Lie perturbative analysis of the restricted two-body problem in Post-Newtonian gravitation.
- Sante Carloni
Advanced Concepts Team - European Space Agency
We revisit the Post Newtonian corrections to the restricted two-body problem employing a perturbation scheme based on Lie series. Starting from the Einstein-Infeld-Hoffman equations we explore all the correction terms to the Newtonian evolution with particular attention to the ones due to the rotation of the two objects. We solve exactly the problem of motion in this framework and we show that the interaction between the angular momentum and the rotational momentum can combine to induce non-periodical behaviors.