Series for the coordinates of rectilinear libration points in the restricted three-body problem

Details Series for the coordinates of rectilinear libration points in the restricted three-body problem Series for the coordinates of rectilinear libration points in the restricted three-body problem

Aug 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983azh....60..763e&link_type=abstract

(Astronomicheskii Zhurnal, vol. 60, July-Aug. 1983, p. 763-766) Soviet Astronomy (ISSN 0038-5301), vol. 27, July-Aug. 1983, p. 4

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Libration, Three Body Problem, Coordinates, Fortran, Power Series

Scientific paper

Power series for calculating the coordinates of rectilinear libration points in the restricted three-body problem are obtained in literal form. The ratio of the finite mass of one of the bodies to the sum of the two finite masses is the small parameter. The published series are accurate to within the 30th power of the small parameter. The coefficients of the series are given in the form of rational numbers where possible. The calculations were made using the UPP system for programming analytical operations on Poisson series in literal form.

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