The use of angles and angular rates. I - Initial orbit determination

Computer Science – Numerical Analysis

Scientific paper

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Angular Velocity, Goniometers, Orbit Calculation, Satellite Orbits, Approximation, Boundary Value Problems, Newton-Raphson Method, Numerical Analysis, Optical Tracking, Orbital Elements, Radar Tracking, Spacecraft Tracking, Synchronous Satellites

Scientific paper

The simultaneous acquisition of angles and angular rates of artificial satellites constitutes a new initial orbit problem which has been solved. Three different methods of solution are presented including an exact, analytical one. Numerical tests on six widely different satellite orbits indicate that the topocentric distance can be determined to better than 1% (and usually as well as 0.1%) for most satellites after a 5-10 min observation interval.

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