Stability of L4 and L5 against radiation pressure

Computer Science

Scientific paper

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Earth-Moon System, Equations Of Motion, Lagrangian Equilibrium Points, Radiation Pressure, Solar Radiation, Three Body Problem, Coriolis Effect, Librational Motion, Mass Ratios, Tides, Vibration Mode

Scientific paper

The restricted three-body problem is generalized with the inclusion of solar radiation pressure. For small particles (typically 1 micron to 1 mm) the familiar equilibrium triangular points L4 and L5 no longer exist. However, libration orbits are not completely destroyed, although an effect of resonance caused their amplitude to be very large, for a particle initially at rest at either of the triangular point. Finally, the results of a study of the linearized equations of motion, supplemented by a numerical integration, ruled out the possibility of an accumulation of dust at the earth-moon Lagrangian triangular points.

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