Numerical orbits near the triangular lunar libration points

Computer Science – Numerical Analysis

Scientific paper

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Celestial Mechanics, Earth-Moon System, Four Body Problem, Lagrangian Equilibrium Points, Libration, Orbit Calculation, Circular Orbits, Eccentric Orbits, Equations Of Motion, Numerical Analysis, Radiation Pressure, Solar Radiation

Scientific paper

The behavior of a test particle placed at a triangular libration point of the earth-moon system is calculated using Newton's equations for the four-body problem, with arbitrarily chosen initial conditions. If the orbits of the massive bodies have their real eccentricities, then the test particle leaves the vicinity of the libration point in three years, much faster than if the orbits were circular. Very small particles are affected by solar radiation pressure, and may leave even faster.

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