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II.C.261

From Li & Liao (2017)

II.C.261 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 117.11 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 658.2), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000383 of each other at a top speed of 51.2, line up 250 times a period, and the computed loop closes to 4.9×10⁻²⁵.

Measured over one period

Period: 117.1126561
Masses: 1 : 1 : 1
Energy: -2.12550
Angular momentum: 0
Closest approach: 3.8×10⁻⁴
Top speed: 51.17
Path length: 331.72
Alignments per period: 250
Stability: unstable (|λ|max 658.2)
Loop closure: 4.9×10⁻²⁵

Neighbours on the map

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