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

Celestial Mechanics and Dynamical Astronomy, 52(4), 345-353 (1991)

**Keywords**:
Artificial satellite, relativity, critical inclination

### 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.