Atlas645 of 3,942

I.A.23

m₃ = 4

From Li, Jing & Liao (2018)

I.A.23 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 159.85 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 linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000247 of each other at a top speed of 509, line up 406 times a period, and the computed loop closes to 6.7×10⁻¹⁶.

Measured over one period

Period: 159.8521879
Masses: 1 : 1 : 4
Energy: -6.16183
Angular momentum: 0
Closest approach: 2.5×10⁻⁵
Top speed: 508.5
Path length: 625.44
Alignments per period: 406
Topology: ababababababABABABABABAbabababababaBABABABABABAbabababababaBABABABABABababababababABABABABABABababababababABABABABABABabababababaBABABABABABAbabababababaBABABABABABAbabababababABABABABABABababababababABABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 6.7×10⁻¹⁶

Neighbours on the map

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