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Free-fall F7

(0.393, 0.288, 0.662)

From Li & Liao (2019)

Free-fall F7 (0.393, 0.288, 0.662) is a periodic orbit of the planar three-body problem: three masses in the ratio 0.393 : 0.288 : 0.662 that return to their starting positions and velocities every 4.6269 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 29537), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000545 of each other at a top speed of 13, line up 26 times a period, and the computed loop closes to 7.8×10⁻²².

Measured over one period

Period: 4.626913304
Masses: 0.393 : 0.288 : 0.662
Energy: -1.01747
Angular momentum: 0
Closest approach: 5.5×10⁻⁵
Top speed: 130.2
Path length: 13.121
Alignments per period: 26
Topology: 0 (free-group class)
Stability: unstable (|λ|max 29537)
Loop closure: 7.8×10⁻²²

Neighbours on the map

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