Atlas1,284 of 3,915

I.B.15

m₃ = 2

From Li & Liao (2017)

I.B.15 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 82.437 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 112.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00219 of each other at a top speed of 34.9, line up 128 times a period, and the computed loop closes to 1.9×10⁻²⁵.

Measured over one period

Period: 82.43652683
Masses: 1 : 1 : 2
Energy: -2.76217
Angular momentum: 0
Closest approach: 0.002195
Top speed: 34.87
Path length: 237.56
Alignments per period: 128
Stability: unstable (|λ|max 112.4)
Loop closure: 1.9×10⁻²⁵

Neighbours on the map

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