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II.C.37

From Li & Liao (2017)

II.C.37 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 56.835 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.007), so a small nudge only makes it wobble. The bodies pass within 0.000787 of each other at a top speed of 35.6, line up 106 times a period, and the computed loop closes to 7.6×10⁻²⁶.

Measured over one period

Period: 56.83515998
Masses: 1 : 1 : 1
Energy: -1.94396
Angular momentum: 0
Closest approach: 7.9×10⁻⁴
Top speed: 35.64
Path length: 154.98
Alignments per period: 106
Stability: stable (|λ|max 1.007)
Loop closure: 7.6×10⁻²⁶

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.