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Orbital resonance
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In celestial mechanics, orbital resonance occurs when orbiting bodies exert regular, periodic gravitational influence on each other, usually because their orbital periods are related by a ratio of sma
Spiral density waves in Saturn's A Ring excited by resonances with inner moons. Such waves propagate away from the planet (towards upper left). The la
Spiral density waves in Saturn's A Ring excited by resonances with inner moons. Such waves propagate away from the planet (towards upper left). The large set of waves just below center is due to the 6:5 resonance with Janus.
The eccentric Titan Ringlet in the Columbo Gap of Saturn's C Ring (center) and the inclined orbits of resonant particles in the bending wave just insi
The eccentric Titan Ringlet in the Columbo Gap of Saturn's C Ring (center) and the inclined orbits of resonant particles in the bending wave just inside it have apsidal and nodal precessions, respectively, commensurate with Titan's mean motion.
Depiction of the resonance between Neptune's moons Naiad (whose orbital motion is shown in red) and Thalassa, in a view that co-rotates with the latte
Depiction of the resonance between Neptune's moons Naiad (whose orbital motion is shown in red) and Thalassa, in a view that co-rotates with the latter
Musica universalis
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The musica universalis, also called music of the spheres or harmony of the spheres, is a philosophical concept that regards proportions in the movements of celestial bodies—the Sun, Moon, and planets—
Orbital resonance
…below). Before Newton, there was also consideration of ratios and proportions in orbital motions, in what was called "the music of the spheres", or musica universalis. The article on resonant interactions describes resonance in the general modern setting. A primary result from the study of dynamical systems is the…
Harmony of the World from Ebenezer Sibly's Astrology (1806)
Harmony of the World from Ebenezer Sibly's Astrology (1806)
Renaissance engraving (Gafurius's Practica musice, 1496) showing Apollo, the Muses, the planetary spheres and musical modes
Renaissance engraving (Gafurius's Practica musice, 1496) showing Apollo, the Muses, the planetary spheres and musical modes
Page from Kepler's Harmonices Mundi. The scales of each of the six known planets, and the moon, placed on five-line staffs.
Page from Kepler's Harmonices Mundi. The scales of each of the six known planets, and the moon, placed on five-line staffs.