Atlas380 of 3,942

I.A.98

From Li, Jing & Liao (2018)

I.A.98 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 125.77 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 1.217), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000315 of each other at a top speed of 56.4, line up 214 times a period, and the computed loop closes to 8.6×10⁻¹³.

Measured over one period

Period: 125.7687868
Masses: 1 : 1 : 1
Energy: -1.81912
Angular momentum: 0
Closest approach: 3.1×10⁻⁴
Top speed: 56.38
Path length: 323.05
Alignments per period: 214
Topology: ababABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabABABababABAbabaBABAbabABABababABAbabaBABAbabABAB (free-group class)
Stability: weakly unstable (|λ|max 1.217)
Loop closure: 8.6×10⁻¹³

Neighbours on the map

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