Atlas786 of 3,942

I.B.110

m₃ = 0.5

From Li & Liao (2017)

I.B.110 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 134.63 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000897 of each other at a top speed of 386, line up 220 times a period, and the computed loop closes to 6.0×10⁻²².

Measured over one period

Period: 134.6253858
Masses: 1 : 1 : 0.5
Energy: -1.12842
Angular momentum: 0
Closest approach: 9.0×10⁻⁶
Top speed: 385.6
Path length: 311.91
Alignments per period: 220
Topology: abaBAbaBAbabABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 6.0×10⁻²²

Neighbours on the map

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