Atlas634 of 3,942

I.A.75

From Li, Jing & Liao (2018)

I.A.75 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 127.4 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 40.04), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00131 of each other at a top speed of 27.6, line up 170 times a period, and the computed loop closes to 8.8×10⁻²⁵.

Measured over one period

Period: 127.4002459
Masses: 1 : 1 : 1
Energy: -1.58598
Angular momentum: 0
Closest approach: 0.001311
Top speed: 27.64
Path length: 335.75
Alignments per period: 170
Topology: abaBAbabABAbabABAbaBABabaBAbabABAbabABAbaBABabaBAbabABAbaBABabaBABabaBAbabABAbaBABabaBABabaBAbabABAbaBAB (free-group class)
Stability: unstable (|λ|max 40.04)
Loop closure: 8.8×10⁻²⁵

Neighbours on the map

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