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摘要
Finding satellite relative orbits that are resilient to differential gravitational perturbations has received much attention in the literature. In particular, detecting "invariant" relative orbits under the J(2) perturbation was considered a solved problem. These "invariance" conditions result in constraints on the differential mean semimajor axis, inclination, and eccentricity. In this paper, it is shown that alternative conditions can be used to further reduce the drift among J(2)-perturbed satellites. These alternative conditions are found by investigating the secular part of the averaged intersatellite distance. Averaging is performed with respect to the mean anomaly and argument of perigee. A closed-form expression for the first-order J(2)-perturbed mean distance is obtained. It is found that the mean relative distance squared drifts as a quadratic function of time. Four conditions for mean-distance boundedness are derived. Using simulations, it is shown that the new conditions can improve previously obtained results, in the sense of reducing the residual intersatellite distance drift.
- 出版日期2018-10
- 单位哈尔滨工业大学
