Paper presents rational solution of rendezvous between spacecraft propelled by engines and unpropelled target moving in plane elliptic orbit of arbitrary eccentricity; thrust magnitude of engines is restricted; relative motion of bodies is described by sixth-order set of differential equations with periodical coefficients whereby eccentric anomaly of target is used as independent variable; this set divides into fourth-order plane subset and second-order out-of-plane subset; plane subset is solved by means of elementary functions; solutions obtained afford easy quadratures and lead to determination of optimal acceleration programs minimizing mass consumption of maneuver.
Elliptic orbit rendezvous
AIAA J
AIAA Journal ; 5 , n 6
1967
4 pages
Article (Journal)
English
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