Atlas775 of 3,942

I.A.152

From Li, Jing & Liao (2018)

I.A.152 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 136.08 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 31.87), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00412 of each other at a top speed of 15.6, line up 122 times a period, and the computed loop closes to 5.4×10⁻²⁵.

Measured over one period

Period: 136.0765365
Masses: 1 : 1 : 1
Energy: -1.23731
Angular momentum: 0
Closest approach: 0.004116
Top speed: 15.60
Path length: 338.87
Alignments per period: 122
Topology: abaBAbaBAbaBAbaBAbabABabABabABabABabABabABAbaBAbaBAbaBAbaBABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 31.87)
Loop closure: 5.4×10⁻²⁵

Neighbours on the map

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