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Free-fall F6

From Li & Liao (2019)

Free-fall F6 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 4.8672 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 9343), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000486 of each other at a top speed of 454, line up 24 times a period, and the computed loop closes to 2.6×10⁻²².

Measured over one period

Period: 4.867200299
Masses: 1 : 1 : 1
Energy: -3.77994
Angular momentum: 0
Closest approach: 4.9×10⁻⁶
Top speed: 454.0
Path length: 18.231
Alignments per period: 24
Topology: 0 (free-group class)
Stability: unstable (|λ|max 9343)
Loop closure: 2.6×10⁻²²

Neighbours on the map

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