Atlas1,035 of 3,942

I.B.82

m₃ = 0.5

From Li & Liao (2017)

I.B.82 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 116.05 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 0.000224 of each other at a top speed of 77.2, line up 164 times a period, and the computed loop closes to 1.4×10⁻²³.

Measured over one period

Period: 116.0480068
Masses: 1 : 1 : 0.5
Energy: -1.04930
Angular momentum: 0
Closest approach: 2.2×10⁻⁴
Top speed: 77.16
Path length: 276.09
Alignments per period: 164
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBABabABabABabABabABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.4×10⁻²³

Neighbours on the map

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