Three Body Orbits

Families / Belgrade classes

Moth IVa orbits

Broad, fringed wings built from many overlapping passes.

Moth IVa orbits are periodic solutions of the planar three-body problem. The atlas holds 36 of them, with periods from 14.89 to 98.87, all with equal masses; 3 of them are linearly stable. They come from Šuvakov & Dmitrašinović (2013), Three classes of Newtonian three-body planar periodic orbits. Every orbit is precomputed to machine precision and plays one period at a time; open one to watch it, nudge it or rate it.

Šuvakov & Dmitrašinović (2013). Three classes of Newtonian three-body planar periodic orbits. Physical Review Letters 110, 114301 (doi)

All 36 orbits