Traveling between the Lagrangian points and the Earth

Details Traveling between the Lagrangian points and the Earth Traveling between the Lagrangian points and the Earth

Nov 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994stin...9616828a&link_type=abstract

Presented at the International Symposium on Space Flight Dynamics, St. Petersburg-Moscow, Russia, 22-28 May 1994

Mathematics

Earth-Moon System, Earth-Moon Trajectories, Orbital Mechanics, Spacecraft Trajectories, Three Body Problem, Transfer Orbits, Equations Of Motion, Singularity (Mathematics), Trajectory Optimization

Scientific paper

This paper is concerned with trajectories to transfer a spacecraft between the Lagrangian points and the Earth. The Lagrangian points have important applications in astronautics, since they are equilibrium points of the equation of motion and very good candidates to locate a satellite or a space station. The planar circular restricted three-body problem in two dimensions is used as the model for the Earth-Moon system, and Lamaitre regularization is used to avoid singularities during the numerical integration required to solve the Lambert's three-body problem. Relations with previous results are shown, specially with: (1) transfers between the Lagrangian points and the Moon, (2) search for the absolute minimum delta V transfer between the Earth and the Moon, and (3) use of L(sub 1), as a node for lunar exploration.

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