Patent ID: 7744037

Claim:
A calculating method for deducing all possible scenarios and probabilities thereof in a low earth orbiting (LEO) satellite constellation, the calculating method comprising executing the steps of: (a) setting parameters (P,N) of a to-be-simulated satellite constellation including P orbits each having an orbit plane on which N satellites orbit around; (b) determining with respect to a position of a given satellite each of the other satellites in the satellite constellation based on the spherical geometry principle, the position of each of the satellites being represented as a substellar point thereof; and (c) calculating a probability when the substellar point of the given satellite S (u,v) is located at a position having the latitude φ (p,n) and the longitude λ (p,n) within a covered range with respect to an angle of elevation as the probability of a respective one of all possible scenarios, wherein p=1. . . P, n =1. . . N.