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II.C.55

From Li & Liao (2017)

II.C.55 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 76.075 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 1.783), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000423 of each other at a top speed of 48.6, line up 162 times a period, and the computed loop closes to 9.2×10⁻²⁵.

Measured over one period

Period: 76.07539430
Masses: 1 : 1 : 1
Energy: -2.11435
Angular momentum: 0
Closest approach: 4.2×10⁻⁴
Top speed: 48.63
Path length: 211.25
Alignments per period: 162
Stability: weakly unstable (|λ|max 1.783)
Loop closure: 9.2×10⁻²⁵

Neighbours on the map

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