A first-order secular theory for the post-Newtonian two-body problem with spin - II. A complete solution for the angular coordinates in the restricted case

作者：Biscani Francesco^*; Carloni Sante

来源：Monthly Notices of the Royal Astronomical Society, 2015, 446(3): 3062-3077.

DOI：10.1093/mnras/stu2258

• gravitation
• relativistic processes
• celestial mechanics

Building on the results of a previous paper, we compute for the first time a full first-order perturbative solution for the angular coordinates in the restricted post-Newtonian two-body problem with spin. The analytical integration of the angular coordinates, based on the theory of the Weierstrassian functions, allows us to investigate thoroughly the spin-orbit and spin-spin interactions, and to derive several new results. The application of our solution to a selection of idealized physical systems of interest reveals a rich variety of dynamical behaviours driven by purely relativistic effects. In particular, we highlight a new relativistic nutational motion resulting from the combined spin-orbit and spin-spin interactions.

• 出版日期2015-1-21