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An observational frame of reference, often referred to as a physical frame of reference, a frame of reference, or simply a frame, is a physical concept related to an observer and the observer's state of motion. Here we adopt the view expressed by Kumar and Barve: an observational frame of reference is characterized only by its state of motion. [19]
A projective frame on n-dimensional projective space is an ordered collection of n+2 points such that any subset of n+1 points is linearly independent. Frame fields in general relativity are four-dimensional frames, or vierbeins, in German. In each of these examples, the collection of all frames is homogeneous in a certain sense.
The Lagrangian and Eulerian specifications of the flow field are sometimes loosely denoted as the Lagrangian and Eulerian frame of reference. However, in general both the Lagrangian and Eulerian specification of the flow field can be applied in any observer's frame of reference , and in any coordinate system used within the chosen frame of ...
An accelerated frame of reference is often delineated as being the "primed" frame, and all variables that are dependent on that frame are notated with primes, e.g. x′, y′, a′. The vector from the origin of an inertial reference frame to the origin of an accelerated reference frame is commonly notated as R .
For a particle in planar motion, one approach to attaching physical significance to these terms is based on the concept of an instantaneous co-rotating frame of reference. [20] To define a co-rotating frame, first an origin is selected from which the distance r ( t ) to the particle is defined.
In an inertial reference frame a free particle has a straight world line. In a non-inertial reference frame the world line of a free particle is curved. Take the example of the fall of an object dropped without initial velocity from a rocket. The rocket has a uniformly accelerated motion with respect to an inertial reference frame.
In physics, a frame of reference is often a useful way of defining a particular state of motion, the expected properties of a set of objects with a common state of motion, or how physics may appear to an observer with a state of motion. It is usually used to define a coordinate system that can be used as a reference for measurements and ...
A geodetic datum or geodetic system (also: geodetic reference datum, geodetic reference system, or geodetic reference frame, or terrestrial reference frame) is a global datum reference or reference frame for unambiguously representing the position of locations on Earth by means of either geodetic coordinates (and related vertical coordinates) or geocentric coordinates. [1]