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II.C.291

From Li & Liao (2017)

II.C.291 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 180.76 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 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000261 of each other at a top speed of 619, line up 380 times a period, and the computed loop closes to 1.0×10⁻¹⁹.

Measured over one period

Period: 180.7565986
Masses: 1 : 1 : 1
Energy: -2.08204
Angular momentum: 0
Closest approach: 2.6×10⁻⁶
Top speed: 619.4
Path length: 477.19
Alignments per period: 380
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.0×10⁻¹⁹

Neighbours on the map

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