Harmonic motion
Encyclopedia
Harmonic motion can mean:
- The motion of a Harmonic oscillatorHarmonic oscillatorIn classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force, F, proportional to the displacement, x: \vec F = -k \vec x \, where k is a positive constant....
(in physicsPhysicsPhysics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...
), which can be:- Simple harmonic motionSimple harmonic motionSimple harmonic motion can serve as a mathematical model of a variety of motions, such as the oscillation of a spring. Additionally, other phenomena can be approximated by simple harmonic motion, including the motion of a simple pendulum and molecular vibration....
- Complex harmonic motionComplex harmonic motionComplex harmonic motion occurs when a number of simple harmonic motions are combined.Chords in music are an example of this phenomenon.Any continuous periodic function can be represented as a complex harmonic motion using its fourier series....
- Simple harmonic motion
- Keplers laws of planetary motion (in physicsPhysicsPhysics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...
, known as the harmonic law) - Quasi-harmonic motion: Unit hyperbola#Parametrization
- Musica universalisMusica universalisMusica universalis is an ancient philosophical concept that regards proportions in the movements of celestial bodies—the Sun, Moon, and planets—as a form of musica . This 'music' is not usually thought to be literally audible, but a harmonic and/or mathematical and/or religious concept...
(in medieval astronomyAstronomyAstronomy is a natural science that deals with the study of celestial objects and phenomena that originate outside the atmosphere of Earth...
, the music of the spheres) - Chord progressionChord progressionA chord progression is a series of musical chords, or chord changes that "aims for a definite goal" of establishing a tonality founded on a key, root or tonic chord. In other words, the succession of root relationships...
(in musicMusicMusic is an art form whose medium is sound and silence. Its common elements are pitch , rhythm , dynamics, and the sonic qualities of timbre and texture...
, harmonic progression)