Atlas23 of 3,915

Figure-8 V.7.D

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

Figure-8 V.7.D is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 35.043 time units, published by Šuvakov & Dmitrašinović (2013). Three equal masses chase each other along a single figure-eight curve, the most famous choreography. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.36 of each other at a top speed of 1.77, line up 42 times a period, and the computed loop closes to 9.2×10⁻³⁰.

Measured over one period

Period: 35.04308702
Masses: 1 : 1 : 1
Energy: -1.50430
Angular momentum: 0
Closest approach: 0.3605
Top speed: 1.774
Path length: 98.037
Alignments per period: 42
Stability: stable (|λ|max 1.000, published)
Loop closure: 9.2×10⁻³⁰

Neighbours on the map

All Figure-8 orbits, the families of periodic three-body orbits, or the atlas map.