Atlas794 of 3,942

I.B.15

m₃ = 0.5

From Li & Liao (2017)

I.B.15 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 33.794 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.088), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000627 of each other at a top speed of 46.1, line up 52 times a period, and the computed loop closes to 5.5×10⁻²⁵.

Measured over one period

Period: 33.79444987
Masses: 1 : 1 : 0.5
Energy: -1.09312
Angular momentum: 0
Closest approach: 6.3×10⁻⁴
Top speed: 46.11
Path length: 79.170
Alignments per period: 52
Topology: abaBAbaBAbaBAbaBAbabABabABabABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.088)
Loop closure: 5.5×10⁻²⁵

Neighbours on the map

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