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II.C.185

From Li & Liao (2017)

II.C.185 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 173.19 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 6.374), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000782 of each other at a top speed of 358, line up 384 times a period, and the computed loop closes to 2.1×10⁻²¹.

Measured over one period

Period: 173.1881049
Masses: 1 : 1 : 1
Energy: -2.15549
Angular momentum: 0
Closest approach: 7.8×10⁻⁶
Top speed: 357.5
Path length: 462.45
Alignments per period: 384
Stability: weakly unstable (|λ|max 6.374)
Loop closure: 2.1×10⁻²¹

Neighbours on the map

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