Atlas314 of 3,942

I.A.127

From Li, Jing & Liao (2018)

I.A.127 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 129.16 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 3.620), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000442 of each other at a top speed of 476, line up 274 times a period, and the computed loop closes to 2.9×10⁻²⁰.

Measured over one period

Period: 129.1627540
Masses: 1 : 1 : 1
Energy: -2.08435
Angular momentum: 0
Closest approach: 4.4×10⁻⁶
Top speed: 475.5
Path length: 326.48
Alignments per period: 274
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 3.620)
Loop closure: 2.9×10⁻²⁰

Neighbours on the map

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