revolutionkruto.blogg.se - Endless space 2 sphere of influence

The region of influence of the second body is shortest in that direction, and so it acts as the limiting factor for the size of the Hill sphere. The Hill sphere extends between the Lagrangian points L 1 and L 2, which lie along the line of centers of the two bodies. A small third body can orbit the second within the Hill sphere, with this resultant force as centripetal force.

The Hill sphere is the largest sphere, centered at the second body, within which the sum of the three fields is directed towards the second body.

the centrifugal force in a frame of reference rotating about the central body with the same angular frequency as the second body.

It is also called the Roche sphere because the French astronomer Édouard Roche independently described it.Ĭonsidering a central body and a second body in orbit around it (for example the Sun and Jupiter), the Hill sphere is derived from consideration of the following three vector fields: It was defined by the American astronomer George William Hill.

A Hill sphere approximates the gravitational sphere of influence of one astronomical body in the face of perturbations from another heavier body around which it orbits.