Abstract
This paper uses Guillaume's extension of the Breakwell-Perko matching theory for the restricted three-body problem with small mass ratio μ>0 to establish the existence and asymptotic approximation of one-parameter families of second species periodic solutions with one near-moon passage of\(0(\mu ^v ),\tfrac{1}{3}< v< 1\), during a half-period. The deflection angle at such a near moon passage, β0(μ1−v), approaches zero as the mass ratio μ approaches zero.
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References
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This work was supported by the National Science Foundation under Grant GP42739.
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Perko, L.M. Second species solutions with an 0(μν), 1/3<ν<1, near-moon passage. Celestial Mechanics 16, 275–290 (1977). https://doi.org/10.1007/BF01232655
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DOI: https://doi.org/10.1007/BF01232655