most citedEquilibria, periodic orbits around equilibria, and heteroclinic connections in the gravity field of a rotating homogeneous cube

54 citations · 252 across the 8 of their papers we have counts for

collaborators

8 papers

astro-ph.EP2012★ 13 cited

The Hill Stability of Triple Minor Planets in the Solar System

Xiaodong Liu, Hexi Baoyin, Nikolaos Georgakarakos +2

The triple asteroids and triple Kuiper belt objects (collectively called the triple minor planets) in the Solar system are of particular interest to the scientific community since…

astro-ph.EP2012★ 16 cited

Periodic orbits around areostationary points in the Martian gravity field

Xiaodong Liu, Hexi Baoyin, Xingrui Ma

This study investigates the problem of areostationary orbits around Mars in the three-dimensional space. Areostationary orbits are expected to be used to establish a future telecom…

astro-ph.EP2012★ 37 cited

Long-term perturbations due to a disturbing body in elliptic inclined orbit

Xiaodong Liu, Hexi Baoyin, Xingrui Ma

In the current study, a double-averaged analytical model including the action of the perturbing body's inclination is developed to study third-body perturbations. The disturbing fu…

astro-ph.EP2011★ 26 cited

Analytical investigations of quasi-circular frozen orbits in the Martian gravity field

Xiaodong Liu, Hexi Baoyin, Xingrui Ma

Frozen orbits are always important foci of orbit design because of their valuable characteristics that their eccentricity and argument of pericentre remain constant on average. Thi…

astro-ph.EP2011★ 23 cited

Extension of the critical inclination

Xiaodong Liu, Hexi Baoyin, Xingrui Ma

The critical inclination is of special interest in artificial satellite theory. The critical inclination can maintain minimal deviations of eccentricity and argument of pericentre…

astro-ph.EP2011★ 54 cited

Equilibria, periodic orbits around equilibria, and heteroclinic connections in the gravity field of a rotating homogeneous cube

Xiaodong Liu, Hexi Baoyin, Xingrui Ma

This paper investigates the dynamics of a particle orbiting around a rotating homogeneous cube, and shows fruitful results that have implications for examining the dynamics of orbi…

astro-ph.EP2011★ 40 cited

Periodic orbits in the gravity field of a fixed homogeneous cube

Xiaodong Liu, Hexi Baoyin, Xingrui Ma

In the current study, the existence of periodic orbits around a fixed homogeneous cube is investigated, and the results have powerful implications for examining periodic orbits aro…

astro-ph.EP2011★ 43 cited

Five Special Types of Orbits Around Mars

Xiaodong Liu, Hexi Baoyin, Xingrui Ma

The abstract is additional with repect to the paper published in JGCD. Ordinary Earth satellites are usually placed into five categories of special orbits: sun-synchronous orbits,…