Three-dimensional regions of stability about the triangular equilibrium points

Computer Science

Scientific paper

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Celestial Mechanics, Three Body Problem, Jacobi Integral, Lagrangian Equilibrium Points, Motion Stability

Scientific paper

Within the context of the restricted problem of three bodies, an analytic upper bound on the three-dimensional regions of stability about the triangular equilibrium points is derived for general initial velocity limits and a wide class of bounding regions. This upper bound is illustrated and compared to numerical investigations for two bounding regions using the Earth-Moon mass ratio.

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