Determination of an optimal program of measurements with constraints on the error in estimating three motion parameters of a satellite with a 24-hour orbit

Computer Science

Scientific paper

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Constraints, Error Analysis, Optimization, Satellite Orbits, Spacecraft Motion, Velocity Measurement, Radial Velocity, State Vectors

Scientific paper

The paper presents a numerical solution to the problem of determining the optimal measurement program in the case of a seven-dimensional state vector defining the almost-circular motion of the satellite. Three motion parameters of the satellite are estimated on the basis of measurements of range and radial velocity with respect to ground points. It is shown that Lidov's (1985) algorithm can be used to obtain a complete qualitative picture of all the possible constraints on the variances of the errors in the estimation of the three parameters.

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