Orbital and celestial mechanics

✍ Scribed by John P Vinti; Gim J Der; Nino L Bonavito

• Publisher: American Institute of Aeronautics and Astronautics
• Year: 1998
• Tongue: English
• Leaves: 415
• Series: Progress in astronautics and aeronautics, v. 177
• Category: Library

✦ Table of Contents

Content: Newton's Laws; The Two-Body Problem; Lagrangian Dynamics; The Hamiltonian Equations; Canonical Transformations; Hamilton-Jacobi Theory; Hamilton-Jacobi Perturbation Theory; The Vinti Spheroidal Method for Satellite Orbits and Ballistic Trajectories; Delaunay Variables; The Lagrange Planetary Equations; The Planetary Disturbing Function; Gaussian Variational Equations for the Jacobi Elements; Gaussian Variational Equations for the Keplerian Elements; Potential Theory; The Gravitational Potential for a Planet; Elementary Theory of Satellite Orbits with Use of the Mean Anomaly; Elementary Theory of Satellite Orbits with Use of the True Anomaly; The Effects of Drag on Satellite Orbits; The Brouwer-von Zeipel Method 1; The Brouwer-von Zeipel Method 2; Lagrange and Poisson Brackets; Lie Series; Perturbations by Lie Series; The General Three-Body Problem; The Restricted Three-Body Problem; Staeckel Systems. Appendices: Coordinate System and Coordinate Transformations; Vinti Spheroidal Method Computational Procedure and Trajectory Propagators; Examples; How to Use the Vinti Routines.