A modified Hansen's theory as applied to the motion of artificial satellites
National Aeronautics and Space Administration, 1960 - Science - 39 pages
This report presents a theory of oblateness perturbations of the orbits of artificial satellites based on Hansen's theory, with modification for adaptation to fast machine computation. The theory permits the easy inclusion of any gravitational terms and is suitable for the deduction of geo-physical and geodetic data from orbit observations on artificial satellites. The computations can be carried out to any desired order compatible with the accuracy of the geodetic parameters.
What people are saying - Write a review
We haven't found any reviews in the usual places.
additional constants angular velocity approximation area integral argument of perigee ARTIFICIAL SATELLITES Astron axis Brouwer central body classic equation classic formula computation Consequently const constant terms constants of integration deduce from Equation departure point determined Differentiating Equations disturbing force disturbing function dt dt dt dt h eccentric anomaly elements eQ sin F Equation 57 Equation 79 Equation 83 exposition gravitational h/hQ inertial system Kepler's equation last equation latitude matrix of rotation matrix representing mean anomaly mean position method of iterations moving ellipse node obtained from Equation osculating orbit plane osculating plane parameters periodic terms polar angle position vector present radius vector real satellite replaced rigid body rotation matrix secular motion secular term small oscillations spherical Substituting Equations system of coordinates system rigidly connected Taking Equations THEORY OF PERTURBATIONS tion true anomaly turbations X-axis XYZ system Z-axis