Atlas502 of 3,942

I.A.115

From Li, Jing & Liao (2018)

I.A.115 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 139.24 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 1.003), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000798 of each other at a top speed of 35.4, line up 250 times a period, and the computed loop closes to 5.3×10⁻²⁵.

Measured over one period

Period: 139.2379481
Masses: 1 : 1 : 1
Energy: -1.90694
Angular momentum: 0
Closest approach: 8.0×10⁻⁴
Top speed: 35.40
Path length: 386.09
Alignments per period: 250
Topology: ababABAbabABAbabaBABabaBABabaBABAbabABAbabABAbabaBABabaBABababABAbabABAbabABABabaBABabaBABAbabABAbabABAbabaBABabaBABabaBABAbabABAbabABABabaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.003)
Loop closure: 5.3×10⁻²⁵

Neighbours on the map

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