Asymptotic solution for the two-body problem with constant tangential thrust acceleration

Details Asymptotic solution for the two-body problem with constant tangential thrust acceleration Asymptotic solution for the two-body problem with constant tangential thrust acceleration

Jul 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011cemda.110..239b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 110, Issue 3, pp.239-256

Astronomy and Astrophysics

Astronomy

Two Body Problem, Tangential Thrust, Asymptotic Expansion, Orbit Transfer

Scientific paper

An analytical solution of the two body problem perturbed by a constant tangential acceleration is derived with the aid of perturbation theory. The solution, which is valid for circular and elliptic orbits with generic eccentricity, describes the instantaneous time variation of all orbital elements. A comparison with high-accuracy numerical results shows that the analytical method can be effectively applied to multiple-revolution low-thrust orbit transfer around planets and in interplanetary space with negligible error.

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