Atlas280 of 3,942

I.A.185

From Li, Jing & Liao (2018)

I.A.185 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 164.79 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 0.00000745 of each other at a top speed of 366, line up 358 times a period, and the computed loop closes to 1.1×10⁻¹⁷.

Measured over one period

Period: 164.7857262
Masses: 1 : 1 : 1
Energy: -2.11895
Angular momentum: 0
Closest approach: 7.5×10⁻⁶
Top speed: 366.3
Path length: 425.97
Alignments per period: 358
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.1×10⁻¹⁷

Neighbours on the map

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