Atlas500 of 3,942

I.A.170

From Li, Jing & Liao (2018)

I.A.170 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 172.79 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 linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000902 of each other at a top speed of 105, line up 278 times a period, and the computed loop closes to 3.9×10⁻²⁴.

Measured over one period

Period: 172.7929755
Masses: 1 : 1 : 1
Energy: -1.76936
Angular momentum: 0
Closest approach: 9.0×10⁻⁵
Top speed: 105.3
Path length: 458.23
Alignments per period: 278
Topology: ababABAbabABAbabaBABabaBABababABAbabABABabaBABabaBABAbabABAbabaBABabaBABababABAbabABABabaBABabaBABAbabABAbabABABabaBABababABAbabABAbabaBABabaBABAbabABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.9×10⁻²⁴

Neighbours on the map

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