Atlas762 of 3,942

I.A.54

From Li, Jing & Liao (2018)

I.A.54 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 112.97 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 186.2), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0193 of each other at a top speed of 7.21, line up 114 times a period, and the computed loop closes to 3.8×10⁻²⁷.

Measured over one period

Period: 112.9677142
Masses: 1 : 1 : 1
Energy: -1.33895
Angular momentum: 0
Closest approach: 0.01929
Top speed: 7.205
Path length: 291.25
Alignments per period: 114
Topology: aaBAbaBAbaBAbaBAbaBAbbABabABabABabABabAAbaBAbaBAbaBAbaBAbaBBabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 186.2)
Loop closure: 3.8×10⁻²⁷

Neighbours on the map

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