Universal formulation of quasi-Keplerian motion, and its applications

Details Universal formulation of quasi-Keplerian motion, and its applications Universal formulation of quasi-Keplerian motion, and its applications

Oct 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009newa...14..607h&link_type=abstract

New Astronomy, Volume 14, Issue 7, p. 607-614.

Astronomy and Astrophysics

Astronomy

Satellite Orbits, Celestial Mechanics, Nonlinear Dynamics And Chaos, Numerical Simulation, Solution Of Equations

Scientific paper

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.

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