Introduction of empirical parameters deduced from the Hill's equations for satellite orbit determination.

Details Introduction of empirical parameters deduced from the Hill's equations for satellite orbit determination. Introduction of empirical parameters deduced from the Hill's equations for satellite orbit determination.

May 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994mgeo...19..135c&link_type=abstract

Manuscr. Geod., Vol. 19, No. 3, p. 135 - 156

Computer Science

Artificial Satellites: Orbit Determination

Scientific paper

The theory of perturbations suggests that, in the calculation of ephemerides, most errors due to mismodeling of the forces acting on a spacecraft are of a resonant nature. Colombo (1986; 1989) has shown that they can be corrected by adjusting a certain number of parameters relative to a simple empirical force inferred from the so-called Hill's equations in spite of the complexity of the error causes: mismodeling of the gravitational field, radiation pressure etc. This principle can not be extended to all types of orbits and are valid only for circular ones (ex: geostationary or low Earth orbit). This force was introduced into an orbit determination software and it was tested on the orbits of the LAGEOS, STARLETTE, SPOT2, TOPEX and finally GPS satellites.

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