A comparative analysis of three-impulse trajectories optimal with constraints on the transfer time and their maximum distance from the planet

Computer Science

Scientific paper

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Gravitational Fields, Interplanetary Spacecraft, Planetary Orbits, Spacecraft Trajectories, Trajectory Optimization, Distance, Elliptical Orbits, Newtonian Fluids, Radial Velocity, Transit Time

Scientific paper

A study of energy-optimized multi-impulse spacecraft transfers in a Newtonian gravitational field is presented. The initial condition is prescribed by the location of the radial and transverse velocity components, and the transfer is accomplished in an elliptical orbit with prescribed pericentric and apocentric distances; transfer time is limited. The initial parameters are examined which result in a three-impulse optimum trajectory when constraints on the maximum distance of the spacecraft from the planet and unrestricted transfer time are present. The analytically determinable trajectories, optimized with constraints on the maximum distance from the planet, are good initial approximations for the numerical determinations of trajectories.

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