A note on a Lagrangian formulation for motion about the collinear points

Details A note on a Lagrangian formulation for motion about the collinear points A note on a Lagrangian formulation for motion about the collinear points

Oct 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..22..231r&link_type=abstract

Celestial Mechanics, vol. 22, Oct. 1980, p. 231-236.

Computer Science

7

Collinearity, International Sun Earth Explorer 3, Lagrangian Equilibrium Points, Orbital Mechanics, Equations Of Motion, Three Body Problem

Scientific paper

A Lagrangian formulation for the three-dimensional motion of a satellite in the vicinity of the collinear points of the circular-restricted problem is reconsidered. It is shown that the influence of the primaries can be expressed in the form of two third-body disturbing functions. By use of this approach, the equations for the Lagrangian and for the motion itself are readily developed into highly compact expressions. All orders of the non-linear developments are shown to be easily obtainable using well-known recursive relationships. The resulting forms for these equations are well suited for use in the initial phase of canonical or non-canonical investigations.

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