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Free-fall F20

(1, 0.8, 0.8)

From Li & Liao (2019)

Free-fall F20 (1, 0.8, 0.8) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 0.8 : 0.8 that return to their starting positions and velocities every 8.5572 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 39489), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0015 of each other at a top speed of 27.5, line up 46 times a period, and the computed loop closes to 4.7×10⁻²⁵.

Measured over one period

Period: 8.557180787
Masses: 1 : 0.8 : 0.8
Energy: -3.06630
Angular momentum: 0
Closest approach: 0.001502
Top speed: 27.51
Path length: 31.386
Alignments per period: 46
Stability: unstable (|λ|max 39489)
Loop closure: 4.7×10⁻²⁵

Neighbours on the map

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