Atlas1,105 of 3,915

I.B.5

m₃ = 4

From Li & Liao (2017)

I.B.5 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 71.101 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 0.000128 of each other at a top speed of 224, line up 180 times a period, and the computed loop closes to 3.6×10⁻²⁴.

Measured over one period

Period: 71.10117758
Masses: 1 : 1 : 4
Energy: -6.14880
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 224.0
Path length: 278.23
Alignments per period: 180
Stability: stable (|λ|max 1.000)
Loop closure: 3.6×10⁻²⁴

Neighbours on the map

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