Atlas318 of 3,942

I.A.163

From Li, Jing & Liao (2018)

I.A.163 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 116.48 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 3.002), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000248 of each other at a top speed of 635, line up 246 times a period, and the computed loop closes to 1.3×10⁻²⁰.

Measured over one period

Period: 116.4750674
Masses: 1 : 1 : 1
Energy: -2.07767
Angular momentum: 0
Closest approach: 2.5×10⁻⁶
Top speed: 634.8
Path length: 292.10
Alignments per period: 246
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 3.002)
Loop closure: 1.3×10⁻²⁰

Neighbours on the map

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