Paul Gilster's Blog, page 157
March 10, 2016
Aftermath: Debris Disk around a Red Giant
Debris disks around young stars are keys to understanding how planets form. But what about debris around older stars? We now have the best view ever achieved of the dusty disk around an aging star — a red giant — and we’re forced to ask whether such a debris disk, so similar to what we see around young stars, could itself form a second generation of planets. The star in question is a binary designated IRAS 08544-4431, first detected by the Infrared Astronomical Satellite in the 1980s. Some 4000 light years from Earth in the direction of the southern constellation Vela (The Sails), the system contains a red giant (the source of the material in the surrounding disk) and a much smaller, less evolved companion star.
Image: The dusty ring around the aging double star IRAS 08544-4431. Credit: ESO.
Here we’re working with data from the Very Large Telescope Interferometer at the European Southern Observatory’s Paranal Observatory (Chile) using the PIONIER (Precision Integrated-Optics Near-infrared Imaging ExpeRiment) instrument that draws out the full power of the VLTI. Jacques Kluska (University of Exeter, UK) explains what we are looking at:
“By combining light from several telescopes of the Very Large Telescope Interferometer, we obtained an image of stunning sharpness — equivalent to what a telescope with a diameter of 150 metres would see. The resolution is so high that, for comparison, we could determine the size and shape of a one euro coin seen from a distance of two thousand kilometres.”
Have a closer look at the debris disk here. The inner dust rim of the circumbinary disk corresponds to where we would expect the dusty disk to begin, with any dust closer to the two stars evaporating in the flux. While there are a number of debris disks associated with nearby young stars, we have not until now had a detailed look at the disks around old stellar systems like this one. Our first comparison between the two types of disk shows that they look remarkably alike even though they form at opposite ends of the star’s life cycle.
The red giant in this system is an asymptotic giant branch (AGB) star (the ‘asymptotic giant branch’ is that part of the Hertzsprung-Russell diagram containing low- to medium-mass stars that are highly evolved; i.e., red giants that emerge late in the lifetime of the star). As for the binary companion, the researchers, led by Michel Hillen and Hans Van Winckel (Instituut voor Sterrenkunde in Leuven, Belgium) believe that it shows its own accretion disk. Hillen refers to “…a fainter glow that is probably coming from a small accretion disc around the companion star,” and adds, “We knew the star was double, but weren’t expecting to see the companion directly.”
The paper makes the case for the second accretion disk. In the passage below, Hα refers to the H-alpha spectral line for hydrogen. P Cygni is a hypergiant luminous blue variable (LBV) star in the constellation Cygnus to which this system is being compared:
IRAS 08544-4431 is the first post-AGB binary system in which direct emission from the secondary is detected, and even spatially separated from the primary. There are two hypotheses to explain the high companion flux at 1.65 µm: thermal emission from the surface of a 1.5−2.0 M⊙ red giant or emission from a compact accretion disk around a 1.5−2.0 M⊙ main-sequence star. We consider the second case more likely because observations of similar post-AGB systems indicate that circum-companion accretion disks may be common… The main evidence comes from the detection (in Hα and for more inclined systems) of fast outflows that originate from the companion. The Hα line of IRAS 08544-4431 has a P Cygni-like profile… which is consistent with this interpretation, given that we find the system to be viewed close to face-on.
Can a red giant form new planets from the debris disk that surrounds it? And what about surviving planets around an evolving red giant? These are interesting speculations, and they call to mind a 2005 paper from Bruno Lopez, Jean Schneider and William Danchi titled “Can Life develop in the expanded habitable zones around Red Giant Stars?” Here’s food for thought:
For a 1 M⊙ star at the first stages of its post main-sequence evolution, the temporal transit of the habitable zone is estimated to be of several 109 years at 2 AU and around 108 years at 9 AU. Under these circumstances life could develop at distances in the range 2-9 AU in the environment of sub-giant or giant stars and in the far distant future in the environment of our own Solar System. After a star completes its first ascent along the Red Giant Branch and the He flash takes place, there is an additional stable period of quiescent He core burning during which there is another opportunity for life to develop. For a 1 M⊙ star there is an additional 109 years with a stable habitable zone in the region from 7 to 22 AU.
We tend to rule out red giant stars when it comes to possible life, but perhaps we’re jumping to one conclusion too many. In any event, the new work on the IRAS 08544-4431 system reminds us we’re early in the game when it comes to understanding what goes on in this environment.
The paper on IRAS 08544-4431 is Hillen et al., “Imaging the dust sublimation front of a circumbinary disk,” Astronomy & Astrophysics 588, L1 (2016). Preprint available. The Lopez, Schneider and Danchi paper on red giants is “Can Life develop in the expanded habitable zones around Red Giant Stars?” Astrophysical Journal Vol. 627, No. 2 (2005). Abstract / preprint.





March 9, 2016
Into the ‘Transit Zone’
Given how powerful the transit method has proven for detecting exoplanets, we can assume great things are ahead. It won’t be that many years before we’re actually analyzing the atmospheric constituents of worlds much smaller than the gas giants for which we perform such studies now. That would make it possible for us to discover possible biosignatures. As I’ve speculated in these pages before, it may well be that we discover life on a planet around a distant star before we manage to discover it — if it exists — elsewhere in our Solar System.
We’re looking at worlds around other suns with something of the same spirit that Carl Sagan and the Voyager team looked back from the outer reaches and saw the Earth as a ‘pale blue dot.’ It’s a comparison that René Heller and Ralph E. Pudritz draw in their recent paper on SETI strategy. Except here we’re talking about extraterrestrial observers looking at our planet, the assumption being that if we can make these studies using our current technologies, so can another species, and certainly one with tools that may be much improved over our own.
Image: Astrophysicist René Heller. Credit: Nick Kozak, for Science et Vie (2015).
A Thin Strip of Sky
Thus we get what the researchers are calling the Earth’s Transit Zone, or ETZ. It’s that region from which another civilization would be able to detect the Earth as a transiting planet in front of the Sun. Heller (Max Planck Institute for Solar System Research, Göttingen) and Pudritz (McMaster University, Ontario) analyze this thin region, a strip around the ecliptic projected out onto the galaxy. The entire ETZ amounts to about two thousandths of the entire sky, which is precisely why the authors like it. Says Heller:
“The key point of this strategy is that it confines the search area to a very small part of the sky. As a consequence, it might take us less than a human life span to find out whether or not there are extraterrestrial astronomers who have found the Earth. They may have detected Earth’s biogenic atmosphere and started to contact whoever is home.”
What the researchers provide is an extension of ideas that go back at least into the 1980s, and were discussed in a 1990 paper by the Russian astronomer L. N. Filippova, who presented a list of nearby stars near the ecliptic that would be good targets for SETI. A 2008 poster at the American Astronomical Society produced by Richard Conn Henry, Steve Kilston and Seth Shostak addressed the matter as well, making this case in its abstract:
…the best hope for success in SETI is exploration of the possibility that there are a few extremely ancient but non-colonizing civilizations; civilizations that, aeons ago, detected the existence of Earth (oxygen, and hence life) and of its Moon (stabilizing Earth’s rotation) via observations of transits of the Sun (hence, ecliptic, which is stable over millions of years…, and have been beaming voluminous information in our direction ever since, in their faint hope (now realized) that a technological “receiving” species would appear. To maintain such a targeted broadcast would be extremely cheap for an advanced civilization. A search of a swath centered on our ecliptic plane should easily find such civilizations, if they exist.
Image: Narrow band: This image illustrates the transit zone, in which distant observers could see the Earth pass in front of the Sun. Credit and copyright: Axel Quetz (MPIA) / Axel Mellinger, Central Michigan University.
But Heller and Pudritz don’t limit themselves to intentional communications of this sort. Whether it’s leakage radiation or directed signals, their intent is to present a rigorous geometric description of the Earth Transit Zone for SETI use, one that contains almost 100,000 stars, with a small sub-group of 82 nearby stars that can serve as an early target list. The authors point out that the PLATO mission, to be launched by the European Space Agency in 2024, will use the transit method to find small planets around many bright stars like those on the list.
“PLATO might even detect the transits of exoplanets, whose possible inhabitants would be able to see the Earth transiting the Sun,” Heller adds. “Such a crazy setup would offer both them and us the possibility of studying each other’s planets with the transit method.”
As to the size of the ETZ, the paper notes that the galactic disk has a width of some 600 parsecs at the Sun’s location. Bear in mind that the Solar System is tilted against the galactic plane by about 63,° which gives us an Earth Transit Zone whose path through the disk is about 1 kiloparsec long (3261 light years). Heller and Pudritz do not consider M-dwarfs, but place their focus on K and G-class stars. The paper describes the selection of the 82 priority stars:
By rejecting all F, A, and B stellar types we make sure that we only take into account stars with lifetimes long enough to actually host habitable planets for billions of years. A more sophisticated approach would make use of the stellar ages (if known) for the remaining K and G stars, as done by Turnbull and Tarter (2003a), as some of these targets might still be very young with little time for the emergence of an intelligent species. Nevertheless, most of these stars should be of similar age as the Sun since they are in the solar neighborhood of the Milky Way. The rejection of giants and subgiants finally leaves us with 45 K and 37 G dwarfs.
What we see in the Earth Transit Zone is a way of confining our SETI search to a high-priority region that runs as a 0.528° ribbon along the ecliptic, defining that place where extraterrestrial astronomers would be able to see non-grazing transits of the Earth in front of the Sun. Heller and Pudritz estimate the total number of K and G dwarfs within 1 kiloparsec inside the ETZ is about 100,000, with estimates for habitable zone terrestrial planets from among this number reaching as high as 10,000. SETI thus gets a highly confined search area within which to focus its attention as we look for signs that planets we can discover may have discovered us.
The paper is Heller, “The Search for Extraterrestrial Intelligence in Earth’s Solar Transit Zone,” Astrobiology Vol. 16, No. 4 (2016). Preprint available. See also this news release from the Max Planck Institute for Solar System Research. If you’re interested in digging into the early history of the ecliptic and ETZ concept, check the Filippova paper mentioned above, which is “A List of Near Ecliptical Sun like Stars for the Zodiac SETI Program,“ Astronomicheskii
Tsirkulyar 1544:37 (1990). See also Filippova’s 1998 paper with V. S. Strelnitskij, “Ecliptic as an Attractor for SETI,” Astronomicheskii Tsirkulyar 1531:31.





March 8, 2016
SETI: Knowing Where to Look
Running a site like Centauri Dreams means adapting and reconfiguring on a daily basis. The best laid plans and all that… When I wrote recently about the SETI efforts at KIC 8462852, my plan had been to follow up that discussion with a broader SETI issue — where is the best place in the sky to search for a SETI signal? Then life intervened, first with my preparations to go to the Tennessee Valley Interstellar Workshop in Chattanooga, and then with the illness that cancelled those plans and left me with a thoroughly disrupted train of thought.
I’m now ready to tackle that SETI question with particular reference to a new paper by René Heller and Ralph E. Pudritz, but I still want to put the discussion into context. With the KIC 8462852 SETI effort, we looked at a targeted observation campaign using the Allen Telescope Array to see if researchers could find any evidence of unusual activity associated with the star. As we saw in Jim and Dominic Benford’s recent work (see Power Beaming Parameters & SETI re KIC 8462852), no evidence of microwave beaming could be found in the brief observational window, although our equipment would be capable of detecting many forms of it.
The unusual light curves in our Kepler data made KIC 8462852 a high-profile target. What the ATA search was looking for was ‘leakage’ radiation, associated with the activities of a technological civilization but not intended as deliberate attempts to communicate with anyone else. And the fact that we found nothing shouldn’t be taken too far in any particular direction. A thorough study of KIC 8462852 in a more systematic manner and at other frequencies would be called for if we wanted to investigate the star in depth and had the resources to do it long-term.
But what about this matter of leakage’ radiation? It’s an intriguing fact that there have been receptions of signals of a one-off nature (the Wow! signal is one) that could conceivably be the result of a beam sweeping past us from a distant system. Or, at least, consistent with it — these are pulsed, intermittent signals that were reported, for example, in a 1997 survey of the Milky Way’s center (citation below). We also have sources like GCRT J1745-3009, a transient bursting radio source that fails our expectations for flare stars, binary pulsars and much else.
Image: The Allen Telescope Array, recently used for a SETI effort at KIC 8462852. Credit: ATA.
A Communicating Civilization
SETI got started in the experimental way with Frank Drake’s work at Green Bank in 1960, targeting the close stars Tau Ceti and Epsilon Eridani. Here the intention was to listen out for a directed signal, a ‘hello’ announcement from another star system, and for one brief, unforgettable moment, Drake thought he had found one (the signal, we now know, was local). Given the nature of such directed beaming, this would theoretically be a much easier signal to detect, as it would stay fixed upon us and would be at sufficient power levels that, unlike our own radio and television broadcasts, it would survive the long interstellar journey.
Most of the SETI searches since — there have been more than 100! — have looked at nearby systems or in some cases stellar clusters. The SETI Institute’s Project Phoenix worked at different sites between 1995 and 2004 and, according to Heller and Pudritz (both at McMaster University, Ontario) covered more than 800 stars as distant as 240 light years. We’ve done targeted searches of the galactic center and highly focused looks at specific stars like Gl 581, and in 2015 we looked for laser emissions from more than a thousand Kepler Objects of Interest. And let’s not forget the SETI@Home project that draws on Arecibo data.
We have yet to find directed beacons or leakage radiation unless some of the signals discussed above happen to be instances of one or the other — the eponymous ‘Benford beacon’ would actually sweep past us as a transient which we couldn’t identify without further observations.
In terms of sheer numbers, we would expect leakage signals would be the most abundant, because they would be generated by many technological civilizations and not just those intent on communicating with us. In any case, where to look seems clear. Looking toward regions of sky with higher stellar densities makes abundant sense. If ETI is out there, we would expect to see more signal activity where there are more worlds that might be habitable.
Image: The world’s largest fully steerable radio telescope, at Green Bank, West Virginia. Frank Drake launched observational SETI from Green Bank in 1960. Credit: NRAO.
Toward the Galactic Center
Thus the galactic center search strategy laid out by Gregory, Dominic and Jim Benford in an older paper, 2010’s “Searching for Cost Optimized Interstellar Beacons,” which calls for a search in the plane of the spiral disk because 90 percent of the galaxy’s stars are within 9% of the sky in the plane and hub of the galaxy. From the analysis:
Whatever forms might dwell further in from us toward the center, they must know the basic symmetry of the spiral. This suggests the natural corridor for communication is along the spiral’s radius from Galactic Center or toward it, a simple direction known to everyone. (A radius is better than aiming along a spiral arm, since the arm curves away from any straight-line view of view. On the other hand, along our nearby spiral arms the stars are roughly the age of ours.) This avenue maximizes the number of stars within a telescope’s view, especially by staring at the galactic hub. Thus, a Beacon near the center should at least broadcast outward in both directions, while societies at the far reaches may save half their cost by not emitting outward, since there is much less chance of advanced societies there.
But we’re not through yet. In fact, we’re just beginning, as this paper goes on to explain. In 2004, Robert A. Rohde & Richard A. Muller (UC-Berkeley) suggested a 62 million-year cycle followed by marine life on Earth, a suggestion developed by subsequent researchers to suggest that the movement of our Sun vertically above and below the galactic plane (a 62-million year oscillation) would mean that the galaxy’s bow shock produces additional cosmic ray flux when the Sun reaches its extended position north of the galactic plane. This enhanced flux could damage the biosphere and would presumably do so for any inhabited world.
We may, then, have a plane near the center of the galactic disk perhaps 500 light years deep within which intelligent life is more likely to be found. It’s interesting to note that the highest power transient sources reported by Carl Sagan and Paul Horowitz in a 1993 paper lie close to the galactic plane, and the idea of a vertical oscillation of about 500 light years within which intelligent life is more likely gives us another way to focus our search on likely targets.
Image: The Milky Way in stars and dust, showing us the most likely regions of the sky in which to search for SETI signals. Credit & Copyright: Serge Brunier.
Now back to Heller and Pudritz, who have drawn on an idea first mooted in the 1980s. The two scientists suggest that we focus our attention to an even smaller swath of stars, as defined by planetary systems from which it is possible to see the Earth transiting in front of the Sun. Think of a thin strip around the ecliptic and project that strip onto the galaxy — Heller and Pudritz call this strip the Earth’s transit zone, or ETZ. The idea is that extraterrestrials observing the Earth from within the ETZ will have direct evidence that there is life here, which would make them more likely to attempt communications.
I’m running out of time this morning, but tomorrow we’ll look at the notion of the Earth’s transit zone as it applies to practical decisions about targets. It turns out there are numerous stars for us to look at, but it’s also a well-defined population of extremely high-priority targets.
The paper is Heller & Pudritz, “The Search for Extraterrestrial Intelligence in Earth’s Solar Transit Zone,” Astrobiology Vol. 16, No. 4 (2016) (preprint). The Benfords’ paper is “Searching for Cost Optimized Interstellar Beacons,” Astrobiology 10 (2010), 491-498 (abstract / preprint). The 1997 paper mentioning the transients I discuss above is Sullivan et al., “A Galactic Center Search For Extraterrestrial Intelligent Signals,” Astronomical and Biochemical Origins and the Search for Life in the Universe, IAU Colloquium 161, Publisher: Bologna, Italy, p. 653.





March 7, 2016
New Eyes on the Kuiper Belt
You probably recall how tricky it was to find 2014 MU69, the small Kuiper Belt Object that will be the next destination for our New Horizons probe. The actual extended mission to 2014 MU69 awaits a summer 2016 review within NASA, but because trajectory changes to get there could not be delayed, the New Horizons craft performed four maneuvers late last year to set the course. The search for a suitable KBO began in 2011 and it was not until 2014, working with data from the Hubble Space Telescope, that scientists were able to find their best candidate.
Now consider that 2014 MU69 has a diameter of about 45 kilometers, making it ten times larger than the average comet. How difficult, then, to assess the true population of smaller Kuiper Belt Objects. We’d like to know a lot more about much smaller KBOs, because assessing the abundance and collisional processes of these objects is way of understanding the debris disks we’re seeing around other stars. Current theory suggests that KBOs below about 10 kilometers in radius are readily broken up, but we haven’t been able to test the idea with observations because objects this small are too faint to be in detected in reflected light.
Now we have an improved way of looking. CHIMERA (the Caltech HIgh-speed Multi-color camERA) works by studying occultations, monitoring thousands of stars simultaneously to see if a KBO of any size moves in front of them for a fraction of a second. All of this calls for a fast camera, but this wide-field telescope system seems up to the job. Leon Harding is CHIMERA instrument scientist at the Jet Propulsion Laboratory, and lead author of the paper on this work:
“Each of CHIMERA’s cameras will be taking 40 frames per second, allowing us to measure the distinct diffraction pattern in the wavelengths of light to which they are sensitive. This high-speed imaging technique will enable us to find new Kuiper Belt objects far less massive in size than any other ground-based survey to date.”
Scientists working with CHIMERA, which is now installed on the Hale telescope at Palomar, believe that the first 100 hours of data from the instrument should produce dozens of small KBOs. Usefully, the instrument is also effective for detecting near-Earth asteroids down to 10 meters in size. In fact, its wide-field imaging techniques can be applied to everything from nearby debris in space to distant eclipsing binary star systems, pulsing white dwarfs, aurorae on brown dwarfs and transiting planets. Adds Harding: “Not only can we image over a wide field, but in other modes we can also image objects rotating hundreds of times per second.”
As witness the image below, showing the Crab Pulsar as seen by CHIMERA. Spinning at 32 times per second, the pulsar is a young neutron star that is the remnant of the supernova observed on Earth in the year 1054, and is one of the few pulsars that can be observed optically. CHIMERA focused on the pulsar for a 300-second exposure, imaging the entire field of view at a rate of 40 frames per second. The result speaks for itself.
Image: This image of the Crab Pulsar was taken with CHIMERA, an instrument on the Hale telescope at the Palomar Observatory, which is operated by the California Institute of Technology. This pulsar is the end result of a star whose mass collapsed at the end of its life. It weighs as much as our sun, but spins 32 times per second. The instrument focused on the pulsar for a 300-second exposure to produce a color image. CHIMERA zoomed in on the pulsar and imaged it very fast, then imaged the rest of the scene slowly to create this image. Credit: NASA/JPL-Caltech.
But as the first paper on CHIMERA, published in Monthly Notices of the Royal Astronomical Society notes, the instrument was conceived and designed to search for KBOs, given the fact that 31,500 star hours of archival data from the Hubble Space Telescope produced so few discoveries. Ground-based surveys with the right equipment should ramp up those numbers.Commissioned in July of 2014, CHIMERA is now at work on Kuiper Belt detections. A substantial upgrade extending its capabilities is already in the works.
Image: The globular cluster M22, located in the constellation Sagittarius, was imaged by the CHIMERA instrument. The team will observe M22 and other star fields to look for signs of Kuiper Belt objects. Credit: NASA/JPL-Caltech.
The paper is Harding et al., “CHIMERA: a wide-field, multi-colour, high-speed photometer at the prime focus of the Hale telescope,” published online by Monthly Notices of the Royal Astronomical Society 2 March 2016 (full text). A JPL news release is also available.





March 4, 2016
A Transiting Jupiter Analog
David Kipping and colleagues have discovered what they describe as ‘the first validated transiting Jupiter analog,’ a planet orbiting the K-class dwarf KIC-3239945. Kepler-167e is about 90 percent the size of Jupiter and orbits its star at about twice the distance that the Earth orbits the Sun. Given the fact that the star is cooler than the Sun — an orange rather than a yellow dwarf — temperature estimates for the planet are in the 130 K range, only about 20 K warmer than Jupiter. The discovery is discussed on the Cool Worlds YouTube channel, an outreach project launched by the Cool Worlds Lab at Columbia University, and is the subject of a paper submitted to The Astrophysical Journal (citation below).
Kepler-167e isn’t just another ‘hot Jupiter’, a class of worlds that is well populated. ‘Hot Jupiters’ occupy orbits extremely close to the parent star. Finding a true Jupiter analog — i.e., a planet in a close to circular orbit in a position roughly analogous to Jupiter’s in our Solar System — is a considerably more difficult challenge because of the nature of our detection methods. Radial velocity techniques readily detect planets close to their stars but become far more challenging with increasing orbital distance. Transits, meanwhile, have proven their worth through the Kepler mission and elsewhere, but a planet as far from its star as Kepler-167e will show transits separated by years. That demands patient observation, and raw luck.
Consider: Kepler-167e transits its star every 2.9 years. Kipping points out that the primary Kepler mission only looked at this star for 4.3 years. We are lucky, in other words, that we got two transits, when conceivably we might have detected just a single transit right in the middle of the observation period. A single transit, of course, would yield no idea of the orbital period of the planet. But as Kipping goes on to say in the video, the transit method has additional virtues:
“The transit method can actually do a lot more than other methods. We can not only tell [the planet’s] size and its inclination, we can even go look for moons, for rings, we can even measure the atmosphere of exoplanets. And you just can’t do that with other techniques.”
True enough, and of course Kipping’s work at the Hunting for Exomoons with Kepler (HEK) project is all about exomoon detection. We’re now getting into interesting territory indeed, for we know that in our own Solar System, the gas giants Jupiter and Saturn are accompanied by numerous icy moons. If we begin finding more and more Jupiter analogs, we may be upping the stakes for the detection of exomoons, a hunt which has so far been conducted on worlds orbiting their stars closer than the Earth orbits the Sun. Kipping calls Jupiter analogs ‘a promised land for exomoon hunting.’ And let’s not forget the possibility of rings.
Image: David Kipping (Columbia University) delivering a guest lecture at Harvard on “Life as a Planetary Phenomenon.” Click to watch the lecture on YouTube.
Are two transits enough to declare this a planet candidate? I asked Kipping about this in an email, and this is his response:
Yes, historically the standard has been three (or more) transits. I suspect this stems from the fact early transit surveys were exclusively ground-based, which have plenty of data gaps. With just two transits and lots of gaps in between, you can’t be sure the difference in time between the two is the real period, it could a half or a third that value. For Kepler-167e though, we have continuous photometric coverage of the star (from Kepler) in the 1071 day gap between the two events, and so we can rule out the period being some integer fraction of 1071 days.
The paper on this work offers further insights. One issue at stake is the planetary architecture of the system around KIC-3239945. Inside the orbit of Kepler-167e we find three other planets, each of them about twice the size of Earth. In some sense, then, this system resembles ours except that these inner planets are close to their star. We see a compact and transiting inner system, then a large cavity and then a transiting Jupiter analog. The paper speculates that because transit surveys have poor sensitivity to long-period planets, it may be that case that outer planets like Kepler-167e will be found in many compact multi-planet systems.
The paper goes on to suggest that radial velocity surveys targeting the brighter multi-planet systems found by Kepler could eventually resolve this issue. And note this:
Additional non-transiting planets could reside in the Kepler-167 cavity, although the known four planets display remarkable coplanarity and low eccentricities, suggestive of a dynamically cold system. Amongst the inner planets, the planet sizes increase as one approaches the parent star. Using the Chen & Kipping (2016) mass-radius model, we estimate that the inner two planets are most likely gaseous worlds whilst the outer planet is most likely rocky… Whilst this pattern ostensibly jars our anthropocentric prior, as well as the expected outcome of photo-evaporation (Lopez & Fortney 2013), Ciardi et al. (2013) find that there is no preferential ordering of compact Kepler multis for planets R ≲ 3R⊕.
It’s always useful, in my estimation, to give a good jolt to our anthropocentric assumptions! Transiting Jupiter analogs may turn out to be a very helpful kind of exoplanet, leading us to our first exomoons and, of course, offering the opportunity for analysis of their atmospheres through transmission spectroscopy. All in all, Kepler-167e is a satisfying find indeed.
The paper is Kipping et al., “A Transiting Jupiter Analog,” accepted at The Astrophysical Journal (preprint).





March 3, 2016
A New Kind of ‘Fast Radio Burst’
A new paper in Nature offers further information about Fast Radio Bursts (FRBs), which we last looked at only a few days back. The February 24 post examined work on FRBs that were consistent with what has been seen before — transient pulses lasting mere milliseconds, while emitting huge amounts of energy (see Fast Radio Bursts: First Distance Measurement). Now we have further work out of the Max Planck Institute for Radio Astronomy (MPIfR) in Germany that describes the detection of the first source of repeating bursts, an object outside our own galaxy that is producing multiple short bursts.
Lead author Laura Spitler (MPIfR) explains that a McGill University graduate student named Paul Scholz, using data from the Arecibo radio telescope in Puerto Rico, discovered the repeat signals last November. Scholz found a total of 10 new bursts. “Not only does this source repeat, but the brightness and spectra of the bursts also differs from those of other FRBs,” adds Spitler. We may be looking at a new class of FRB, one perhaps drawing on extremely powerful flare activity in a rotating neutron star.
Image: The 305-m Arecibo telescope and its suspended support platform of radio receivers is shown amid a starry night in this artist’s impression. From space, a sequence of millisecond-duration radio flashes are racing towards the dish, where they will be reflected and detected by the radio receivers. Such radio signals are called Fast Radio Bursts, and Arecibo is the first telescope to see repeat bursts from the same source. Credit: Danielle Futselaar.
This MPIfR news release also points to an upcoming paper in Monthly Notices of the Royal Astronomical Society, which reports on a repeating FRB signature found by the Parkes radio telescope in Australia. Although not yet published, the preprint of this work is available, from which this:
Among the new FRBs is the largest excess DM [dispersion measure, the integrated free electron density along the line of sight] to date giving a redshift limit of
A word on the term ‘dispersion measure,’ as found above. It is possible to distinguish a pulse from man-made interference because electrons in the interstellar medium cause radio waves to travel more slowly at lower radio frequencies. You’ll note above that the dispersion measure in the new observations is said to be the largest to date. All ten of the newly discovered bursts have a far higher dispersion measure than would be found in a source within our galaxy.
So now we have a bit of a conundrum. The work discussed here on the 24th was also produced by researchers at the Max Planck Institute for Radio Astronomy and likewise published in Nature. It focused on FRBs as cataclysmic events like gamma-ray bursts, which would not generate repeat occurrences. Now we are talking about a repeating FRB that results from an extragalactic neutron star. The implication: There are multiple ways to produce an FRB.
The plan going forward is to use interferometry to study the origins of these radio bursts. Jason Hessels (University of Amsterdam), a corresponding author on the Nature paper, notes the possibilities:
“Once we have precisely localized the repeater’s position on the sky, we will be able to compare observations from optical and X-ray telescopes and see if there is a galaxy there. Finding the host galaxy of this source is critical to understanding its properties.”
I may have the exact number wrong and probably do, but at best the number of FRBs thus far detected is still tiny — I make out 32 events so far. At any rate, each new event has the potential for revising our understanding of these unusual phenomena.
The paper is Spitler et al,, “A repeating fast radio burst,” published online by Nature 02 March 2016 (abstract). The upcoming MNRAS paper is Champion et al., “Five new Fast Radio Bursts from the HTRU high latitude survey: first evidence for two-component bursts.” submitted to Monthly Notices of the Royal Astronomical Society (preprint).





March 2, 2016
False Positives in the Search for Extraterrestrial Life
I’m still smarting about having to cancel my travel plans for the Tennessee Valley Interstellar Workshop in Chattanooga, particularly since the Tau Zero Foundation was one of the sponsors of the event. But fortunately, I do have people offering to write up the workshop for Centauri Dreams, so we’ll have some coverage and photos soon. Onward…
Hunting for Biosignatures
We only have two years before the James Webb Space Telescope is scheduled to launch. Assuming all goes well, JWST should help ease us into the era of biosignature detection, as we look for the characteristic signs of living organisms in the atmospheres of their worlds. But just how definitive are such signatures? A new paper from the University of Washington digs into potential false positives and offers specifics on the signatures that could fool us.
One way to study biosignatures is by transit spectroscopy, using data gathered from starlight as it passes through a planet’s atmosphere during a transit. This allows us to analyze the features of light that flag particular atmospheric constituents. Would a strong oxygen signature necessarily indicate life? You would think so, because the oxygen in Earth’s atmosphere, O2, is unstable over geological timeframes and would gradually be depleted through reactions with volcanic gases and oxidation at the surface.
On our planet, then, oxygen needs a replenishing source, which is provided through photosynthesis as plants and algae tap sunlight for energy. But Edward Schwieterman and team argue that while abiotic oxygen will not build up to significant levels on Earth, it can certainly arise in a number of different planetary settings. That fact should give us pause.
Working under the aegis of the university’s Virtual Planet Laboratory, Schwieterman sees oxygen as a potential ‘biosignature impostor.’ The abiotic creation of oxygen, particularly around the kind of low mass stars that are likely to be our first targets for this kind of work, can happen when ultraviolet light from the star splits carbon dioxide molecules, allowing some of the oxygen atoms to form O2. We get oxygen without any requirement for biology to sustain it.
Image: New research from the University of Washington-based Virtual Planetary Laboratory will help astronomers better identify and rule out “false positives” in the ongoing search for life. Shown is an artist’s rendering of Kepler 62E, about 1,200 light-years away in the constellation Lyra. Credit: NASA
Usefully, Schwieterman’s computer models show that this process will also produce detectable amounts of carbon monoxide. Thus the presence of carbon dioxide and carbon monoxide would raise doubts about the simultaneous detection of oxygen in that planetary atmosphere. Abiotic processes rather than life might well be the agent. We can use this to our advantage:
…in the cases presented here, the spectral discriminators against abiotic O2/O3 are more detectable with a hypothetical JWST observation than the O2 or O3 signatures themselves. In our example spectra, neither O2 nor O3 would be directly detectable with just 10 transits, but the abiotic discriminators CO/CO2 and O4 could be. This provides an opportunity to maximize the utility of observing time if the ultimate goal is to characterize planets where true biosignatures are obtainable. If spectral indicators for biosignature impostors are detected with reasonable confidence, the community may wish to reallocate the remaining time to other promising targets, rather than integrate further.
The mention of O4 above is a reference to a second kind of biosignature impostor, where light from the primary star breaks down atmospheric water on the rocky planet under investigation. In this case, we get large amounts of oxygen as the hydrogen escapes, and might expect to find short-lived pairs of oxygen molecules that become O4 molecules, producing a distinctive signature of their own. A higher percentage of oxygen is produced than Earth has ever had in its atmosphere, as Schwieterman notes:
“Certain O4 features are potentially detectable in transit spectroscopy, and many more could be seen in reflected light. Seeing a large O4 signature could tip you off that this atmosphere has far too much oxygen to be biologically produced.”
Detecting this particular ‘biosignature impostor’ is best done through direct imaging, while carbon dioxide and carbon monoxide signatures are more readily identified through transit spectroscopy. The paper looks at simulations of direct imaging spectra:
This simple test case demonstrates that if the high-O2 atmospheres proposed by Luger & Barnes (2015) exist, the O4 absorption band strength in those planetary spectra would rival or exceed that of the monomer O2 bands. These spectra are qualitatively different than modern-Earth’s spectrum, even in the 0.3-1.0 µm range, with a different shape, broader O2 features, and additional features from O4. These are all signs of a much higher O2 abundance than the Earth’s atmosphere – self-regulated by negative feedbacks – has ever achieved.
Schwieterman and team believe the first potentially habitable planets whose atmospheres we study will be orbiting M-class dwarf stars, the kind of planets most likely to show both kinds of biosignature impostors discussed above. Thus we’ll be faced with the need to interpret potential biosignatures that could be confusing without these criteria. Says Schwieterman:
“The potential discovery of life beyond our solar system is of such a huge magnitude and consequence, we really need to be sure we’ve got it right — that when we interpret the light from these exoplanets we know exactly what we’re looking for, and what could fool us.”
The paper is Schwieterman et al., “Identifying Planetary Biosignature Impostors: Spectral Features of CO and O4 Resulting from Abiotic O2/O3 Production,” Astrophysical Journal Letters Vo.. 819, No. 1 (25 February 2016). Abstract / preprint. A University of Washington news release is also available.





March 1, 2016
Administrivia: Disrupted Schedule, Server Upgrade
My plan to attend the Tennessee Valley Interstellar Workshop this week fell through when I became ill two days before departure date. Talk about bad timing. TVIW is a wonderful conference, and not only was my son Miles flying in for the event, but I had planned many good conversations with friends in the interstellar community. I was also looking forward to the Homo Stellaris working track led by Robert Hampson. I’ve been at all previous TVIWs and deeply regret having missed this one.
I’m hoping for a less foggy mind by tomorrow, at which point I’ll resume the schedule here, which is four or five posts per week unless interrupted by travel. Complicating this past few days has been a server migration which apparently went well (this, thankfully, was out of my hands), and the need for a PHP upgrade, which should be occurring by the end of the week. Fingers crossed, I am hoping for no disruption. I’ll hope to get some reports from TVIW and pass along links to presentations from the Chattanooga conference as they become available.





February 26, 2016
Power Beaming Parameters & SETI re KIC 8462852
When I first got interested in SETI, I naively assumed that we would get a detection fairly soon, and that we would detect not a directed beacon but simple background traffic in a remote civilization. I had no idea at the time how difficult it would be to pick up the kind of radio traffic we routinely generate on Earth from a distant star, and as a matter of fact, my interest in shortwave radio led me to assume that, just as I enjoyed the sport of DX — listening for distant signals — so SETI would simply be an offshoot of this, with a harder-to-get QSL card.
Some time in the mid-1980s I wrote a piece called “Where the Real DX Is” for Glenn Hauser’s Review of International Broadcasting, running through a list of the nearest stars and talking about SETI projects that had been tried up to then. I haven’t gone back to read that article in years and would probably find it an embarrassing chore. But it’s interesting to me that the idea of leakage radiation does have its place, particularly in the area of beamed power.
Power Beaming at Work
What I knew little of back in the 80’s was how beamed power — using high-power microwave beams but including millimeter-wave beams and lasers — might empower a space-based infrastructure. While television and radio signals are all but undetectable from another star (at least, for a civilization at our level of development), intense, focused beams to impart power to a spacecraft present a better target. The interesting question that James Benford (Microwave Sciences) and son Dominic (NASA GSFC) ask in the paper we began looking at yesterday is just how detectable power beaming would be.
This takes off on ideas Jim Benford discussed last year in these pages (see Seeing Alien Power Beaming), and both Jim and Dominic recently looked at the question in relation to SETI efforts on a very intriguing star indeed in Quantifying KIC 8462852 Power Beaming. After all, if a distant civilization were building something like a Dyson sphere or ‘swarm’ around a star, it would have to have constructed an infrastructure that might well involve power beaming technologies.
Image: A favorite image from a favorite artist, Rick Sternbach. Here we’re looking at an interstellar lightsail near an exotic world. The uses of beamed power in near and deep space are numerous, and many of them appear to be detectable from a SETI perspective. The image comes from a 1983 issue of Science Digest. Credit: Copyright Rick Sternbach.
The Benford paper runs through a number of beaming concepts ranging from orbit raising, a lower power application, to actual launch to orbit using microwave thermal thrusters. Various high-power beaming applications have been quantified for missions within the Solar System as well, using microwave or laser beams to boost craft to 100 to 200 kilometers per second. A mature infrastructure might involve high-speed unmanned supply craft being decelerated upon arrival by a beam system similar to the one that launched it. I mentioned yesterday that beaming from a solar power station in space to a planetary surface is not a likely observable. Here’s why, whether we’re talking about microwave bands or lasers in the optical range:
The beam must be carefully controlled to deliver power to the receiving rectifying antennas on the ground (Mankins 2014). Any side emissions are economic losses, therefore substantial measures would be taken to reduce side lobes to a minimum. Further, the first several sidelobes are absorbed in the ground. The remaining side lobes are dispersed in angle so that the power density in the far field will be very low. For the worked example in Mankins (Mankins 2014; Dickinson 2016), the back lobe is down 40 dB relative to the ∼ 1GW main beam.
And note this:
This is in contrast to power beaming transportation applications, in which the varying solid angle of the receiving spacecraft results in the main beam increasingly leaking around the edges of the vehicle being accelerated.
So that takes detection of one of the numerous power beaming scenarios off the table, but many others survive scrutiny. Have a look at this table from the paper, which draws on representative parameters for applications of power beaming presented earlier in the discussion.
Here we’re looking at observables in terms of slew rate (movement of the beam), the EIRP and the observation time. EIRP stands for Effective Isotropic Radiated Power, the measured radiated power in a single direction — it’s the product of the antenna gain times the power radiated. For useful background, the standard text is Jim Benford’s own High Power Microwaves (now in its third edition, CRC Press, 2016). A quick note on EIRP from the paper:
Spectral flux density, typically denoted in Janskys, is the power density divided by the bandwidth. While this is commonly used as the observed quantity in radio astronomy, we cannot know the bandwidth of an ETI transmitter. Consequently, in thinking about ETI power beaming mission [sic] we must deal with EIRP, not spectral flux density. Beaming power does not require or even necessarily benefit from narrow bandwidth; energy transference is what matters.
Ranking the Observables
The possibilities are numerous, and not all of them designed for deep space. Microwave thermal thrusters, for example, can be fed by a high-power microwave beam in a single-stage rocket with a flat aeroshell on the underside covered by microwave-absorbing heat exchangers. The system is efficient because the energy source remains on the ground — see the paper for further parameters on this as well as orbit raising, where ground-based energy sources lift a satellite to a higher orbit. As the table shows, orbit raising is significantly lower in power than launch from the surface.
But of course beaming applications deeper into the system are a part of a robust infrastructure based on beaming, and here we can look at interplanetary transfers by beam-driven sails, as well as starship concepts involving prolonged acceleration of an interstellar vehicle, like the Robert Forward concepts I mentioned yesterday. Given the power requirements for starships, such beams would be detectable with our current technology, but this would also require that the Earth fall within the bandwidth of the power beam.
These questions of detectability depend, of course, upon the level of technology of the civilization trying to make the detection. In our case, we have the interesting story of the star KIC 8462852 to give us some guidance. We have radio observations of this curious star that found no signs of power beaming in about 180 hours of observations. The idea was to look for incidental radiated power — leakage radiation — produced by an advanced civilization. The observations were made using the Allen Telescope Array in the 1-10 GHz range.
Refer back to the table above and the beaming applications there. These are the authors’ conclusions re the KIC 8462852 observations using the Allen Telescope Array:
The 1 Hz channels could see all the applications, but they are not seen.
Launch from a planetary surface into orbits is marginally detectable, at the threshold of the Allen Array for the 100 kHz observations, if at the frequencies observed. Orbit raising, which requires lower power, is not detectable.
Interplanetary transfers by beam-driven sails should be detectable in their observations, but are not seen. This is for both the 1 Hz and for the 100 kHz observations.
Starships launched by power beams with beamwidths that we happen to fall within (to other solar systems, not our own) would be detectable, but are not seen.
We also learn that the limited observation times and wavelength coverage mean that we have no firm conclusions about the star. More systematic studies, which would include observations at higher radio frequencies, would be called for to come up with a stronger result. I should also mention that an optical SETI attempt was made on KIC 8462852 at the Boquete Optical SETI Observatory in Panama. Given the detection limits of the equipment there and other issues discussed in the paper, none of the power beaming applications in consideration by the Benfords could have been detected at the Boquete site.
The authors’ conclusion:
*As discussed above, the beaming power levels are high and transient and easily dwarf any ETI civilization’s diffuse leakage to space (Sullivan 1978). Power beaming described here is larger than that necessary for beaming systems for communication: EIRP = 1018 W for a 1,000ly-range beacon (Benford, Benford & Benford 2010). SETI programs could explore a different part of parameter space by observations suitable to finding leakage from power beams.
We have no way of knowing whether any civilization exists outside of our own, nor can we know if such a civilization would use power beaming. But the virtues of beamed power for fast transportation within our own Solar System — and for lowering the cost to orbit, as well as raising orbits — give us good reason to continue to explore the use of this technology. In doing so, we should keep in mind that we are producing an observable signal that is well beyond those undetectable “I Love Lucy” episodes that are now 65 light years out. I think the Benfords are right when they argue that detectable radiation is a message in itself, whether or not we ever decide to impose a structured message into the beams that power a future infrastructure.
The paper is Benford & Benford, “Power Beaming Leakage Radiation as a SETI Observable,” submitted to The Astrophysical Journal and available as a preprint.





February 25, 2016
SETI: Power Beaming in Context
Thinking that we can understand the motivations of an extraterrestrial civilization seems like a fool’s gambit, but we have to try. The reason is obvious: We have exactly one technological society to work with — we’re all we have — and if we want to look for SETI signals, we have to interpolate as best we can. An alien culture, it is assumed, will do the same. This was the procedure outlined by Giuseppe Cocconi and Philip Morrison in their classic 1959 paper “Searching for Interstellar Communications,” that began the modern era of SETI.
If there are civilizations around stars like the Sun, the paper reasons, then some will be motivated to reach out elsewhere. From the paper:
To the beings of such a society, our Sun must appear as a likely site for the evolution of a new society. It is highly probable that for a long time they will have been expecting the development of science near the Sun. We shall assume that long ago they established a channel of communication that would one day become known to us, and that they look forward patiently to the answering signals from the Sun which would make known to them that a now society has entered the community of intelligence. What sort of a channel would it be?
What results is an explanation of the factors needed to overcome signal attenuation and the frequencies most likely to be used. Thus we get what Cocconi and Morrison called “a unique, objective standard of frequency, which must be known to every observer in the universe.” This is 1420 MHz, the 21 centimeter wavelength of neutral hydrogen. Thus we know where to look assuming a civilization is trying to make contact with us. The authors conclude “… the foregoing line of argument demonstrates that the presence of interstellar signals is entirely consistent with all we now know, and that if signals are present the means of detecting them is now at hand.”
The Hunt for SETI Observables
We’ve looked frequently in these pages at how SETI has changed since the Cocconi and Morrison days, with so-called ‘Dysonian SETI’ invoked as a way of looking for observable evidence in our astronomical data. The unusual star KIC 8462852 has elevated the method to wider attention because of the possibility that some kind of astroengineering could explain its unusual light curves (search the archives here for numerous articles on the star).
In any case, Dysonian SETI assumes, contra Morrison and Cocconi, no intent to contact anyone. We are simply looking for activity, albeit on a colossal scale. We must be the ones to figure out what that activity might be.
Which brings me to a new paper from James Benford and son Dominic (NASA GSFC). “Power Beaming Leakage as a SETI Observable,” submitted to The Astrophysical Journal, asks whether we might detect the use of power beaming to transfer energy and accelerate spacecraft within a distant solar system and, perhaps, beyond it if the technology is being used to accelerate starships. KIC 8462852 is also considered here because there have been two attempts to study it, one optical and one at radio frequencies, in the context of a SETI search.
As the paper notes:
The most observable leakage from an advanced civilization may well be from the use of power beaming to transfer energy and accelerate spacecraft, both within and beyond the star system where the civilization is located. In future, such applications may make the Earth’s radiation in the microwave, millimeter and visible/near-IR parts of the electromagnetic spectrum be very intense…. The power levels are high, focused, and transient and could easily dwarf any of our previous leakage to space. These are not SETI signals so much as leakage, a detectable aspect of advanced civilizations.
The kind of SETI observable the Benfords are examining is essentially leakage, but of a different kind than the widely repeated trope of picking up alien TV signals, just as extraterrestrial cultures are presumably now enjoying “I Love Lucy” from our signals. As the Benfords argue, the leakage of radio and television signals is essentially undetectable between stars not only due to the weakness of the signal but to its lack of coherence. Planetary radars are much more likely to be detectable, but signals like these are also extremely transient.
Intense beams of radiation being used to move power about in a distant solar system or accelerate spacecraft on long journeys should be more readily detected. James Benford argued as much in 2008, and more recently James Guillochon and Abraham Loeb have quantified the leakage to be expected from space propulsion-related beaming, showing that a beam being used to drive a large sail would be observable. The duo write: “…for a five-year survey with ~10 conjunctions per system, about 10 multiply-transiting, inhabited systems would need to be tracked to guarantee a detection” using our existing radio telescope infrastructure.
Image: Taken from the Guillochon and Loeb paper, this diagram shows a Mars mission using microwave beaming for propulsion. In the schematic, the dashed line represents the sailcraft. You can see the prospects for signal leakage here. Notice the inset showing the beam profile as it overlaps the sail of diameter Ds. Credit: Guillochon & Loeb.
But remember the notion we started with: If we are trying to understand what an extraterrestrial civilization might do, we have to look at the uses we ourselves would make of these technologies. We try to be as flexible as possible while acknowledging the fundamental gap in our knowledge of an alien culture, but we have to start somewhere. And this kind of reasoning takes us down an interesting path, as the Benfords note in their paper. For possessed of powerful beaming technologies, such a culture should be aware of SETI implications:
It has previously been noted that such leakage from other civilizations could be observable (Benford 2008). Guillochon & Loeb (2015) have quantified leakage from beaming for interplanetary space propulsion, its observables, and implications for SETI. Extraterrestrial Intelligence (ETI), having done the same thinking, could realize that they could be observed. Hence there may be a message on the power beam, delivered by modulating it in frequency, amplitude, polarization, phase, etc., and broadcast it for our receipt at little additional energy or cost. By observing leakage from power beams we may well find a message embedded on the beam.
That’s a fascinating notion in its own right. It’s a kind of METI signal sent out by an alien civilization that is, like a beacon, broadly targeted rather than aimed at a specific solar system. And it operates on the assumption that another culture might in the course of its SETI investigations notice high-powered, focused and transient beams and analyze them. Or put another way, if our own civilization has figured this out, our extraterrestrial counterparts working the SETI various concepts must surely have come up with the same implications.
Uses of the Beam
Detecting a message embedded in a power beam would, of course, be a breakthrough of historic proportions, but so would the simple detection of power-beaming itself — no message attached — which would signal the presence of an advanced civilization. One of the things recently looked at by the Allen Telescope Array was whether the intriguing star KIC 8462852 showed any signs of activity, and it turns out that the observations, while finding nothing, do allow us to set some limits on power-beaming in that system. KIC 8462852 became, in other words, a useful exercise even though the observations were short-lived. More tomorrow on this, and also see the Benfords’ Quantifying KIC 8462852 Power Beaming in these pages.
And just what might a technological civilization do with power-beaming methods that we could observe? One answer is obvious: We’ve been talking about beamed sails for well over ten years on Centauri Dreams, keying off Robert Forward’s fascination with the subject as it applied to interstellar missions. Here the requirements are enormous, with a space-based solar power station beaming to a 1000-kilometer sail in some of Forward’s missions, although subsequent work found ways to trim the sail down to the 1-10 kilometer range.
The idea of a power station orbiting in the inner part of the Solar System where the photon-flow is maximized has dual use, as using microwave beams to transport power to a planet’s surface is a major driver. As a SETI observable, power beaming to a planet is not a likely target. The paper notes that the beam would have to be tightly controlled, with side lobes maximally reduced. In contrast, power being beamed to a spacecraft should show increasing leakage as the craft is accelerated — the beam increasingly leaks around the edges of the accelerating vehicle — making transportation applications a realistic SETI observable.
The Benfords’ paper quantifies the various kinds of power beaming missions and applications and their observable parameters, looking at twenty concepts in terms of power radiated, duration and likely time for the radiation to repeat. More on this tomorrow as we continue looking at the paper and the question of how an advanced technology could use power beaming.
The Benfords paper is “Power Beaming Leakage Radiation as a SETI Observable,” submitted to The Astrophysical Journal and available as a preprint. The Guillochon and Loeb paper is “SETI via Leakage From Light Sails in Exoplanetary Systems,” The Astrophysical Journal 811, No. 2 (23 September 2015), with abstract here. Jim Benford also discusses the Guillochon and Loeb paper in Seeing Alien Power Beaming.





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