Atlas944 of 3,942

I.B.53

m₃ = 0.5

From Li & Liao (2017)

I.B.53 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 84.057 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 0.000175 of each other at a top speed of 87.4, line up 124 times a period, and the computed loop closes to 1.4×10⁻²⁴.

Measured over one period

Period: 84.05697084
Masses: 1 : 1 : 0.5
Energy: -1.07042
Angular momentum: 0
Closest approach: 1.7×10⁻⁴
Top speed: 87.38
Path length: 198.40
Alignments per period: 124
Topology: abaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.4×10⁻²⁴

Neighbours on the map

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