Atlas604 of 3,942

I.A.30

m₃ = 4

From Li, Jing & Liao (2018)

I.A.30 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 178.29 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 1.627), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000139 of each other at a top speed of 215, line up 498 times a period, and the computed loop closes to 9.3×10⁻²⁵.

Measured over one period

Period: 178.2861323
Masses: 1 : 1 : 4
Energy: -6.56463
Angular momentum: 0
Closest approach: 1.4×10⁻⁴
Top speed: 214.8
Path length: 719.63
Alignments per period: 498
Topology: ababababababABABABABABAbabababababaBABABABABABAbabababababaBABABABABABAbabababababaBABABABABABababababababABABABABABABababababababABABABABABABabababababaBABABABABABAbabababababaBABABABABABAbabababababaBABABABABABAbabababababABABABABABABababababababABABABABABAB (free-group class)
Stability: weakly unstable (|λ|max 1.627)
Loop closure: 9.3×10⁻²⁵

Neighbours on the map

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