Lagrangian points in Mars-Phobos system

Authors: Askerova A.A., Stolbova V.A.
Published in issue: #10(27)/2018
DOI: 10.18698/2541-8009-2018-10-388
Category: Aviation and Rocket-Space Engineering | Chapter: Aircraft Dynamics, Ballistics, Motion Control
Keywords: libration points, three-body problem, gravitational interaction, gravitational astronomy, aerospace, Mars, stationary position, balance state
Published: 17.10.2018

The paper is devoted to identification of Lagrange points (libration points) as a particular solution of restricted three-body problem. In such a problem, mass of one of the bodies, composing the system, is negligible in comparison to the other two, while no forces other than gravitational forces are taken into account. Problem simulation is carried out with the use of the principles of classical mechanics. Location of these points in the Mars-Phobos system is analyzed and mathematically described. Proof of location of triangular libration points, taking into account the laws of gravitational interaction, is presented. Numerical values of coordinates of libration points for the considered system of bodies are found. Review of practical applications of this problem in aerospace research is performed.

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