Atlas988 of 3,942

I.B.106

m₃ = 0.5

From Li & Liao (2017)

I.B.106 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 143.18 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 0.000129 of each other at a top speed of 102, line up 208 times a period, and the computed loop closes to 4.6×10⁻²⁴.

Measured over one period

Period: 143.1821021
Masses: 1 : 1 : 0.5
Energy: -1.06167
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 101.5
Path length: 338.32
Alignments per period: 208
Topology: abaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.6×10⁻²⁴

Neighbours on the map

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