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II.C.173

From Li & Liao (2017)

II.C.173 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 192.02 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 1.434), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000214 of each other at a top speed of 683, line up 302 times a period, and the computed loop closes to 9.8×10⁻²⁰.

Measured over one period

Period: 192.0213588
Masses: 1 : 1 : 1
Energy: -1.74201
Angular momentum: 0
Closest approach: 2.1×10⁻⁶
Top speed: 682.7
Path length: 504.36
Alignments per period: 302
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.434)
Loop closure: 9.8×10⁻²⁰

Neighbours on the map

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