The Newton-Raphson method in orbit determination

Statistics – Applications

Scientific paper

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Newton-Raphson Method, Orbit Calculation, Satellite Orbits, Convergence, Equations Of Motion, Two Body Problem

Scientific paper

Applications of the Newton-Raphson iterative method to artificial satellite orbit determination are reviewed. Solution of the nonlinear algebraic equation system is discussed and the convergence of the method is investigated. In the numerical examples, the equation which describes the motion of the satellite is the equation of the two-body motion. The state equation can involve any acting forces.

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