The effect of solar radiation pressure on the motion of an artificial satellite

Physics

Scientific paper

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Artificial Satellites, Euler-Lagrange Equation, Radiation Pressure, Solar Radiation, Coupling Coefficients, Measure And Integration, Orbital Mechanics, Perturbation Theory, Quadratic Equations

Scientific paper

The effect of solar radiation pressure on the motion of an artificial satellite was investigated using Lagrange's planetary equations. The disturbing function due to the solar radiation pressure was expanded in an infinite series in terms of osculating elliptic elements. Neglecting the coupling effects between the oblateness of the earth and the solar radiation pressure, perturbations of the first order were obtained. The shadow equation is expressed by means of the quadratic equation in terms of rectangular coordinates, and the limits of integration were obtained by solving the shadow equation analytically. The theory was applied to the orbits of the geostationary satellite and the balloon-type satellite, and variations of orbital elements were calculated.

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