Atlas965 of 3,915

I.B.34

m₃ = 2

From Li & Liao (2017)

I.B.34 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 103.95 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.050), so a small nudge only makes it wobble. The bodies pass within 0.0000186 of each other at a top speed of 379, line up 256 times a period, and the computed loop closes to 3.8×10⁻²¹.

Measured over one period

Period: 103.9534810
Masses: 1 : 1 : 2
Energy: -3.72842
Angular momentum: 0
Closest approach: 1.9×10⁻⁵
Top speed: 378.8
Path length: 321.99
Alignments per period: 256
Stability: stable (|λ|max 1.050)
Loop closure: 3.8×10⁻²¹

Neighbours on the map

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