Relativistic effects in the critical inclination problem in artificial satellite theory. (English) Zbl 0749.70013

Jupp, A. H.; Brumberg, V. A.

Celest. Mech. Dyn. Astron. 52, No. 4, 345-353 (1991).

Summary: It is well known that in artificial satellite theory special techniques must be employed to construct a formal solution whenever the orbital inclination is sufficiently close to the critical value \(\cos^{- 1}(1/\sqrt {5})\). In this article the authors investigate the consequences of introducing certain relativistic effects into the motion of a satellite about an oblate primary. Particular attention is paid to the critical inclination(s), and for such critical motions an appropriate method of solution is formulated.

MSC:

70H40	Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics
70M20	Orbital mechanics

Keywords:

orbital inclination

References:

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