Precise Orbit Propagation of Geostationary Satellite Using Cowell's Method

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

To calculate the position and velocity of the artificial satellite precisely, one has to broil a mathematical model concerning the perturbations by understanding and analysing the space environment correctly and then quantifying. Due to these space environment model, the total acceleration of the artificial satellite can be expressed as the 2nd order differential equation and we build an orbit propagation algorithm by integrating twice this equation by using the Cowell's method which gives the position arid velocity of th artificial satellite at any given time. Perturbations important for the orbits of geostationary spacecraft are the Earth's gravitational potential, the gravitational influence of the sun and moon, and the solar radiation pressure. For precise orbit propagation in Cowell' method, 40 x 40 spherical harmonic coefficients cal be applied and the JPL DE403 ephemeris files were used to generate the range from earth to sun and moo and 8th order Runge-Kutta single step method with variable step-size control is use to integrate the orbit propagation equations.

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