Seminario MathLab: 25 ottobre 2019
Il 25 ottobre, alle ore 11:00 (in aula 3 di Palazzo Campana) il Dr. Sante Carloni (Centro Multidisciplinar de Astrofisica - CENTRA, Instituto Superior Tecnico - Lisbon) terrà il seguente seminario MathLab:
"A first-order secular theory for the post-Newtonian two-body problem with spin: the restricted case"
Abstract: 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.