Atlas1,308 of 3,915

I.B.7

m₃ = 2

From Li & Liao (2017)

I.B.7 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 48.544 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 0.0022 of each other at a top speed of 34.8, line up 68 times a period, and the computed loop closes to 1.1×10⁻²⁵.

Measured over one period

Period: 48.54387723
Masses: 1 : 1 : 2
Energy: -2.59820
Angular momentum: 0
Closest approach: 0.002205
Top speed: 34.77
Path length: 141.37
Alignments per period: 68
Stability: stable (|λ|max 1.000)
Loop closure: 1.1×10⁻²⁵

Neighbours on the map

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