In Chapter I the equations of motion for a satellite in a rotationally symmetric gravity field are reduced to a system of two ordinary first order differential equations for p and 1/r as functions of the angular polar distance Φ by first introducing the arc length s of the spherical image of the orbit on the unit sphere as independent parameter.nIn Chapter III a differential geometrical approach is applied which leads to simple formulae for the calculation of the regres¬sion. A vector integral equation is derived for the deviation of the satellite from the plane of the initial osculating ellipse.
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