Atlas555 of 3,942

I.A.1

m₃ = 8

From Li, Jing & Liao (2018)

I.A.1 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 64.955 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 0.0000534 of each other at a top speed of 516, line up 298 times a period, and the computed loop closes to 7.5×10⁻²⁴.

Measured over one period

Period: 64.95459933
Masses: 1 : 1 : 8
Energy: -14.6629
Angular momentum: 0
Closest approach: 5.3×10⁻⁵
Top speed: 516.2
Path length: 357.06
Alignments per period: 298
Topology: abababababababababababababABABABABABABABABABABABABabababababababababababababABABABABABABABABABABABABABababababababababababababABABABABABABABABABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.5×10⁻²⁴

Neighbours on the map

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