Mathematical Introduction to Celestial Mechanics
This book presents the basic mathematics underlying the subject of Celestial Mechanics. Keyed to an audience with an interest in mathematics, the book includes four major topics. Chapter 1, The Central Force Problem, deals with Keplers first and second laws, orbits under nonNewtonian attraction, elements of an orbit, the twobody system, the solar system, and disturbed motion. Chapter 2 introduces the nbody problem and includes the LagrangeJacobi formula, Sundmans theorem on total collapse, the threebody problem, and Lagrange solutions and Eulers solution. Chapter 3, Introduction to HamiltonJacobi Theory is deliberately independent of Chapter 4, Perturbation Theory.
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Description
This book presents the basic mathematics underlying the subject of Celestial Mechanics. Keyed to an audience with an interest in mathematics, the book includes four major topics. Chapter 1, The Central Force Problem, deals with Keplers first and second laws, orbits under nonNewtonian attraction, elements of an orbit, the twobody system, the solar system, and disturbed motion. Chapter 2 introduces the nbody problem and includes the LagrangeJacobi formula, Sundmans theorem on total collapse, the threebody problem, and Lagrange solutions and Eulers solution. Chapter 3, Introduction to HamiltonJacobi Theory is deliberately independent of Chapter 4, Perturbation Theory.
