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Parametric dependence of the stationary solutions in the restricted 2 + 2 body problem
Authors:TJ Kalvouridis
Institution:(1) Dept. of Engineering Science, Section of Mechanics, National Technical University of Athens, 5 Heroes of Polytechnion Ave., Gr- 15773 Athens, Greece
Abstract:The restricted gravitational 2 + 2 body problem, is a particular case of the N body problem and it may be used to approximate the dynamical behaviour of binary asteroids or dual sattelites moving in the gravitational field of two primaries Pi, i = 1,2. By considering oblate primaries, five parameters are needed to describe the model, namely the reduced mass μ of the primary P2, the reduced masses μ1 and μ2 of the minor bodies and the oblatenesses Ii, i = 1,2 of the primaries. This work deals with the effect of those parameters on the location of the stationary solutions. This revised version was published online in July 2006 with corrections to the Cover Date.
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