Abstract
It is well known that in artifical 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/√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.
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Jupp, A.H., Brumberg, V.A. Relativistic effects in the critical inclination problem in artificial satellite theory. Celestial Mech Dyn Astr 52, 345–353 (1991). https://doi.org/10.1007/BF00048450
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DOI: https://doi.org/10.1007/BF00048450