Studies on the Artificial Equilibrium Points in the Circular Restricted Problem of 2+2 Bodies

The present work studies the stability condition of central control artificial equilibrium points of the
planar circular restricted problem of 2+2 bodies(PCRP2+2B) and also its variant when the shape of
larger mass is taken to be an oblate spheroid. The problem under our investigation is really a
generalization of the classical restricted problem of three bodies (CRP3B). In nature we find a system
of primary masses interacting with each other and their motion are completely determined by their
interactions. We find that the paper will be of great application in choosing artificial equilibrium point
(AEP) in the neighbourhood of numerous planets e.g. Jupiter or the bodies which provide a model of
the problem studied. The minimum thrust will save a quantum of energy to be applied to have an
arbitrary point as a chosen starter. For solar sailing and magnetic force this minimum thrust will be of
great use.It is concluded that the presence of a primary with the shape of an oblate spheroid
decreases the thrust and it is an advantage over the case when the shape is to be spherical or the
bodies be taken to be point masses.