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Moth IVa.15.B

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

Moth IVa.15.B is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 98.649 time units, published by Šuvakov & Dmitrašinović (2013). Broad, fringed wings built from many overlapping passes. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00275 of each other at a top speed of 19.1, line up 96 times a period, and the computed loop closes to 5.6×10⁻²⁶.

Measured over one period

Period: 98.64945956
Masses: 1 : 1 : 1
Energy: -1.30381
Angular momentum: 0
Closest approach: 0.002751
Top speed: 19.07
Path length: 247.34
Alignments per period: 96
Topology: abaBAbaBAbabABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 5.6×10⁻²⁶

Neighbours on the map

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