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Free-fall F2

(0.6, 0.8, 1)

From Li & Liao (2019)

Free-fall F2 (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 2.8891 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 150.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000533 of each other at a top speed of 153, line up 18 times a period, and the computed loop closes to 1.0×10⁻¹⁷.

Measured over one period

Period: 2.889108528
Masses: 0.6 : 0.8 : 1
Energy: -2.88994
Angular momentum: 0
Closest approach: 5.3×10⁻⁵
Top speed: 153.3
Path length: 9.7406
Alignments per period: 18
Stability: unstable (|λ|max 150.7)
Loop closure: 1.0×10⁻¹⁷

Neighbours on the map

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