Semi-analytical orbital model around an oblate body with an inclined eccentric perturber

The semi-analytical model (based on the averaging technique) for long-term orbital evolution has proven to be useful in both astrophysical and astrodynamical contexts. In this secular approximation, orbits exhibit rich evolutionary behaviors under effects of various perturbations. For example, hierarchical three-body systems, Lidov-Kozai mechanism based quadrupole-level third-body perturbation can produce large-amplitude oscillations eccentricity inclination. recent years, octupole order been found induce dramatically new features when perturbing body’s orbit is eccentric, including extremely high eccentricities flips between prograde retrograde. Motivated by striking octupole-order terms, we intend derive a more general dynamical incorporating J 2 central body inclined eccentric hexadecapole with its non-spherical gravity also included. This issue relevant systems such as planets stellar binaries, irregular satellites planetary artificial probes about binary asteroid systems. Applications system 4951 Iwamoto fictitious exoplanetary are illustrated examples validate our model. From these numerical results, show accuracy Also, important role high-order terms third-body’s inclination eccentricity. Besides, have several different that could drive large eccentricities.