Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Close-in orbits in the restricted problem of three bodies

Author: Richard B. Barrar
Journal: Quart. Appl. Math. 27 (1969), 396-398
MSC: Primary 85.34
DOI: https://doi.org/10.1090/qam/255225
MathSciNet review: 255225
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Abstract: Utilizing a transformation due to Birkhoff [3], we establish for the restricted problem of three bodies the existence of conditionally periodic orbits that move in a small neighborhood of one of the primaries. These orbits result from perturbation of elliptic orbits and are valid for all mass ratios of the two primaries.

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DOI: https://doi.org/10.1090/qam/255225
Article copyright: © Copyright 1969 American Mathematical Society

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