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Transformations between inertial and rotating frames of reference

1979/09/01 by D G Ashworth, P.A. Davies · 1 citation
Physics and Astronomy · Decision Sciences · Mathematics · Engineering · #Experimental and Theoretical Physics Studies #Relativity and Gravitational Theory #Scientific Measurement and Uncertainty Evaluation #Inertial frame of reference #Lorentz transformation #Metric (unit) #Frame of reference #Transformation (genetics) #Tensor (intrinsic definition) #Frame (networking) #Rotating reference frame #Classical mechanics #Reference frame #Coordinate system #Massless particle #Mathematics #Physics #Mathematical analysis #Geometry #Engineering #Mathematical physics #Mechanical engineering

paper · pdf · doi:10.1088/0305-4470/12/9/011

openalex publication_date 1979/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The problem of relating measurements made in an inertial (laboratory) frame to measurements made in a rotating frame is attacked through the derivation from first principles of the appropriate transformation equations. These are then used to derive a metric for a rotating system in which the energy tensor is everywhere zero, i.e. a rotating massless system. This metric is used to obtain descriptions of a variety of phenomena in rotating systems. Similarities between results produced by the metric approach and results produced by the technique of associating linearly-moving Lorentz frames instantaneously with points within the rotating system are indicated. Emphasis is laid throughout upon the way in which measurements made by different techniques are interpreted and related.

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