Article ID Journal Published Year Pages File Type
1717136 Acta Astronautica 2007 18 Pages PDF
Abstract

This paper develops generalized analytic solutions of relative spacecraft dynamics in the presence of arbitrary perturbations and presents new perturbation-invariant relative orbits. The extension of existing results is achieved by using non-osculating orbital elements, i.e. removing the constraint that the instantaneous velocity vector be tangential to an instantaneous Keplerian ellipse. Generalized planetary equations are developed and averaged to yield a non-osculating description of the long-term effects of first-order small perturbations. The generalized planetary equations are linearized, and expressions for the relative dynamics are presented in terms of non-osculating classical orbital element differences. The developed methodology is utilized to find previously undetected J2J2-invariant relative orbits.

Related Topics
Physical Sciences and Engineering Engineering Aerospace Engineering
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