Estimate of optimality of one class of transfer trajectories between artificial earth satellite orbits and artificial moon satellite orbits

Physics

Scientific paper

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Earth-Moon Trajectories, Moon-Earth Trajectories, Orbital Velocity, Trajectory Optimization, Transfer Orbits, Command And Control, Optimal Control, Satellite Control, Satellite Orbits

Scientific paper

Transfer trajectories from artificial earth satellite orbits to artificial moon satellite orbits and vice versa, with minimum characteristic velocities, are discussed with the constraints of fixed transfer time, free orientation of the orbit planes for either type of satellite orbit, and a variation in power-on acceleration in the gravitational field of a nonspherical earth, the moon, and the sun. Minimum expenditures of the characteristic velocity in the orbit transfer are required. Deviations of the trajectory based on a prior command program from the absolute optimum trajectory are considered. Two-impulse transfers are found optimal.

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