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II.C.235

From Li & Liao (2017)

II.C.235 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 164.55 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 25.71), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000678 of each other at a top speed of 38.4, line up 154 times a period, and the computed loop closes to 5.2×10⁻²⁵.

Measured over one period

Period: 164.5510403
Masses: 1 : 1 : 1
Energy: -1.26655
Angular momentum: 0
Closest approach: 6.8×10⁻⁴
Top speed: 38.40
Path length: 401.50
Alignments per period: 154
Stability: unstable (|λ|max 25.71)
Loop closure: 5.2×10⁻²⁵

Neighbours on the map

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