Atlas1,055 of 3,942

I.B.2

m₃ = 8

From Li & Liao (2017)

I.B.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 87.395 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000341 of each other at a top speed of 2042, line up 388 times a period, and the computed loop closes to 1.0×10⁻²⁰.

Measured over one period

Period: 87.39502860
Masses: 1 : 1 : 8
Energy: -14.3499
Angular momentum: 0
Closest approach: 3.4×10⁻⁶
Top speed: 2042
Path length: 485.16
Alignments per period: 388
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.0×10⁻²⁰

Neighbours on the map

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