General time elements for the two body problem

Details General time elements for the two body problem General time elements for the two body problem

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cemec..17..137s&link_type=abstract

Celestial Mechanics, vol. 17, Feb. 1978, p. 137-144.

Physics

1

Orbit Calculation, Perturbation Theory, Satellite Orbits, Time Functions, Two Body Problem, Equations Of Motion, Hamiltonian Functions, Three Body Problem

Scientific paper

The paper carries further the idea of reducing numerical error propagation in satellite orbit calculations by introducing a new time variable s defined by dt/ds = the n-th power of the radial distance. In order to integrate the dt/ds equation, a new variable T is introduced related to t by t = F(T), where F is a known function, such that dT/ds = 1 + perturbation. The choice of the function F will depend on n. The new time element is calculated for n = 1, 3/2, 2, 5/2, and 3

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