Determining satellite orbit from two velocity vectors

Mathematics

Scientific paper

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Angular Velocity, Artificial Satellites, Kepler Laws, Orbital Position Estimation, Satellite Orbits, Vectors (Mathematics), Algorithms, Orbital Elements

Scientific paper

A method is proposed for determining the Keplerian orbit of an artificial satellite of the Earth or of a planet according to two velocity vectors given at known moments of time. The method relies on a Newtonian orbit-parameter iteration procedure. A numerical example is presented for an Earth satellite with the following orbital elements: a = 6700 km, e = 0.01, i = 1 rad, Omega = 0 deg, omega = 0 deg, and M(0) = 0 deg. It is concluded that the proposed algorithm is sufficiently simple and that the convergence speed of the iterative procedure is high.

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