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Free-fall F63

(1, 0.8, 0.6)

From Li & Liao (2019)

Free-fall F63 (1, 0.8, 0.6) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 0.8 : 0.6 that return to their starting positions and velocities every 9.3056 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 396.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00426 of each other at a top speed of 13.9, line up 46 times a period, and the computed loop closes to 2.6×10⁻²⁶.

Measured over one period

Period: 9.305592422
Masses: 1 : 0.8 : 0.6
Energy: -2.21315
Angular momentum: 0
Closest approach: 0.004264
Top speed: 13.93
Path length: 31.282
Alignments per period: 46
Stability: unstable (|λ|max 396.6)
Loop closure: 2.6×10⁻²⁶

Neighbours on the map

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