Atlas782 of 3,942

I.B.59

m₃ = 0.5

From Li & Liao (2017)

I.B.59 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 83.953 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 0.0000573 of each other at a top speed of 153, line up 132 times a period, and the computed loop closes to 7.0×10⁻²³.

Measured over one period

Period: 83.95318087
Masses: 1 : 1 : 0.5
Energy: -1.10645
Angular momentum: 0
Closest approach: 5.7×10⁻⁵
Top speed: 152.5
Path length: 196.58
Alignments per period: 132
Topology: abaBAbaBAbaBAbabABabABabABabABAbaBAbaBAbaBAbabABabABabABabaBAbaBAbaBAbaBABabABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.0×10⁻²³

Neighbours on the map

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