Atlas3,762 of 3,942

Family NF.51

From Hristov, Hristova, Puzynin, Puzynina, Sharipov & Tukhliev (2022)

Family NF.51 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 26.431 time units, published by Hristov, Hristova, Puzynin, Puzynina, Sharipov & Tukhliev (2022). Orbits from topological families that no earlier catalogue contained; all of them unstable. It is unstable (largest Floquet multiplier 21757), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00663 of each other at a top speed of 12.4, line up 70 times a period, and the computed loop closes to 4.4×10⁻²⁵.

Measured over one period

Period: 26.43080795
Masses: 1 : 1 : 1
Energy: -2.41348
Angular momentum: 0
Closest approach: 0.006626
Top speed: 12.40
Path length: 75.162
Alignments per period: 70
Topology: aabABABabbaBAABababABBAbaabABABabbaBABAb (free-group class)
Stability: unstable (|λ|max 21757)
Loop closure: 4.4×10⁻²⁵

Neighbours on the map

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