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II.C.103

From Li & Liao (2017)

II.C.103 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 133 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 2021), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000641 of each other at a top speed of 39.5, line up 156 times a period, and the computed loop closes to 4.7×10⁻²⁵.

Measured over one period

Period: 133.0040984
Masses: 1 : 1 : 1
Energy: -1.44694
Angular momentum: 0
Closest approach: 6.4×10⁻⁴
Top speed: 39.55
Path length: 329.29
Alignments per period: 156
Stability: unstable (|λ|max 2021)
Loop closure: 4.7×10⁻²⁵

Neighbours on the map

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