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II.C.248

From Li & Liao (2017)

II.C.248 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 108.45 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 2.525), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000909 of each other at a top speed of 332, line up 192 times a period, and the computed loop closes to 2.1×10⁻¹⁶.

Measured over one period

Period: 108.4524335
Masses: 1 : 1 : 1
Energy: -1.85515
Angular momentum: 0
Closest approach: 9.1×10⁻⁶
Top speed: 331.7
Path length: 268.66
Alignments per period: 192
Stability: weakly unstable (|λ|max 2.525)
Loop closure: 2.1×10⁻¹⁶

Neighbours on the map

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