Atlas501 of 3,942

I.A.99

From Li, Jing & Liao (2018)

I.A.99 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 121.43 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 1.241), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000661 of each other at a top speed of 38.9, line up 210 times a period, and the computed loop closes to 7.8×10⁻²⁵.

Measured over one period

Period: 121.4331849
Masses: 1 : 1 : 1
Energy: -1.85748
Angular momentum: 0
Closest approach: 6.6×10⁻⁴
Top speed: 38.91
Path length: 330.46
Alignments per period: 210
Topology: ababABAbabABAbabaBABabaBABababABAbabABAbabaBABabaBABababABAbabABABabaBABabaBABAbabABAbabABABabaBABabaBABAbabABAbabABABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.241)
Loop closure: 7.8×10⁻²⁵

Neighbours on the map

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