Atlas1,153 of 3,915

I.B.47

m₃ = 2

From Li & Liao (2017)

I.B.47 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 166.8 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.018), so a small nudge only makes it wobble. The bodies pass within 0.000131 of each other at a top speed of 143, line up 328 times a period, and the computed loop closes to 3.3×10⁻²⁴.

Measured over one period

Period: 166.7970949
Masses: 1 : 1 : 2
Energy: -3.22117
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 142.5
Path length: 503.61
Alignments per period: 328
Stability: stable (|λ|max 1.018)
Loop closure: 3.3×10⁻²⁴

Neighbours on the map

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