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Free-fall F30

(0.6, 0.8, 1)

From Li & Liao (2019)

Free-fall F30 (0.6, 0.8, 1) is a periodic orbit of the planar three-body problem: three masses in the ratio 0.6 : 0.8 : 1 that return to their starting positions and velocities every 12.581 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 8045), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000578 of each other at a top speed of 43.7, line up 60 times a period, and the computed loop closes to 9.9×10⁻²⁵.

Measured over one period

Period: 12.58091296
Masses: 0.6 : 0.8 : 1
Energy: -2.57238
Angular momentum: 0
Closest approach: 5.8×10⁻⁴
Top speed: 43.71
Path length: 42.292
Alignments per period: 60
Stability: unstable (|λ|max 8045)
Loop closure: 9.9×10⁻²⁵

Neighbours on the map

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