Atlas694 of 3,915

I.A.2

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.2 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 13.915 time units, published by Li, Jing & Liao (2018). Class I.A orbits found with Liao’s clean numerical simulation method, for a third body of varying mass. It is weakly unstable (largest Floquet multiplier 7.187), so a small nudge makes it unravel over a few periods. The bodies pass within 0.252 of each other at a top speed of 2.33, line up 10 times a period, and the computed loop closes to 1.1×10⁻²⁹.

Measured over one period

Period: 13.91533396
Masses: 1 : 1 : 0.5
Energy: -0.751384
Angular momentum: 0
Closest approach: 0.2519
Top speed: 2.331
Path length: 30.674
Alignments per period: 10
Stability: weakly unstable (|λ|max 7.187)
Loop closure: 1.1×10⁻²⁹

Neighbours on the map

All I.A orbits, the families of periodic three-body orbits, or the atlas map.