Atlas1,036 of 3,942

I.B.64

m₃ = 0.5

From Li & Liao (2017)

I.B.64 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 102.38 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.956), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00167 of each other at a top speed of 28.2, line up 140 times a period, and the computed loop closes to 6.2×10⁻²⁵.

Measured over one period

Period: 102.3821091
Masses: 1 : 1 : 0.5
Energy: -1.02716
Angular momentum: 0
Closest approach: 0.001672
Top speed: 28.22
Path length: 241.18
Alignments per period: 140
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBABabABabABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.956)
Loop closure: 6.2×10⁻²⁵

Neighbours on the map

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