Atlas938 of 3,942

I.B.47

m₃ = 0.5

From Li & Liao (2017)

I.B.47 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 75.62 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 0.000193 of each other at a top speed of 83.2, line up 112 times a period, and the computed loop closes to 3.4×10⁻²⁴.

Measured over one period

Period: 75.61954938
Masses: 1 : 1 : 0.5
Energy: -1.07270
Angular momentum: 0
Closest approach: 1.9×10⁻⁴
Top speed: 83.16
Path length: 178.44
Alignments per period: 112
Topology: abaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.4×10⁻²⁴

Neighbours on the map

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