The coverage of elliptical orbits using Ergodic theory

One of the key performance metrics for satellite constellations is the statistics of the visibility periods between the satellites and poins on the ground. Associated with this are other desirable communications statistis such as data through-put, link qualities, etc. Typically, the computation of coverage statistics requires the propagation of the trajectories. In this paper a new algorithm using differential geometry enables us to extend the Ergodic theory to eliptical orbits.