Atlas2,530 of 3,942

Free-fall F25

(1, 0.8, 0.8)

From Li & Liao (2019)

Free-fall F25 (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 9.2986 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 6941), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000834 of each other at a top speed of 106, line up 72 times a period, and the computed loop closes to 2.7×10⁻²³.

Measured over one period

Period: 9.298638276
Masses: 1 : 0.8 : 0.8
Energy: -3.82473
Angular momentum: 0
Closest approach: 8.3×10⁻⁵
Top speed: 106.3
Path length: 36.423
Alignments per period: 72
Topology: 0 (free-group class)
Stability: unstable (|λ|max 6941)
Loop closure: 2.7×10⁻²³

Neighbours on the map

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