Minimum fuel trajectories for low-thrust power-limited spacecraft

Physics

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Orbit Calculation, Perturbation, Power Limited Spacecraft, Spacecraft Trajectories, Trajectory Analysis, Trajectory Optimization, Earth Gravitation, Gravitational Fields, Iterative Solution, Moon, Thrust, Transfer Orbits

Scientific paper

Minimum fuel trajectories for low-thrust power-limited spacecraft are investigated. The Pole Squatter mission involves an orbit transfer in Earth's gravity field. Edelbaum's orbit averaging method is used and Marec's analytical solution for the co-latus rectum transfer, as well as the numerically obtained globally optimal transfer are studied. In a mission to Lagrange points L(sub 4) and L(sub 5) Moon's perturbations must be considered. A numerical iterative procedure is started using an analytical approximation for a nearly circular spiral. Optimal Earth-Moon transfer is obtained by patching Earth and Moon spirals on the sphere of influence. The solution of the previous problem serves as a starting point for the iterative procedure. Typical results for the trajectories and for the thrust acceleration variations during the transfer are shown.

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