Generalized transfers and the nonoptimality of purely radial impulses
Abstract
A system of variables is proposed that is convenient for the precise formulation of the problem of optimal multipleimpulse transfer between arbitrary nonrectilinear Kepler orbits. The existence of a universal twoimpulse transfer with transverse impulses is demonstrated for such orbits. Calculation formulas for these impulses are obtained which generalize the corresponding formulas of twoimpulse Hohmann transfer between circular orbits. In addition, a lowerbound estimate is obtained for the characteristic velocity of a oneimpulse transfer between orbits having a common point, and the nonoptimality of an arbitrary radial impulse is demonstrated.
 Publication:

Kosmicheskie Issledovaniia
 Pub Date:
 July 1985
 Bibcode:
 1985KosIs..23..579L
 Keywords:

 Astrodynamics;
 Elliptical Orbits;
 Kepler Laws;
 Thrust Programming;
 Trajectory Optimization;
 Transfer Orbits;
 Circular Orbits;
 Existence Theorems;
 Extremum Values;
 Impulses;
 Optimal Control;
 Orbit Calculation;
 Radial Velocity;
 Astrodynamics