Atlas2,343 of 3,942

Free-fall F23

(1, 0.8, 0.4)

From Li & Liao (2019)

Free-fall F23 (1, 0.8, 0.4) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 0.8 : 0.4 that return to their starting positions and velocities every 3.0196 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 301), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000113 of each other at a top speed of 307, line up 28 times a period, and the computed loop closes to 2.9×10⁻²².

Measured over one period

Period: 3.019626343
Masses: 1 : 0.8 : 0.4
Energy: -2.51509
Angular momentum: 0
Closest approach: 1.1×10⁻⁵
Top speed: 307.1
Path length: 10.508
Alignments per period: 28
Topology: 0 (free-group class)
Stability: unstable (|λ|max 3010)
Loop closure: 2.9×10⁻²²

Neighbours on the map

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