Extension of fast periodic transfer orbits from the Earth Moon RTBP to the Sun Earth Moon Quasi-Bicircular Problem

Details Extension of fast periodic transfer orbits from the Earth Moon RTBP to the Sun Earth Moon Quasi-Bicircular Problem Extension of fast periodic transfer orbits from the Earth Moon RTBP to the Sun Earth Moon Quasi-Bicircular Problem

Jul 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cemda.101..225l&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 101, Issue 3, pp.225-245

Astronomy and Astrophysics

Astronomy

3

Earth&Ndash, Moon Transfer Orbits, Periodic Orbits, Fast Transfer, Low Energy, Quasi-Bicircular Problem, Periodic Orbit Continuation

Scientific paper

Starting from 80 families of low-energy fast periodic transfer orbits in the Earth Moon planar circular Restricted Three Body Problem (RTBP), we obtain by analytical continuation 11 periodic orbits and 25 periodic arcs with similar properties in the Sun Earth Moon Quasi-Bicircular Problem (QBCP). A novel and very simple procedure is introduced giving the solar phases at which to attempt continuation. Detailed numerical results for each periodic orbit and arc found are given, including their stability parameters and minimal distances to the Earth and Moon. The periods of these orbits are between 2.5 and 5 synodic months, their energies are among the lowest possible to achieve an Earth Moon transfer, and they show a diversity of circumlunar trajectories, making them good candidates for missions requiring repeated passages around the Earth and the Moon with close approaches to the last.

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