Atlas962 of 3,942

I.B.5

m₃ = 5

From Li & Liao (2017)

I.B.5 m₃ = 5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 5 that return to their starting positions and velocities every 105.33 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.001), so a small nudge only makes it wobble. The bodies pass within 0.0000912 of each other at a top speed of 302, line up 376 times a period, and the computed loop closes to 9.4×10⁻²⁴.

Measured over one period

Period: 105.3306843
Masses: 1 : 1 : 5
Energy: -8.99286
Angular momentum: 0
Closest approach: 9.1×10⁻⁵
Top speed: 302.3
Path length: 454.10
Alignments per period: 376
Topology: ababababababababaBABABABABABABABAbabababababababaBABABABABABABABAbabababababababaBABABABABABABABAbababababababababABABABABABABABABababababababababABABABABABABABABababababababababABABABABABABABAB (free-group class)
Stability: stable (|λ|max 1.001)
Loop closure: 9.4×10⁻²⁴

Neighbours on the map

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