Atlas114 of 3,915

Moth IVa.13.B

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

Moth IVa.13.B is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 88.515 time units, published by Šuvakov & Dmitrašinović (2013). Broad, fringed wings built from many overlapping passes. It is unstable (largest Floquet multiplier 52.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0328 of each other at a top speed of 5.53, line up 82 times a period, and the computed loop closes to 6.8×10⁻²⁸.

Measured over one period

Period: 88.51526228
Masses: 1 : 1 : 1
Energy: -1.26529
Angular momentum: 0
Closest approach: 0.03281
Top speed: 5.530
Path length: 224.56
Alignments per period: 82
Stability: unstable (|λ|max 52.70)
Loop closure: 6.8×10⁻²⁸

Neighbours on the map

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