An introduction to the mathematics and methods of astrodynamics
Abstract
The fundamental mathematical principles of celestial mechanics and space navigation are presented in an introduction for students of aerospace engineering and science. Chapters are devoted to hypergeometric functions and elliptic integrals, basic topics in analytical dynamics, the two-body problem, two-body orbits and the initial-value problem, solving the Kepler equation, the two-body orbital boundary-value problem, and solving Lambert's problem. Also examined are 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, and space navigation. Diagrams, graphs, and sample problems are provided.
- Publication:
-
New York
- Pub Date:
- 1987
- Bibcode:
- 1987aiaa.rept.....B
- Keywords:
-
- Analysis (Mathematics);
- Applications Of Mathematics;
- Astrodynamics;
- Mathematical Models;
- Orbit Calculation;
- Bessel Functions;
- Elliptic Functions;
- Equations Of Motion;
- Gauss Equation;
- Hodographs;
- Hypergeometric Functions;
- Interpolation;
- Kepler Laws;
- Many Body Problem;
- Matrices (Mathematics);
- Orbital Mechanics;
- Space Navigation;
- Transfer Functions;
- Transfer Orbits;
- Two Body Problem;
- Astrodynamics