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Kinematics is the branch of classical mechanics which describes the motion of points, bodies (objects) and systems of bodies (groups of objects) without looking at the cause of this motion.^[1][2][3] The term was translated from French;A.M. Ampère used the term cinématique.^[4] He constructed the term form theGreek κίνημα, kinema (movement, motion), derived from κινεῖν, kinein (to move).^[5][6] The study of kinematics is often referred to as the geometry of motion.^[7]

To describe motion, kinematics studies the paths of points, lines and othergeometric objects in space, and some of their properties such as velocity andacceleration. Astrophysics uses kinematics to describe the motion of celestial bodies and systems. Mechanical engineering, robotics and biomechanics use it to describe the motion of systems composed of joined parts such as an engine, a robotic arm or the skeleton of the human body.^[8]

The study of kinematics can be abstracted into purely mathematical functions. It is possible to represent rotation with elements of the unit circle in thecomplex plane. Other planar algebras are used to represent the shear mappingof classical motion in absolute time and space and to represent the Lorentz transformations of relativistic space and time. Mathematicians have developed a science of kinematic geometry, which uses time as a parameter.

Certain geometric transformations which are called rigid transformations have been developed to describe the movement of components of a mechanical system. These transformations simplify the derivation of its equations of motion, and is central to dynamic analysis.

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