3 papers
nlin.CD2020
Satellites of the Broucke-Hadjidemetriou-Hénon family of periodic unequal-mass three-body orbits
Xiaoming Li, Shijun Liao
The Broucke-Hadjidemetriou-Hénon's (BHH) orbits are a family of periodic orbits of the three-body system with the simplest topological free group word , while the BHH satellites…
nlin.CD2020
One family of 13315 stable periodic orbits of the non-hierarchical unequal-mass triple system
Xiaoming Li, Xiaochen Li, Shijun Liao
The three-body problem has been studied for more than three centuries [1,2], and has received much attention in recent years [3-5]. It shows complex dynamical phenomena due to the…
nlin.CD2018
Collisionless periodic orbits in the free-fall three-body problem
Xiaoming Li, Shijun Liao
Although the free-fall three-body problem have been investigated for more than one century, however, only four collisionless periodic orbits have been found. In this paper, we repo…