Atlas919 of 3,942

I.B.1

m₃ = 10

From Li & Liao (2017)

I.B.1 m₃ = 10 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 10 that return to their starting positions and velocities every 47.704 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 0.0000351 of each other at a top speed of 72, line up 264 times a period, and the computed loop closes to 9.0×10⁻²³.

Measured over one period

Period: 47.70437413
Masses: 1 : 1 : 10
Energy: -19.3265
Angular momentum: 0
Closest approach: 3.5×10⁻⁵
Top speed: 720.0
Path length: 280.42
Alignments per period: 264
Topology: abababababababababababababababababABABABABABABABABABABABABABABABABAbababababababababababababababababaBABABABABABABABABABABABABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 9.0×10⁻²³

Neighbours on the map

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