Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Existence of conditionally periodic orbits for the motion of a satellite around the oblate earth


Author: Richard Barrar
Journal: Quart. Appl. Math. 24 (1966), 47-55
MSC: Primary 70.34
DOI: https://doi.org/10.1090/qam/198723
MathSciNet review: 198723
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Abstract: The author's previous results on the convergence of the Poincaré-von Zeipel procedure in celestial mechanics are applied to the problem of the motion of a satellite around the oblate earth. The investigation concerns a potential that can vary both longitudinally and latitudinally, and also includes behavior near the critical angle. The existence of conditionally periodic orbits in all these cases is established.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/198723
Article copyright: © Copyright 1966 American Mathematical Society


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