Titlebook: Celestial Mechanics and Astrodynamics: Theory and Practice; Pini Gurfil,P. Kenneth Seidelmann Book 2016 Springer-Verlag GmbH Germany, part

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Introduction,Celestial mechanics embraces the dynamical and mathematical theories describing the motions of planets, satellites, one member of a double star pair around another, and similar phenomena.

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The Two-Body Problem,Assume that the masses are spherically symmetrical and homogeneous in concentric layers. So they attract one another as if the mass were concentrated at spherical centers

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The Restricted Three-Body Problem,An important particular solution of the three-body problem results when one of the three masses is so small, in comparison to the other two, that its gravitational effects can be neglected. This may be called an . compared with the two finite bodies. This is the restricted three-body problem (Szebehely .), as mentioned in Sect. 1.5

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General Perturbations Theory,We have seen the complexity of the problem when more than two gravitating masses are involved. We have seen two methods of determining the orbits, Cowell’s and Encke’s methods. Now, let us look at the basic mathematical description of the perturbation problem.

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People, Progress, Prospects,The developments and progress in celestial mechanics and astrodynamics can in most cases be tied directly to the scientists who contributed to the ideas and advancements. Some of those people are identified here.