Flight trajectories with maximum tangential thrust in a central Newtonian field

Details Flight trajectories with maximum tangential thrust in a central Newtonian field Flight trajectories with maximum tangential thrust in a central Newtonian field

Jul 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983kosis..21..638a&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 21, July-Aug. 1983, p. 638-642. In Russian.

Physics

Flight Paths, Thrust Augmentation, Trajectory Optimization, Differential Equations, Gravitational Fields, Spacecraft Trajectories, Variational Principles

Scientific paper

The paper examines the two-dimensional problem of determining the optimal trajectories of a point moving with a limited per-second mass consumption in a central Newtonian field. It is shown that one of the cases in which the variational equations in the Meier formulation can be integrated in quadratures is motion with maximum tangential thrust. Trajectories corresponding to this motion are determined. By way of application, attention is given to the problem of determining the thrust which assures maximum kinetic energy for the point at the moment t = t1, corresponding to the mass consumption M0 - M1, where M0 and M1 are, respectively, the initial and final mass.

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