Atlas2,417 of 3,915

Free-fall F69

(1, 0.8, 0.6)

From Li & Liao (2019)

Free-fall F69 (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 10.363 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 11277), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000202 of each other at a top speed of 213, line up 66 times a period, and the computed loop closes to 1.4×10⁻²¹.

Measured over one period

Period: 10.36277175
Masses: 1 : 0.8 : 0.6
Energy: -2.85356
Angular momentum: 0
Closest approach: 2.0×10⁻⁵
Top speed: 212.7
Path length: 39.889
Alignments per period: 66
Stability: unstable (|λ|max 1.1×10⁵)
Loop closure: 1.4×10⁻²¹

Neighbours on the map

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