The restricted 3-body problem with radiation pressure

Details The restricted 3-body problem with radiation pressure The restricted 3-body problem with radiation pressure

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..35..145s&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 35, Feb. 1985, p. 145-187. Research supported by the Science Research Council of Engl

Computer Science

63

Celestial Mechanics, Lagrangian Equilibrium Points, Radiation Pressure, Three Body Problem, Existence Theorems, Numerical Stability

Scientific paper

The restricted 3-body problem is generalised to include the effects of an inverse square distance radiation pressure force on the infinitesimal mass due to the large masses, which are both arbitrarily luminous. A complete solution of the problems of existence and linear stability of the equilibrium points is given for all values of radiation pressure of both luminous bodies, and all values of mass ratios. It is shown that the inner Lagrange point, L1, can be stable, but only when both large masses are luminous. Four equilibrium points, L6, L7, L8, and L9 can exist out of the orbital plane when the radiation pressure of the smaller mass is very high. Although L8 and L9 are always linearly unstable, L6 and L7 are stable for a small range of radiation pressures provided that both large masses are luminous.

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