On the collision hazard of colocated geostationary satellites
Abstract
The collision hazard between two actively controlled geostationary satellites sharing the same longitude window has been studied. The satellites are assumed to be controlled by two different agencies. Stationkeeping maneuvers bring the satellite into an orbit, defined by target elements, with minimum fuel. Orbit perturbations, orbit estimation uncertainties and impulse execution errors are considered. The minimum relative distance between the satellites encountered over a year is computed from the ephemeries of the satellites generated by a computer software. Such distances, generated for many years by Monte Carlo simulations, lead us to make statistically meaningful inferences on the physical collisions. Six different colocation strategies, including two independent strategies and four coordinated strategies are considered. Targetting at different orbital elements like mean geographic longitude, eccentricity vector and inclination vector results in separating the satellites and reducing the collision risk. For the uncoordinated strategies the data fit a two parameter Weibull extreme value distribution well.
 Publication:

Astrodynamics 1987
 Pub Date:
 1988
 Bibcode:
 1988asdy.conf..204H
 Keywords:

 Collisions;
 Monte Carlo Method;
 Satellite Lifetime;
 Simulation;
 Statistical Analysis;
 Synchronous Satellites;
 Collocation;
 Histograms;
 Maximum Likelihood Estimates;
 Astrodynamics