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Free-fall F43

(1, 0.8, 0.4)

From Li & Liao (2019)

Free-fall F43 (1, 0.8, 0.4) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 0.8 : 0.4 that return to their starting positions and velocities every 5.911 time units, published by Li & Liao (2019). Three bodies released from rest fall together, swing past each other and return to rest exactly where they started. It is unstable (largest Floquet multiplier 185), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00145 of each other at a top speed of 26.9, line up 34 times a period, and the computed loop closes to 4.0×10⁻²⁵.

Measured over one period

Period: 5.911043960
Masses: 1 : 0.8 : 0.4
Energy: -2.22954
Angular momentum: 0
Closest approach: 0.001451
Top speed: 26.86
Path length: 22.424
Alignments per period: 34
Stability: unstable (|λ|max 18500)
Loop closure: 4.0×10⁻²⁵

Neighbours on the map

All Free-fall orbits, the families of periodic three-body orbits, or the atlas map.