Atlas918 of 3,915

I.B.19

m₃ = 2

From Li & Liao (2017)

I.B.19 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 64.03 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.005), so a small nudge only makes it wobble. The bodies pass within 0.0000659 of each other at a top speed of 201, line up 160 times a period, and the computed loop closes to 2.2×10⁻²³.

Measured over one period

Period: 64.02972991
Masses: 1 : 1 : 2
Energy: -3.75805
Angular momentum: 0
Closest approach: 6.6×10⁻⁵
Top speed: 201.2
Path length: 192.75
Alignments per period: 160
Stability: stable (|λ|max 1.005)
Loop closure: 2.2×10⁻²³

Neighbours on the map

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