Atlas701 of 3,942

I.A.101

From Li, Jing & Liao (2018)

I.A.101 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 153.59 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 0.000254 of each other at a top speed of 62.8, line up 210 times a period, and the computed loop closes to 2.7×10⁻²⁵.

Measured over one period

Period: 153.5887773
Masses: 1 : 1 : 1
Energy: -1.60993
Angular momentum: 0
Closest approach: 2.5×10⁻⁴
Top speed: 62.77
Path length: 406.74
Alignments per period: 210
Topology: abaBAbabABAbabABabaBABabaBABabABAbabABAbabABabaBABabaBAbabABAbabABAbaBABabaBABabABAbabABAbabABabaBABabaBABabABAbabABAbaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.7×10⁻²⁵

Neighbours on the map

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