Atlas698 of 3,942

I.A.118

From Li, Jing & Liao (2018)

I.A.118 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 165.45 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 17.11), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00256 of each other at a top speed of 19.8, line up 242 times a period, and the computed loop closes to 1.3×10⁻²⁵.

Measured over one period

Period: 165.4459242
Masses: 1 : 1 : 1
Energy: -1.68593
Angular momentum: 0
Closest approach: 0.002560
Top speed: 19.79
Path length: 449.46
Alignments per period: 242
Topology: abaBAbabABAbabABabaBABabaBAbabABAbaBABabaBABabaBAbabABAbaBABabaBABabaBAbabABAbaBABabaBABabABAbabABAbaBABabaBAbabABAbabABAbaBABabaBAbabABAbabABAbaBAB (free-group class)
Stability: unstable (|λ|max 17.11)
Loop closure: 1.3×10⁻²⁵

Neighbours on the map

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