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Free-fall F49

(1, 0.8, 0.6)

From Li & Liao (2019)

Free-fall F49 (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 7.2106 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 18817), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00039 of each other at a top speed of 47.9, line up 32 times a period, and the computed loop closes to 9.9×10⁻²⁵.

Measured over one period

Period: 7.210574967
Masses: 1 : 0.8 : 0.6
Energy: -2.24818
Angular momentum: 0
Closest approach: 3.9×10⁻⁴
Top speed: 47.92
Path length: 23.785
Alignments per period: 32
Topology: 0 (free-group class)
Stability: unstable (|λ|max 18817)
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.