Atlas524 of 3,942

I.A.176

From Li, Jing & Liao (2018)

I.A.176 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 153.91 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 10.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000175 of each other at a top speed of 75.6, line up 306 times a period, and the computed loop closes to 2.0×10⁻²⁴.

Measured over one period

Period: 153.9063858
Masses: 1 : 1 : 1
Energy: -2.03471
Angular momentum: 0
Closest approach: 1.8×10⁻⁴
Top speed: 75.56
Path length: 434.23
Alignments per period: 306
Topology: ababABAbabaBABabaBABababABAbabaBABabaBABababABAbabABAbabaBABababABAbabABAbabaBABababABAbabABABabaBABAbabABAbabABABabaBABAbabABAbabABABabaBABabaBABAbabABABabaBABabaBABAbabABABabaBAB (free-group class)
Stability: unstable (|λ|max 10.70)
Loop closure: 2.0×10⁻²⁴

Neighbours on the map

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