Atlas752 of 3,942

I.A.55

From Li, Jing & Liao (2018)

I.A.55 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 121.68 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 weakly unstable (largest Floquet multiplier 1.090), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0028 of each other at a top speed of 18.9, line up 118 times a period, and the computed loop closes to 3.7×10⁻²⁵.

Measured over one period

Period: 121.6765448
Masses: 1 : 1 : 1
Energy: -1.30018
Angular momentum: 0
Closest approach: 0.002796
Top speed: 18.91
Path length: 304.01
Alignments per period: 118
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.090)
Loop closure: 3.7×10⁻²⁵

Neighbours on the map

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