Atlas1,189 of 3,942

I.B.111

m₃ = 0.5

From Li & Liao (2017)

I.B.111 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 105.17 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 326.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000317 of each other at a top speed of 64.8, line up 216 times a period, and the computed loop closes to 2.5×10⁻²³.

Measured over one period

Period: 105.1701998
Masses: 1 : 1 : 0.5
Energy: -1.35266
Angular momentum: 0
Closest approach: 3.2×10⁻⁴
Top speed: 64.84
Path length: 283.20
Alignments per period: 216
Topology: aabAbaBABabABabABabABabABabABabAAbbAAbaBAbaBAbaBAbaBAbaBAbaBABabAbaaBBaBAAbbABaaBAbaBAbaBAbaBAbaBAbaBAbabAbabABabABabABabABabABabABaaBAbbAABaBB (free-group class)
Stability: unstable (|λ|max 326.1)
Loop closure: 2.5×10⁻²³

Neighbours on the map

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