Atlas362 of 3,942

I.A.178

From Li, Jing & Liao (2018)

I.A.178 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 143.91 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 linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000418 of each other at a top speed of 489, line up 314 times a period, and the computed loop closes to 3.0×10⁻²⁰.

Measured over one period

Period: 143.9064578
Masses: 1 : 1 : 1
Energy: -2.13333
Angular momentum: 0
Closest approach: 4.2×10⁻⁶
Top speed: 489.2
Path length: 383.37
Alignments per period: 314
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.0×10⁻²⁰

Neighbours on the map

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