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Rotating reference frame information


A rotating frame of reference is a special case of a non-inertial reference frame that is rotating relative to an inertial reference frame. An everyday example of a rotating reference frame is the surface of the Earth. (This article considers only frames rotating about a fixed axis. For more general rotations, see Euler angles.)

In the inertial frame of reference (upper part of the picture), the black ball moves in a straight line. However, the observer (red dot) who is standing in the rotating/non-inertial frame of reference (lower part of the picture) sees the object as following a curved path due to the Coriolis and centrifugal forces present in this frame.

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Rotating reference frame

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A rotating frame of reference is a special case of a non-inertial reference frame that is rotating relative to an inertial reference frame. An everyday...

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Centrifugal force

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"pseudo" force) that appears to act on all objects when viewed in a rotating frame of reference. It is directed radially away from the axis of rotation. The...

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Inertial frame of reference

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In contrast, Newton's second law in a rotating frame of reference (a non-inertial frame of reference), rotating at angular rate Ω about an axis, takes...

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Frame of reference

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a frame of reference (or reference frame) is an abstract coordinate system whose origin, orientation, and scale are specified by a set of reference points―geometric...

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Fictitious force

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is described using a non-inertial frame of reference, such as a linearly accelerating or rotating reference frame. Fictitious forces are invoked to maintain...

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Coriolis force

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introducing these fictitious forces to a rotating frame of reference, Newton's laws of motion can be applied to the rotating system as though it were an inertial...

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Euler force

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non-uniformly rotating reference frame is used for analysis of motion and there is variation in the angular velocity of the reference frame's axes. The Euler...

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Celestial mechanics

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celestial mechanics are often posed in simplifying reference frames, such as the synodic reference frame applied to the three-body problem, where the origin...

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Transport theorem

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Euclidean vector as evaluated in a non-rotating coordinate system to its time derivative in a rotating reference frame. It has important applications in classical...

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Angular velocity

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{r}}-{{\boldsymbol {r}}_{0}})} Consider a rigid body rotating about a fixed point O. Construct a reference frame in the body consisting of an orthonormal set...

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Sunrise

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illusion of a moving Sun results from Earth observers being in a rotating reference frame; this apparent motion caused many cultures to have mythologies...

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Gravitational time dilation

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gravitational mass are the same, and all accelerated reference frames (such as a uniformly rotating reference frame with its proper time dilation) are physically...

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Kinetic energy

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due to its motion. In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is 1 2 m v 2 {\textstyle {\frac...

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Quantum reference frame

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Coriolis force (such frame is an example of non-inertial frame). Here, "rotating" means "rotating with respect to some inertial frame". Therefore, although...

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Euler angles

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axes of the rotating coordinate system XYZ, solidary with the moving body, which changes its orientation with respect to the extrinsic frame after each...

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Terrestrial reference frame

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A terrestrial reference frame (TRF) is the reference frame as one views from Earth, or from the surface of another Earth-like planet. A TRF affects the...

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Mechanics of planar particle motion

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(non-inertial) rotating frame. For example, if a rotating polar coordinate system is adopted for use in a rotating frame of observation, both rotating at the...

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Reactive centrifugal force

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exists only in the rotating frame of reference, the reactive force is a real Newtonian force that is observed in any reference frame. The two forces will...

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Momentum

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the net force acting on it. Momentum depends on the frame of reference, but in any inertial frame it is a conserved quantity, meaning that if a closed...

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Inertia

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inertia is rotational inertia (→ moment of inertia), the property that a rotating rigid body maintains its state of uniform rotational motion. Its angular...

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International Celestial Reference System and its realizations

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the context of the ICRS, a reference frame (RF) is the physical realization of a reference system, i.e., the reference frame is the set of numerical coordinates...

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Rigid body

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linear velocity) and angular velocity are measured with respect to a frame of reference. The linear velocity of a rigid body is a vector quantity, equal to...

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