Atlas1,056 of 3,915

I.B.1

m₃ = 8

From Li & Liao (2017)

I.B.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 44.221 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 361.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000259 of each other at a top speed of 235, line up 200 times a period, and the computed loop closes to 1.0×10⁻²³.

Measured over one period

Period: 44.22054161
Masses: 1 : 1 : 8
Energy: -14.5193
Angular momentum: 0
Closest approach: 2.6×10⁻⁴
Top speed: 234.7
Path length: 246.70
Alignments per period: 200
Stability: unstable (|λ|max 361.7)
Loop closure: 1.0×10⁻²³

Neighbours on the map

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