Atlas1,290 of 3,915

I.B.4

m₃ = 2

From Li & Liao (2017)

I.B.4 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 27.3 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 8.033), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00526 of each other at a top speed of 22.4, line up 32 times a period, and the computed loop closes to 6.3×10⁻²⁶.

Measured over one period

Period: 27.30035014
Masses: 1 : 1 : 2
Energy: -2.31071
Angular momentum: 0
Closest approach: 0.005261
Top speed: 22.41
Path length: 75.489
Alignments per period: 32
Stability: weakly unstable (|λ|max 8.033)
Loop closure: 6.3×10⁻²⁶

Neighbours on the map

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