Second species periodic solutions with an 0/mu/ near-moon passage

Details Second species periodic solutions with an 0/mu/ near-moon passage Second species periodic solutions with an 0/mu/ near-moon passage

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14..395p&link_type=abstract

Celestial Mechanics, vol. 14, Dec. 1976, p. 395-427. Research supported by the Northern Arizona University

Physics

7

Asymptotic Methods, Celestial Mechanics, Lunar Gravitational Effects, Three Body Problem, Ellipses, Existence Theorems, Graphs (Charts), Matching

Scientific paper

This paper uses the results of second-order asymptotic matching in the restricted three-body problem to establish the existence and first-order asymptotic approximation of various families of second-species periodic solutions with one near-moon passage during a half-period. In this way, the existence and asymptotic approximation of second-species solutions with any number of near-moon passages during a half-period can be established, based on higher-order asymptotic matching. Second-species solutions with near-moon passages have not been studied numerically due to the difficult nature of this problem.

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