The paper presents the exact solution to the relative orbital motion that takes place in a central force field. This problem is a generalization of the problem of the Keplerian relative motion in a central force field. The solution is presented in a coordinate free vectorial form, offering closed form expressions for the law of motion and the velocity. The solution is offered to the non-linear model of the relative motion problem, and it generalizes the solutions found by Clohessy-Wiltshire, Lawden and Tschauner-Hempel for the case of the Keplerian relative motion. The applications of this problem are in satellite formation flying, satellite constellations and orbital rendezvous.
Exact solution to the relative orbital motion in a central force field
2008-12-01
585380 byte
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
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