Mathematics
Scientific paper
Dec 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991esasp.326...35g&link_type=abstract
In ESA, Spacecraft Flight Dynamics p 35-41 (SEE N92-24719 15-12)
Mathematics
1
Lagrangian Equilibrium Points, Moon-Earth Trajectories, Orbit Perturbation, Orbital Mechanics, Periodic Variations, Three Body Problem, Algebra, Equations Of Motion, Kepler Laws, Mathematical Models, Stability
Scientific paper
The Earth-Moon-particle system is considered as a Restricted Three Body Problem (RTBP). It is well known that there are two equilateral libration points. In the real life system, these points do not exist, due to the effects of the perturbations caused by the part of the solar system which is not taken into account. Assuming that the real motion of the solar system is quasiperiodic, it is possible to write the full problem as a quasiperiodic time dependent perturbation of the RTBP. A quasiperiodic with the same basic frequencies as the perturbation, and such that it goes to zero when the perturbation does, is then looked for. This orbit can be seen as a dynamical equivalent of the point. This orbit is computed for a simplfied model of the kind described before, and refined to be a numerical solution of the best available model. The stability of this orbit is studied, showing a very mild unstability.
Gómez Gerard
Jorba Angel
Masdemont Josep J.
Simó Carles
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