Patent ID: 8749545

Claim:
A method for visualizing positional probability of objects in outer space, the method comprising: receiving, by a computer comprising one or more processors, initial conditions of the objects, wherein the objects represent one or more of satellites or space debris; determining, by the computer, projected positions of the objects based, at least in part, on the initial conditions; determining, by the computer based at least in part on the projected positions, a first 2-dimensional (2D) section that intersects the projected positions at a first set of intersection points, and a second 2D section that intersects the projected positions at a second set of intersection points; determining, by the computer, a first 2D boundary curve within the first 2D section, the first 2D boundary curve surrounding the first set of intersection points; determining by the computer, a second 2D boundary curve within the second 2D section, the second 2D boundary curve surrounding the second set of intersection points; generating, by the computer, one or more connection edges between the first 2D boundary curve and the second 2D boundary curve; and assembling, by the computer based at least in part on the one or more connection edges, a 3-dimensional (3D) representation of the positional probability of the objects in outer space.