Tuesday, March 5, 2013

1303.0232 (Francesco Biscani et al.)

A first-order secular theory for the post-Newtonian two-body problem
with spin -- I: The restricted case

Francesco Biscani, Sante Carloni
We revisit the relativistic restricted two-body problem with spin employing a perturbation scheme based on Lie series. Starting from a post-Newtonian expansion of the field equations, we develop a first-order secular theory that reproduces well-known relativistic effects such as the precession of the pericentre and the Lense-Thirring and geodetic effects. Additionally, our theory takes into full account the complex interplay between the various relativistic effects, and provides a new explicit solution of the averaged equations of motion in terms of elliptic functions. Our analysis reveals the presence of particular configurations for which non-periodical behaviour can arise. The application of our results to real astrodynamical systems (such as Mercury-like and pulsar planets) highlights the contribution of relativistic effects to the long-term evolution of the spin and orbit of the secondary body.
View original: http://arxiv.org/abs/1303.0232

No comments:

Post a Comment