Atlas1,086 of 3,942

I.B.90

m₃ = 0.5

From Li & Liao (2017)

I.B.90 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 141.51 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 55.56), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00135 of each other at a top speed of 31.4, line up 180 times a period, and the computed loop closes to 6.9×10⁻²⁵.

Measured over one period

Period: 141.5123221
Masses: 1 : 1 : 0.5
Energy: -0.984286
Angular momentum: 0
Closest approach: 0.001351
Top speed: 31.40
Path length: 329.05
Alignments per period: 180
Topology: aaBAbaBAbaBAbaBAbaBAbaBABabABabABabABabABaaBAbaBAbaBAbaBAbaBABabABabABabABabABabABaaBAbaBAbaBAbaBAbaBABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 55.56)
Loop closure: 6.9×10⁻²⁵

Neighbours on the map

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