Celestial Photographs

Celestial mechanics.

Albouy, Alain (Paris, France) Belbruno, Ed (Princeton, USA) Buck, Gregory (Saint Anselm College, USA) Chenciner, Alain (Paris, France) Corbera, Montserrat (Universitat de Vic, Spain) Cushman, Richard (Utrecht, Holland and Calgary, Canada) Diacu, Florin (Victoria, Canada) Gerver, Joseph (Rutgers, USA) Hampton, Marshall (Minneapolis, USA) Kotsireas, Ilias (Wilfried Laurier, Waterloo, Canada) Laco...

Photographs

The Motion of Celestial Bodies

The history of celestial mechanics is first briefly surveyed, identifying the major contributors and their contributions. The Ptolemaic and Copernican world models, Kepler’s laws of planetary motion and Newton’s laws of universal gravity are presented. It is shown that the orbit of a body moving under the gravitational attraction of another body can be represented by a conic section. The six or...

Celestial Mechanics of Elastic Bodies

We construct time independent configurations of two gravitating elastic bodies. These configurations either correspond to the two bodies moving in a circular orbit around their center of mass or strictly static configurations.

Perturbation Theory in Celestial Mechanics

4 Classical perturbation theory 4 4.1 The classical theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 4.2 The precession of the perihelion of Mercury . . . . . . . . . . . . . . . . . . . . 6 4.2.1 Delaunay action–angle variables . . . . . . . . . . . . . . . . . . . . . . 6 4.2.2 The restricted, planar, circular, three–body problem . . . . . . . . . . . 7 4.2.3 Expansi...