7 citations · 10 across the 5 of their papers we have counts for
5 papers
Birkhoff sections in 3-manifold with invariant toric foliation
Wentian Kuang
In this paper, we study the Birkhoff sections in a 3-manifold foliated by invariant tori. We establish the necessary and sufficient conditions for various types of periodic orbits…
On shape sphere and rotation of three-body motion
Wentian Kuang
For three-body problem, R.Montgomery [3] proved a reconstruction formula which calculates the overall rotation relating two similar triangle configurations if the initial triangula…
Geometric properties of minimizers in the planar three-body problem with two equal masses
Wentian Kuang, Duokui Yan
It it shown that each lobe of the figure-eight orbit is star-shaped, which implies the polar angle is monotone in each lobe. In general, it is not clear when a minimizer is star-sh…
Existence of prograde double-double orbits in the equal-mass four-body problem
Wentian Kuang, Duokui Yan
By introducing simple topological constraints and applying a binary decomposition method, we show the existence of a set of prograde double-double orbits for any rotation angle $θ\…
The Broucke-Hénon orbit and the Schubart Orbit in the planar three-body problem with equal masses
Wentian Kuang, Tiancheng Ouyang, Zhifu Xie +1
In this paper, we study the variational properties of two special orbits: the Schubart orbit and the Broucke-Hénon orbit. We show that under an appropriate topological constraint,…