Atlas2,347 of 3,915

Free-fall F10

(1, 0.8, 0.4)

From Li & Liao (2019)

Free-fall F10 (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 3.343 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 13503), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000265 of each other at a top speed of 2, line up 20 times a period, and the computed loop closes to 1.0×10⁻²².

Measured over one period

Period: 3.343016699
Masses: 1 : 0.8 : 0.4
Energy: -1.97170
Angular momentum: 0
Closest approach: 2.7×10⁻⁵
Top speed: 200.4
Path length: 10.487
Alignments per period: 20
Stability: unstable (|λ|max 13503)
Loop closure: 1.0×10⁻²²

Neighbours on the map

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