Atlas793 of 3,915

I.B.69

m₃ = 0.5

From Li & Liao (2017)

I.B.69 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 92.324 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 0.0000541 of each other at a top speed of 157, line up 144 times a period, and the computed loop closes to 3.0×10⁻²³.

Measured over one period

Period: 92.32350748
Masses: 1 : 1 : 0.5
Energy: -1.10191
Angular momentum: 0
Closest approach: 5.4×10⁻⁵
Top speed: 157.0
Path length: 216.52
Alignments per period: 144
Stability: stable (|λ|max 1.000)
Loop closure: 3.0×10⁻²³

Neighbours on the map

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