Monte Carlo analysis of impulse requirements for injection error correction
Abstract
A comprehensive Monte Carlo statistical analysis is performed to investigate an optimum impulse requirement of a spacecraft to correct its injection errors. The covariance dispersion matrix is a representative of both position and velocity errors about a nominal injection point. A mathematical model is used to obtain numerous simulation of perturbed orbits bounded by the injection error volume. An optimum twoimpulse orbital transfer technique is applied to determine global minimum impulses to transfer from each of the perturbed orbits to a nominal or desired orbit. These global minimum impulses are then treated statistically to obtain probability histograms, and to determine success probabilities and confidence limits associated with the impulses. A significant change in the distribution function is noticed when the desired orbit is different from the nominal orbit. A general discussion of the methodology used for the analysis is presented along with some typical impulse requirements and their corresponding success probabilities.
 Publication:

American Institute of Aeronautics and Astronautics Conference
 Pub Date:
 September 1977
 Bibcode:
 1977aiaa.confR....R
 Keywords:

 Impulses;
 Monte Carlo Method;
 Spacecraft Maneuvers;
 Statistical Analysis;
 Transfer Orbits;
 Distribution Functions;
 Error Analysis;
 Geosynchronous Orbits;
 Injection;
 Orbit Perturbation;
 Astrodynamics