Atlas958 of 3,915

I.B.43

m₃ = 2

From Li & Liao (2017)

I.B.43 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 114.81 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 3.332), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000304 of each other at a top speed of 93.8, line up 308 times a period, and the computed loop closes to 1.2×10⁻²⁴.

Measured over one period

Period: 114.8148902
Masses: 1 : 1 : 2
Energy: -3.94714
Angular momentum: 0
Closest approach: 3.0×10⁻⁴
Top speed: 93.79
Path length: 364.87
Alignments per period: 308
Stability: weakly unstable (|λ|max 3.332)
Loop closure: 1.2×10⁻²⁴

Neighbours on the map

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