Initial orbit determination by Laplace's method

Astronomy and Astrophysics – Astronomy

Scientific paper

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Orbit Calculation, Orbital Elements, Spacecraft Orbits, Synchronous Satellites, Iteration, Polynomials, Spherical Coordinates

Scientific paper

An iteration process allowing the simultaneous improvement of the orbital elements and the derivatives of spherical coordinates is described. The approximate values of the first and second derivatives of spherical coordinates required for Laplace's method are determined by a differentiation of polynomials. Examples are presented of orbit determination for geostationary satellites to illustrate the method under consideration.

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