Atlas342 of 3,942

I.A.175

From Li, Jing & Liao (2018)

I.A.175 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 160.17 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 0.0000246 of each other at a top speed of 202, line up 306 times a period, and the computed loop closes to 1.2×10⁻¹⁵.

Measured over one period

Period: 160.1693148
Masses: 1 : 1 : 1
Energy: -1.95651
Angular momentum: 0
Closest approach: 2.5×10⁻⁵
Top speed: 201.6
Path length: 414.80
Alignments per period: 306
Topology: ababABAbabaBABAbabaBABAbabaBABababABABababABABababABAbabaBABAbabaBABAbabaBABababABABababABABabaBABAbabaBABAbabaBABAbabABABababABABababABABabaBABAbabaBABAbabaBABAbabABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.2×10⁻¹⁵

Neighbours on the map

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