Gravitation Maneuver Using the Families of Super-Unstable Orbits around the Libration Points

Details Gravitation Maneuver Using the Families of Super-Unstable Orbits around the Libration Points Gravitation Maneuver Using the Families of Super-Unstable Orbits around the Libration Points

Jan 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cosre..41...51k&link_type=abstract

Cosmic Research, v. 41, Issue 1, p. 51-62 (2003).

Physics

Scientific paper

The families of periodic solutions to an autonomous Hamiltonian system in that part where the solutions are unstable have their specific ``field of influence.'' Under strong instability, the orbits that have fallen in such a ``field of influence'' are drawn into the family as in a whirlpool and then are thrown away from it. In the particular case of the restricted three-body problem, the orbits around the libration points L1 and L2 are super-unstable and the Keplerian elements in motion over these orbits change drastically. When the orbits fall into such a domain, for some time the motion is close to the motion around the libration point, and after being thrown out of this domain, the Keplerian orbital elements also change essentially.

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