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I.B.17

m₃ = 2

From Li & Liao (2017)

I.B.17 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 100.22 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 0.000219 of each other at a top speed of 11, line up 140 times a period, and the computed loop closes to 9.8×10⁻²⁵.

Measured over one period

Period: 100.2197830
Masses: 1 : 1 : 2
Energy: -2.59128
Angular momentum: 0
Closest approach: 2.2×10⁻⁴
Top speed: 110.4
Path length: 290.52
Alignments per period: 140
Stability: stable (|λ|max 1.000)
Loop closure: 9.8×10⁻²⁵

Neighbours on the map

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