Second-order matching in the restricted three-body problem (smallμ)
Tóm tắt
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.
Tài liệu tham khảo
Breakwell, J. V. and Perko, L. M.: 1965,Proceedings ofXVI I.A.F. Congress, Athens, Greece 1966,Progress in Astronautics 17.
Lagerstrom, P. A. and Kevorkian, J.: 1963,Journal de Mécanique 2, No. 2.
Lancaster, J. E.: 1972,Suppl. Final Report, Contract NAS 9-10526, McDonnell Douglas Astronautics Company.
Lancaster, J. E. and Allemann, R. A.: 1972,A.I.A.A. Paper #72-49, 10th Aerospace Sciences Meeting, San Diego, California.
Perko, L. M.: 1967,SIAM J. Appl. Math. 15, No. 3.