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Zbl 0892.00015
Battin, Richard H.
An introduction to the mathematics and methods of astrodynamics. With a foreword by J. S. Przemieniecki. (English)
[B] AIAA Education Series. New York, NY: American Institute of Aeronautics and Astronautics (AIAA). xxxii, 796 p. \$ 62.95 (1987). ISBN 0-930403-25-8/hbk

Publisher's description: This comprehensive text documents the fundamental theoretical developments in astrodynamics and space navigation that led to human ventures into space. It includes the essential elements of celestial mechanics, spacecraft trajectories, and space navigation, as well as the history of the underlying mathematical developments.\par The material presented in the text represents a 25-year evolution in course material developed by the author. Former students who benefited from this material include three of the astronauts who walked on the moon. The text format offers flexibility for the user. Chapters are largely independent of each other and may be read or taught in any order, offering the opportunity to organize an undergraduate or graduate course that meets the needs of students having various levels of background and preparation. Further, the book covers more subject matter than is covered in a single course of instruction, thereby motivating students to stray from the beaten path of the classroom.\par Contents: Some basic topics in analytical dynamics; The problem of two bodies; Two-body orbital boundary-value problem; Solving Lambert's problem; Appendices; Non-Keplerian motion; Patched-conic orbits and perturbation methods; Variation of parameters; Two-body orbital transfer; Numerical integration of differential equations; The celestial position fix; Space navigation; Appendices.\par The book contains some 440 problems to be solved by the reader, and answers are given for most of these.

MSC 2000:: *00A79 Physics
70-01 Textbooks (mechanics of particles and systems)
70F15 Celestial mechanics

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