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COBEM 2017
24th ABCM International Congress of Mechanical Engineering
EQUILIBRIUM POINTS AROUND A DOUBLE ROTATING MASS DIPOLE
Submission Author:
Leonardo Santos , SP
Co-Authors:
Leonardo Santos, Antonio Fernando Bertachini A. Prado, Diogo Merguizo Sanchez
Presenter: Leonardo Santos
doi://10.26678/ABCM.COBEM2017.COB17-1362
Abstract
The objective of the present work is to determine the equilibrium points and to perform an analysis of zero velocity curves in the Modified Restricted Synchronous Three-Body Problem. To perform this task, it is necessary to obtain the equations of motion, in a rotating reference frame, of a spacecraft with negligible mass that orbit around a system constituted of two massive bodies. The two massive bodies are assumed to have irregular shaped b odies and weremodeled as a rotating mass dipole. The exact positions of the equilibrium points are obtained and also the values of the Jacobi constant necessary to emerge each equilibrium point. We analyzed how the position of the collinear equilibrium points vary when we modify the size and mass ratio of the two primary bodies.
Keywords
Equilibrium points, Zero velocity curves, Modified Restricted Synchronous Three-Body Problem
