Optimal trajectories in gravitational fields admitting approximation by the central linear field

Details Optimal trajectories in gravitational fields admitting approximation by the central linear field Optimal trajectories in gravitational fields admitting approximation by the central linear field

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991kosis..29..525a&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 29, July-Aug. 1991, p. 525-531. In Russian.

Physics

Gravitational Fields, Mayer Problem, Trajectory Optimization, Approximation, Critical Point, Hodographs, Mass Flow Rate

Scientific paper

It is demonstrated that, for motions allowing the approximation of the gravitational field by the central linear field, the equations of Mayer's variational problem for a point with a limited mass flow rate admit an analytical solution. The case when the ellipse is the hodograph of the basis vector corresponding to the alternation of the zero and maximum thrust sections is identified and analyzed.

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