Second-order matching in the restricted three-body problem (smallμ)

Details Second-order matching in the restricted three-body problem (smallμ) Second-order matching in the restricted three-body problem (smallμ)

Jul 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec...9..437b&link_type=abstract

Celestial Mechanics, Volume 9, Issue 4, pp.437-450

Physics

7

Scientific paper

Elliptic orbits around the large primary are matched to hyperbolas, osculating at closest approach, around the small primary of the circular restricted three-body problem. The distance of closest approach to the small primary is assumed to be of the same order as the mass-ratio μ of small to large primary. The dependence of the hyperbola on initial conditions for the elliptic orbit is carried to second order jointly in μ and in the variations of the initial conditions, which are three-dimensional rather than two-dimensional.

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