Atlas750 of 3,942

I.A.157

From Li, Jing & Liao (2018)

I.A.157 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 178.23 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 32.42), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00164 of each other at a top speed of 24.7, line up 186 times a period, and the computed loop closes to 5.2×10⁻²⁵.

Measured over one period

Period: 178.2257296
Masses: 1 : 1 : 1
Energy: -1.36880
Angular momentum: 0
Closest approach: 0.001642
Top speed: 24.68
Path length: 460.85
Alignments per period: 186
Topology: aaBAbaBAbaBAbaBAbbABabABabABabAAbaBAbaBAbaBAbaBBabABabABabABabAAbaBAbaBAbaBAbaBBabABabABabABaaBAbaBAbaBAbaBAbbABabABabABabAB (free-group class)
Stability: unstable (|λ|max 32.42)
Loop closure: 5.2×10⁻²⁵

Neighbours on the map

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