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Second-order matching in the restricted three-body problem (smallμ) (1974)

Breakwell, J. V. ; Perko, L. M.

Springer

Celestial mechanics and dynamical astronomy 9 (1974), S. 437-450

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ISSN: 1572-9478

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01329325

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