Atlas543 of 3,942

I.A.149

From Li, Jing & Liao (2018)

I.A.149 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 97.179 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 unstable (largest Floquet multiplier 2172), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00218 of each other at a top speed of 21.5, line up 122 times a period, and the computed loop closes to 1.8×10⁻²⁵.

Measured over one period

Period: 97.17902014
Masses: 1 : 1 : 1
Energy: -1.50023
Angular momentum: 0
Closest approach: 0.002183
Top speed: 21.46
Path length: 236.31
Alignments per period: 122
Topology: ababABababABAbabaBABabaBABabaBABAbabABABabABABabaBABAbabABAbabABAbabaBAB (free-group class)
Stability: unstable (|λ|max 2172)
Loop closure: 1.8×10⁻²⁵

Neighbours on the map

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