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Free-fall F68

(1, 0.8, 0.6)

From Li & Liao (2019)

Free-fall F68 (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 6.9892 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 56142), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000458 of each other at a top speed of 165, line up 50 times a period, and the computed loop closes to 1.3×10⁻²².

Measured over one period

Period: 6.989177144
Masses: 1 : 0.8 : 0.6
Energy: -3.09830
Angular momentum: 0
Closest approach: 4.6×10⁻⁵
Top speed: 164.9
Path length: 26.735
Alignments per period: 50
Stability: unstable (|λ|max 56142)
Loop closure: 1.3×10⁻²²

Neighbours on the map

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