Analytic construction of periodic orbits about the collinear points

Details Analytic construction of periodic orbits about the collinear points Analytic construction of periodic orbits about the collinear points

Oct 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..22..241r&link_type=abstract

Celestial Mechanics, vol. 22, Oct. 1980, p. 241-253.

Physics

17

International Sun Earth Explorer 3, Lagrangian Equilibrium Points, Orbit Calculation, Orbital Mechanics, Satellite Orbits, Collinearity, Equations Of Motion, Libration, Three Dimensional Motion

Scientific paper

A third-order analytical solution for halo-type periodic motion about the collinear points of the circular-restricted problem is presented. The three-dimensional equations of motion are obtained by a Lagrangian formulation. The solution is constructed using the method of successive approximations in conjunction with a technique similar to the Lindstedt-Poincare method. The theory is applied to the sun-earth system.

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