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Free-fall F28

(1, 0.8, 0.8)

From Li & Liao (2019)

Free-fall F28 (1, 0.8, 0.8) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 0.8 : 0.8 that return to their starting positions and velocities every 13.314 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 89028), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000661 of each other at a top speed of 13, line up 98 times a period, and the computed loop closes to 1.1×10⁻²².

Measured over one period

Period: 13.31388345
Masses: 1 : 0.8 : 0.8
Energy: -3.73609
Angular momentum: 0
Closest approach: 6.6×10⁻⁵
Top speed: 129.5
Path length: 52.724
Alignments per period: 98
Stability: unstable (|λ|max 89028)
Loop closure: 1.1×10⁻²²

Neighbours on the map

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