Atlas727 of 3,942

I.A.52

From Li, Jing & Liao (2018)

I.A.52 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 107.17 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 1.323), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00317 of each other at a top speed of 17.8, line up 106 times a period, and the computed loop closes to 1.2×10⁻²⁵.

Measured over one period

Period: 107.1704322
Masses: 1 : 1 : 1
Energy: -1.31639
Angular momentum: 0
Closest approach: 0.003170
Top speed: 17.76
Path length: 268.52
Alignments per period: 106
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABAbaBAbaBABabABabABAbaBAbaBABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.323)
Loop closure: 1.2×10⁻²⁵

Neighbours on the map

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