Optimal control during the active segment of spacecraft landing on an atmosphereless planet

Physics

Scientific paper

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Aircraft Maneuvers, Optimal Control, Planetary Landing, Trajectory Optimization, Differential Equations, Equations Of Motion, Trajectory Analysis

Scientific paper

A nonlinear transformation approach in the Euler-Lagrange variational framework is used to determine the fuel-optimal trajectory during the active descent stage of a spacecraft landing on an atmosphereless planet. Conditions of optimal thrust vector control are established; an approximate solution of the nonlinear equations of motion makes it possible to determine conditions under which mass changes are independent of thrust vector angle deviations.

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