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II.C.209

From Li & Liao (2017)

II.C.209 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 60.038 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 367), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000102 of each other at a top speed of 99.3, line up 104 times a period, and the computed loop closes to 4.6×10⁻²⁴.

Measured over one period

Period: 60.03764706
Masses: 1 : 1 : 1
Energy: -1.89142
Angular momentum: 0
Closest approach: 1.0×10⁻⁴
Top speed: 99.30
Path length: 173.87
Alignments per period: 104
Stability: unstable (|λ|max 3670)
Loop closure: 4.6×10⁻²⁴

Neighbours on the map

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