Atlas601 of 3,942

I.A.2

m₃ = 8

From Li, Jing & Liao (2018)

I.A.2 m₃ = 8 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 8 that return to their starting positions and velocities every 110.15 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 unstable (largest Floquet multiplier 11.97), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000153 of each other at a top speed of 304, line up 478 times a period, and the computed loop closes to 4.4×10⁻²⁴.

Measured over one period

Period: 110.1464504
Masses: 1 : 1 : 8
Energy: -14.1364
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 304.4
Path length: 611.22
Alignments per period: 478
Topology: ababababababababababababaBABABABABABABABABABABABAbababababababababababababABABABABABABABABABABABABababababababababababababABABABABABABABABABABABABAbabababababababababababaBABABABABABABABABABABABABababababababababababababABABABABABABABABABABABAB (free-group class)
Stability: unstable (|λ|max 11.97)
Loop closure: 4.4×10⁻²⁴

Neighbours on the map

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