About the stability critical case of the movement around the equilateral points of libration belonging to the earth-moon system. I

Details About the stability critical case of the movement around the equilateral points of libration belonging to the earth-moon system. I About the stability critical case of the movement around the equilateral points of libration belonging to the earth-moon system. I

Dec 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981rvrst..26..805p&link_type=abstract

Revue Roumaine des Sciences Techniques, Serie de Mecanique Appliquee, vol. 26, Nov.-Dec. 1981, p. 805-821.

Physics

Earth-Moon System, Librational Motion, Motion Stability, Orbital Mechanics, Three Body Problem, Equations Of Motion, Lagrange Coordinates, Nonlinear Equations

Scientific paper

The study of motion stability around the libration points L4 and L5 in the earth-moon system cannot be undertaken by the method of Breakwell and Pringle (1966), which assume a mu value smaller than 0.0121. The present study employs Malkin's (1952) theory for the critical cases of stability, reverting to the analysis of a system of differential equations having constant coefficients and involving nonlinear terms of the 3rd order.

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