Atlas57 of 3,942

Dragonfly II.11.A

From Šuvakov & Dmitrašinović (2013). Sequences of orbits from the Belgrade three-body gallery.

Dragonfly II.11.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 63.534 time units, published by Šuvakov & Dmitrašinović (2013). Slim, elongated wings that stretch far from the centre of mass. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0119 of each other at a top speed of 9.18, line up 66 times a period, and the computed loop closes to 1.2×10⁻²⁶.

Measured over one period

Period: 63.53435334
Masses: 1 : 1 : 1
Energy: -1.36375
Angular momentum: 0
Closest approach: 0.01191
Top speed: 9.177
Path length: 161.03
Alignments per period: 66
Topology: aaBAbaBAbaBAbbABabABabAAbaBAbaBAbaBBabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.2×10⁻²⁶

Neighbours on the map

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