Relativistic effects in the critical inclination problem in artificial satellite theory

Details Relativistic effects in the critical inclination problem in artificial satellite theory Relativistic effects in the critical inclination problem in artificial satellite theory

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..52..345j&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 52, no. 4, 1991, p. 345-353.

Astronomy and Astrophysics

Astronomy

Artificial Satellites, Kepler Laws, Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Relativistic Effects, Canonical Forms, Lie Groups, Schwarzschild Metric

Scientific paper

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 exp -1(1/sq rt 5). In this article, the consequences of introducing certain relativistic effects into the motion of a satellite about an oblate primary are investigated. Particular attention is paid to the critical inclination(s), and for such critical motions an appropriate method of solution is formulated.

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