Exact analytic solution of space relative motion equation
Abstract
An exact analytical solution to the space relative motion equation is obtained with a formulation in terms of the orbital coordinates and the Hill canonical variables. The model is extended to define and prove a theorem for gravitationally perturbed basic and relative motion. The model is considered valid for solving problems of parabolic and hyperbolic motion of a satellite relative to a space station.
- Publication:
-
Stockholm International Astronautical Federation Congress
- Pub Date:
- October 1985
- Bibcode:
- 1985stoc.iafcR....W
- Keywords:
-
- Astrodynamics;
- Equations Of Motion;
- Perturbation Theory;
- Spacecraft Motion;
- Canonical Forms;
- Dynamic Characteristics;
- Gravitational Effects;
- Orbital Elements;
- Space Stations;
- Theorem Proving;
- Astrodynamics