Session S03 - Geometric and Variational Methods in Celestial Mechanics

Wednesday, July 21, 18:45 ~ 19:10 UTC-3

Satellite-pair orbits in a Four-Body Problem

Lennard Bakker

Brigham Young University, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We consider a four-body planar problem in which two primaries move in uniform circular motion around their center of mass and, in the gravitational field generated by the two primaries, two bodies with positive but small masses (in comparison with the masses of the primaries) move and interact gravitationally with each other. We investigate through both numerical and analytical approaches the existence of satellite-pair orbits which is when one of the smaller mass bodies moves in a bounded motion about one of the primaries and the other smaller mass body moves in a bounded motion about the other primary.

Joint work with Nick Freeman (Brigham Young University).

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