Atlas1,120 of 3,942

I.B.123

m₃ = 0.5

From Li & Liao (2017)

I.B.123 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 175.39 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 0.0000639 of each other at a top speed of 145, line up 232 times a period, and the computed loop closes to 6.8×10⁻²³.

Measured over one period

Period: 175.3905473
Masses: 1 : 1 : 0.5
Energy: -1.01319
Angular momentum: 0
Closest approach: 6.4×10⁻⁵
Top speed: 144.5
Path length: 415.88
Alignments per period: 232
Topology: aaBAbaBAbaBAbaBAbabABabABabABabAAbaBAbaBAbaBAbabABabABabABabABaaBAbaBAbaBAbaBABabABabABabABabAAbaBAbaBAbaBAbabABabABabABabAAbaBAbaBAbaBAbaBABabABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 6.8×10⁻²³

Neighbours on the map

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