A planetary body moving on an eccentric orbit around the primary is subject to a periodic perturbing potential, affecting its internal mass distribution. In a previous paper (Rappaport et al., 1997, Icarus 126, 313), we have calculated the periodic modulation of the gravity coefficients of degree 2, for a body on a synchronous orbit. Here, the previous analysis is extended by considering also n...

The spin-orbit problem in celestial mechanics describes the motion of an oblate satellite moving on a Keplerian orbit around a primary body. We apply the conjugate points criterion for the nonexistence of rotational invariant tori. We treat both the conservative case and a case including a dissipative effect modeling a tidal torque generated by internal nonrigidity. As a by-product of the conju...

A first-order perturbation theory exists for the flyby problem with the Born approximation as the reference orbit (J. D. Anderson and G. Giampieri 1999, Icarus 138, 309–318, AG thereafter). This theory is applicable when the deflection parameter μ/bv2 (where μ is the product of the gravitational constant by the body’s mass, b the impact parameter, and v the velocity of the flyby) is small. Here...

Canonical perturbation theory shows that orbit-averaged theory only requires the time-scale separation between equilibrium and perturbed motions and verifies the conventional concept that orbit averaging effects greatly reduce the transport of energetic particles by microturbulence in tokamak. Thereafter, a recent claim [Phys. Rev. Lett. 102, 075004 (2009); 107, 239502 (2011)] of the orbit-aver...

We derive all second post-Newtonian ~2PN!, non-precessional effects of spin-orbit coupling on the gravitational waveforms emitted by an inspiraling binary composed of spinning, compact bodies in a quasicircular orbit. Previous post-Newtonian calculations of spin-orbit effects ~at 1.5PN order! relied on a fluid description of the spinning bodies. We simplify the calculations by introducing into ...

Abstract We deploy the theory of generalized three-body problem to describe an exosystem composed a host star, transiting Jupiter-sized exoplanet, and Earth-sized exoplanet. By performing thorough systematic orbit classification we map large section phase space determine final states In particular, manage classify initial conditions perturber into several categories such as bounded regular or c...