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II.C.243

From Li & Liao (2017)

II.C.243 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 93.938 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 230.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000861 of each other at a top speed of 34.1, line up 178 times a period, and the computed loop closes to 6.0×10⁻²⁵.

Measured over one period

Period: 93.93812082
Masses: 1 : 1 : 1
Energy: -1.98224
Angular momentum: 0
Closest approach: 8.6×10⁻⁴
Top speed: 34.08
Path length: 267.45
Alignments per period: 178
Stability: unstable (|λ|max 230.9)
Loop closure: 6.0×10⁻²⁵

Neighbours on the map

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