Out-of-plane equilibrium points and stability in the generalised photogravitational restricted three body problem

Details Out-of-plane equilibrium points and stability in the generalised photogravitational restricted three body problem Out-of-plane equilibrium points and stability in the generalised photogravitational restricted three body problem

Mar 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.332..115s&link_type=abstract

Astrophysics and Space Science, Volume 332, Issue 1, pp.115-119

Astronomy and Astrophysics

Astrophysics

3

Stability, Out-Of-Plane Points, Generalised, Photogravitational, Rtbp

Scientific paper

The restricted three body problem is generalised to include the effects of an inverse square distance radiation pressure force on the infinitesimal mass due to the primaries, which are both radiating. In this paper we investigate the stability of out-of-plane equilibrium points, based on equations in variations. We have found the characteristic equation for the complex normal frequencies which is a sixth order polynomial. Thus we conclude that out-of-plane equilibrium points are unstable due to positive real part in complex roots.

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