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Second species solutions with an 0(μv), 0<v<1, near-Moon passage

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Abstract

This paper illustrates the application of the theory for second species solutions with an 0(μv), 0<v<1, near-Moon passage to first species-second species bifurcations and to second species-second species bifurcations. It also corrects and improves the asymptotic approximations obtained in the author's previous work on this subject and it establishes a local form of Broucke's Principle for the types of bifurcations studied in this paper.

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Authors and Affiliations

  1. Department of Mathematics, Northern Arizona University, 86011, Flagstaff, AZ, USA

    L. M. Perko

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  1. L. M. Perko
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Additional information

This work was supported by the National Science Foundation under Grant MCS 7703591.

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Perko, L.M. Second species solutions with an 0(μv), 0<v<1, near-Moon passage. Celestial Mechanics 24, 155–171 (1981). https://doi.org/10.1007/BF01229193

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  • DOI: https://doi.org/10.1007/BF01229193

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