Optimal trajectories of motion of landing satellites with two-dimensional control in the Martian atmosphere

Details Optimal trajectories of motion of landing satellites with two-dimensional control in the Martian atmosphere Optimal trajectories of motion of landing satellites with two-dimensional control in the Martian atmosphere

Nov 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976kosis..14..936s&link_type=abstract

Kosmicheskie Issledovaniia, vol. 14, Nov.-Dec. 1976, p. 936-943. In Russian.

Physics

Mars Atmosphere, Mars Landing, Spacecraft Control, Terminal Velocity, Trajectory Optimization, Angle Of Attack, Boundary Value Problems, Calculus Of Variations, Lift Drag Ratio, Maximum Principle, Optimal Control

Scientific paper

The variational problem of minimum terminal velocity for a spacecraft descending in the Martian atmosphere is considered. The craft is assumed to have a lift-drag ratio of less than 0.9 and is controlled with respect to angle of attack and bank. The solution is sought with the aid of maximum-principle type necessary conditions. The corresponding boundary value problem is also solved. Possible rational controls on the segment where the first-order maximum principle does not hold are considered.

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