| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1779786 | New Astronomy | 2009 | 8 Pages |
Abstract
We derive the universal solution to the Kepler-Coulomb problem with an additional inverse-square potential, valid for any type of orbit, and describe three prominent applications in astrodynamics: the relativistic precession of the apsides, the numerical integration of perturbed Kepler-Coulomb problems with a generalized leapfrog, and the averaged motion of earth-orbiting satellites with the J2 perturbation. The modified orbital elements and Delaunay variables are presented as well.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Astronomy and Astrophysics
Authors
Christian Hellström, Seppo Mikkola,