Calculation of ephemerides for libration points

Astronomy and Astrophysics – Astronomy

Scientific paper

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Earth-Moon System, Lagrange Coordinates, Librational Motion, Planet Ephemerides, Solar System, Three Body Problem, Astronomical Coordinates, Geocentric Coordinates, Spherical Coordinates

Scientific paper

Equations necessary for calculating geocentric ephemerides of the libration points in the earth-moon and sun-earth systems in the equatorial and horizon spherical coordinate systems are presented. The libration points, first discovered by Lagrange, are treated as those spontaneously occurring at the vertices of equilateral triangles or at the collinear midpoints of straight lines between the bodies, determined by the restricted three-body problem. It is expected that dust clouds, such as Kordylewski clouds or the source of the gegenschein glow, will be located at the points thus far defined. Equatorial coordinates of the L4 and L5 points of the earth-moon system for five days in March 1981 are provided as examples.

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