Optimization of closed low-thrust Earth-Mars-Earth flights.

Statistics – Computation

Scientific paper

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Space Missions: Mars, Space Missions: Orbits

Scientific paper

The problem of optimization of the trajectory and ballistic parameters of a low-thrust interplanetary Earth-Mars-Earth flight is formulated. A methodical approach to solve the optimization problem under constraints on the spacecraft launching mass, flight duration, and minimal heliocentric distance is proposed. The algorithm considered is based on a combination of the Pontryagin maximum principle and mathematical programming methods. For computation of the heliocentric stages of flight, approximate analytical relationships obtained from the results of the solution of a set of variation problems are used. For a closed flight, rational ballistic schemes that satisfy the totality of constraints are selected.

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