Abstract
Closed-form solutions of optimal impulsive rendezvous problems are difficult to obtain, even using linearized equations. An idealized model of a highly eccentric hyperbolic impulsive rendezvous problem is constructed by considering the limit as the eccentricity tends to infinity. In this manner, a closed- form solution of an idealized hyperbolic rendezvous problem can be obtained. This idealized solution establishes an arbitrarily good approximation to a solution of the problem of optimal impulsive rendezvous of a spacecraft near a satellite in hyperbolic orbit of sufficiently high eccentricity.
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Carter, T.E. Closed-form solution of an idealized, optimal, highly eccentric hyperbolic rendezvous problem. Dynamics and Control 6, 293–307 (1996). https://doi.org/10.1007/BF02169490
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DOI: https://doi.org/10.1007/BF02169490