Maxwell on Saturn's Rings

by James Clerk Maxwell, Stephen G. Brush (Editor), C. W. F. Everitt (Editor)

From the first time they were dimly sighted through Galileo's telescope to the recent spectacular pictures beamed back by Voyager, Saturn's rings have fascinated generations of observers. The scientific problems associated with them have also attracted the attention of successive generations of theoreticians.

James Clerk Maxwell's 1856 Adams Prize Essay, "On the Stability of the Motion of Saturn's Rings," forms the central body of this book and is the work that first established his reputation as one of the greatest mathematical physicists of any generation. It is surrounded by previously unpublished materials written both before and after the essay was completed. The former group consists of sixteen letters - to William Thomson (later Lord Kelvin), George Gabriel Stokes, Peter Guthrie Tait, and other friends and colleagues - written while Maxwell was working out the problems and preparing the essay for publication, and they reveal both the sureness of his approach and false starts and errors. The post-essay documents include a review of the work by George Biddell Airy, the Astronomer Royal, and correspondence with the Harvard astronomer George Bond in 1863. Here Maxwell attempts to extend his analysis to include the effects of collisions among the particles of the ring, employing his own newly developed kinetic theory of gases.

The editors' introduction provides a historical context for Maxwell's contribution. Stephen G. Brush is affiliated with the University of Maryland at College Park, C. W. F. Everitt with Stanford University, and Elizabeth Garber with SUNY at Stony Brook.

Genres: Physics

213 pages, Hardcover

First published September 29, 1983

About the author

James Clerk Maxwell FRS FRSE (Mathematics, Trinity College, Cambridge, 1851) was a Scottish mathematical physicist. His most prominent achievement was to formulate a set of equations that describe electricity, magnetism, and optics as manifestations of the same phenomenon, namely the electromagnetic field. Maxwell's achievements concerning electromagnetism have been called the "second great unification in physics", after the first one realised by Isaac Newton.

With the publication of A Dynamical Theory of the Electromagnetic Field in 1865, Maxwell demonstrated that electric and magnetic fields travel through space as waves moving at the speed of light. Maxwell proposed that light is in fact undulations in the same medium that is the cause of electric and magnetic phenomena. The unification of light and electrical phenomena led to the prediction of the existence of radio waves.

Maxwell helped develop the Maxwell–Boltzmann distribution, which is a statistical means of describing aspects of the kinetic theory of gases. He is also known for presenting the first durable colour photograph in 1861 and for his foundational work on analysing the rigidity of rod-and-joint frameworks (trusses) like those in many bridges.

His discoveries helped usher in the era of modern physics, laying the foundation for such fields as special relativity and quantum mechanics. Many physicists regard Maxwell as the 19th-century scientist having the greatest influence on 20th-century physics, and his contributions to the science are considered by many to be of the same magnitude as those of Isaac Newton and Albert Einstein. In the millennium poll—a survey of the 100 most prominent physicists—Maxwell was voted the third greatest physicist of all time, behind only Newton and Einstein. On the centenary of Maxwell's birthday, Einstein himself described Maxwell's work as the "most profound and the most fruitful that physics has experienced since the time of Newton."