Generalized transfers and the nonoptimality of purely radial impulses

Details Generalized transfers and the nonoptimality of purely radial impulses Generalized transfers and the nonoptimality of purely radial impulses

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985kosis..23..579l&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 23, July-Aug. 1985, p. 579-586. In Russian.

Astronomy and Astrophysics

Astronomy

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

Scientific paper

A system of variables is proposed that is convenient for the precise formulation of the problem of optimal multiple-impulse transfer between arbitrary nonrectilinear Kepler orbits. The existence of a universal two-impulse transfer with transverse impulses is demonstrated for such orbits. Calculation formulas for these impulses are obtained which generalize the corresponding formulas of two-impulse Hohmann transfer between circular orbits. In addition, a lower-bound estimate is obtained for the characteristic velocity of a one-impulse transfer between orbits having a common point, and the nonoptimality of an arbitrary radial impulse is demonstrated.

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