Atlas1,203 of 3,915

I.B.27

m₃ = 2

From Li & Liao (2017)

I.B.27 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 101.07 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 8.391), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00052 of each other at a top speed of 71.5, line up 208 times a period, and the computed loop closes to 1.4×10⁻²⁴.

Measured over one period

Period: 101.0708628
Masses: 1 : 1 : 2
Energy: -3.33592
Angular momentum: 0
Closest approach: 5.2×10⁻⁴
Top speed: 71.48
Path length: 322.72
Alignments per period: 208
Stability: weakly unstable (|λ|max 8.391)
Loop closure: 1.4×10⁻²⁴

Neighbours on the map

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