An algorithm for determining an optimal three-impulse point-to-orbit transfer with a restricted flight time

Physics

Scientific paper

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Flight Time, Gravitational Fields, Interplanetary Transfer Orbits, Spacecraft Maneuvers, Trajectory Optimization, Algorithms, Boundary Value Problems, Thrust Programming, Time Optimal Control

Scientific paper

The paper describes an algorithm for determining a class of fuel-optimal spacecraft transfers in a central Newtonian gravitational field with a restriction on the flight time. The algorithm relies on an indirect optimization method, based on the satisfaction of optimality conditions for a multiple-impulse maneuver. The determination of the unknown three-impulse trajectory is reduced to the solution of a one-parameter family of boundary value problems, with the initial approximation in the first problem being a known solution corresponding to the case of unconstrained flight time. The quantitative characteristics of the algorithm are examined.

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