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II.C.53

From Li & Liao (2017)

II.C.53 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 98.433 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 9.018), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000861 of each other at a top speed of 34.1, line up 150 times a period, and the computed loop closes to 2.7×10⁻²⁵.

Measured over one period

Period: 98.43321450
Masses: 1 : 1 : 1
Energy: -1.71983
Angular momentum: 0
Closest approach: 8.6×10⁻⁴
Top speed: 34.07
Path length: 264.63
Alignments per period: 150
Stability: weakly unstable (|λ|max 9.018)
Loop closure: 2.7×10⁻²⁵

Neighbours on the map

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