Secular dynamics of coplanar, non-resonant planetary system under the general relativity and quadrupole moment perturbations

Understand

We construct a secular theory of a coplanar system of N-planets not involved in strong mean motion resonances, and which are far from collision zones.

• Besides the point-to-point Newtonian mutual interactions, we consider the general relativity corrections to the gravitational potential of the star and the innermost planet, and also a modification of this potential by the quadrupole moment and tidal distortion of the star.
• We focus on hierarchical planetary systems.
• A survey regarding model parameters (the masses, semi-major axes, spin rate of the star) reveals a rich and non-trivial dynamics of the secular system.