Atlas1,078 of 3,942

I.B.55

m₃ = 0.5

From Li & Liao (2017)

I.B.55 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 91.295 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 0.000279 of each other at a top speed of 69.1, line up 128 times a period, and the computed loop closes to 8.2×10⁻²³.

Measured over one period

Period: 91.29528469
Masses: 1 : 1 : 0.5
Energy: -1.04484
Angular momentum: 0
Closest approach: 2.8×10⁻⁴
Top speed: 69.08
Path length: 217.07
Alignments per period: 128
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBABabABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 8.2×10⁻²³

Neighbours on the map

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