Abstract
The modified Hansen theory for the motion of an artificial satellite, as developed by Peter Musen, represents the gravitational perturbations. The development takes the form of several trigonometric series with numerical coefficients and specified arguments. The result of the modified Hansen theory is the position vector of the satellite which is obtained by evaluating these series. In the present paper the velocity vector and the six classical osculating elements are shown to be obtainable also from the series in the general theory. The ability to obtain osculating elements and/or velocity from the modified Hansen theory is considered a significant adjunct to that theory. Comparison with other general perturbations theories and with special perturbations techniques is now possible. Accurate transition from the general theory to numerical integration makes it possible to transfer to the latter method when additional disturbing forces, not included in the general theory, become of consequence.
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