Atlas522 of 3,942

I.A.187

From Li, Jing & Liao (2018)

I.A.187 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 176.19 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 72.69), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00146 of each other at a top speed of 26.1, line up 362 times a period, and the computed loop closes to 9.6×10⁻²⁵.

Measured over one period

Period: 176.1949992
Masses: 1 : 1 : 1
Energy: -2.07499
Angular momentum: 0
Closest approach: 0.001464
Top speed: 26.15
Path length: 497.01
Alignments per period: 362
Topology: ababABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabaBABabaBABAbabABABabaBABababABAbabaBABababABAbabABABabaBABAbabABABabaBABababABAbabaBABabaBABAbabABABabaBABAbabABAbabaBABababABAbabABABabaBABAbabABABabaBAB (free-group class)
Stability: unstable (|λ|max 72.69)
Loop closure: 9.6×10⁻²⁵

Neighbours on the map

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