Astronomy and Astrophysics – Astrophysics
Scientific paper
May 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.333...79d&link_type=abstract
Astrophysics and Space Science, Volume 333, Issue 1, pp.79-87
Astronomy and Astrophysics
Astrophysics
Restricted Problem, Prolate-Radiating Primaries, Equilibrium Points, Stability
Scientific paper
Paper presents a complete discussion of the existence, location and stability of the equilibrium points of the coplanar restricted three-body problem with equal prolate and radiating primaries. Depending on the values of the radiation and negative oblateness parameters, two or four additional collinear equilibrium points exist, in addition to the three Eulerian points of the classical case, making up a total of up to seven collinear points. Four of these additional points, as well as the classical central equilibrium point located at the origin, are stable for certain ranges of the parameters. Also, depending on the values of the parameters, up to six additional non-collinear equilibrium points exist, in addition to the triangular Lagrangian points of the classical case. Two of these additional points are located symmetrically above and below the origin and are stable, while the other four are located symmetrically in the four quadrants and are unstable.
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