The geometry of station-keeping strategies around libration poin orbits

This paper intends to give an insight on the geometry of stationkeeping strategies around Libration Point Orbits (LPO). Classically theFloquet modes have been used to determine the¿vrequired to control the trajectory of a spacecraft around LPOs. However, they can alsobe used to describe the dynamics in a neighborhood of a reference LPO. In this paper we use the Floquet reference frame to compare thebehavior of two different stationkeeping strategies:x-axis velocity constraint at plane crossing vs the Floquet Mode. The first approachfinds the¿vrequired to cancel thexcomponent of the velocity vector at the crossing of the trajectory with they= 0plane, in the RotatingLibration Point frame. While the Floquet Mode approach finds the¿vthat cancels the unstable mode in the Floquet reference frame