Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989acaau..19..933f&link_type=abstract
Acta Astronautica (ISSN 0094-5765), vol. 19, Dec. 1989, p. 933-938.
Astronomy and Astrophysics
Astronomy
Low Thrust, Oblate Spheroids, Spacecraft Orbits, Trajectory Optimization, Transfer Orbits, Astrodynamics, Circular Orbits, Maximum Principle, Orbital Maneuvers, Pontryagin Principle, Stationkeeping
Scientific paper
The problem of optimal low-thrust, limited power transfer between quasi-circular orbits around an oblate planet is analyzed. It is assumed that the orbital changes due to thrust acceleration and earth oblateness are of the same order. A first order solution to the problem is obtained by application of Pontriagin's Maximum Principle. Subsequently, by application of Hori's method for generalized canonical systems, a first order solution in a small parameter epsilon is derived. Finally, three particular cases of long-time transfer and the orbit maintenance maneuver are considered. The results obtained are in agreement and represent an extension of the work done by Marec (1965, 1967).
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