Atlas646 of 3,942

I.A.15

m₃ = 4

From Li, Jing & Liao (2018)

I.A.15 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 113.07 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 1.153), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000104 of each other at a top speed of 248, line up 314 times a period, and the computed loop closes to 2.2×10⁻²⁴.

Measured over one period

Period: 113.0730029
Masses: 1 : 1 : 4
Energy: -6.54030
Angular momentum: 0
Closest approach: 1.0×10⁻⁴
Top speed: 248.4
Path length: 457.67
Alignments per period: 314
Topology: ababababababABABABABABAbabababababaBABABABABABAbabababababaBABABABABABababababababABABABABABABabababababaBABABABABABAbabababababaBABABABABABAbabababababABABABABABAB (free-group class)
Stability: weakly unstable (|λ|max 1.153)
Loop closure: 2.2×10⁻²⁴

Neighbours on the map

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