Analysis of Spacecraft Relative Motion and Applicability of Hill's Solution
2002, 22 (02):
One of the most fundamental problems on spacecraft formation flying, i. e., the analytic solution of spacecraft relative motion and applicability of Hill's equation is proposed in detail. By using necessary geometry mapping, general expression is built up, and then the relative motions under different initial conditions are so comprehensively characterized that the applicability condition of Hill's approximation is obtained. Furthermore, a new simplified formula for formation design is provided in low elliptic orbits.
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