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Free-fall F13

(0.6, 0.8, 1)

From Li & Liao (2019)

Free-fall F13 (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 1.9514 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 320.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000141 of each other at a top speed of 889, line up 30 times a period, and the computed loop closes to 2.8×10⁻²⁰.

Measured over one period

Period: 1.951353319
Masses: 0.6 : 0.8 : 1
Energy: -5.13493
Angular momentum: 0
Closest approach: 1.4×10⁻⁶
Top speed: 888.9
Path length: 8.0710
Alignments per period: 30
Stability: unstable (|λ|max 320.8)
Loop closure: 2.8×10⁻²⁰

Neighbours on the map

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