Linearization and regularization of the equations of Keplerian motion using integrals
Abstract
A method for transforming the Newtonian differential equations of motion of the two-body problem into linear and regular ones is presented. All the independent integrals of motion are used together with transformations of time and coordinates. The required differential equations describe the motion in a three-dimensional parametric space. The results are discussed for both unperturbed, and perturbed Keplerian motion.
- Publication:
-
Astronomicheskii Zhurnal
- Pub Date:
- February 1991
- Bibcode:
- 1991AZh....68..197S
- Keywords:
-
- Celestial Mechanics;
- Equations Of Motion;
- Kepler Laws;
- Linearization;
- Two Body Problem;
- Coordinate Transformations;
- Differential Equations;
- Integral Equations;
- Astrophysics