Asymptotic solution for the two-body problem with constant tangential thrust acceleration
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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.
KeywordsTwo body problem Tangential thrust Asymptotic expansion Orbit transfer
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- Battin R.: An introduction to the mathematics and methods of astrodynamics. AIAA Education Series. American Institute of Aeronautics and Astronautics Inc., New York (1999)Google Scholar
- Benney D.: Escape from a circular orbit using tangential thrust. Jet Propul. 28(3), 167–169 (1958)Google Scholar
- Kemble S.: Interplanetary mission analysis and design. Springer, Berlin (2006)Google Scholar
- Kevorkian J., Cole J., John F.: Perturbation Methods in Applied Mathematics, vol. 34. Springer, New York (1981)Google Scholar