Atlas1,266 of 3,915

I.B.12

From Li & Liao (2017)

I.B.12 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 42.364 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 5.234), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00705 of each other at a top speed of 11.9, line up 56 times a period, and the computed loop closes to 1.6×10⁻²⁷.

Measured over one period

Period: 42.36413982
Masses: 1 : 1 : 1
Energy: -1.57182
Angular momentum: 0
Closest approach: 0.007054
Top speed: 11.91
Path length: 110.46
Alignments per period: 56
Stability: weakly unstable (|λ|max 5.234)
Loop closure: 1.6×10⁻²⁷

Neighbours on the map

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