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The Doppler shift considered in general relativity involves mixed contributions of distinct, gravitational and kinematical origins and for most metrics or trajectories it takes a complex form. The expression for the Doppler shift may…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Radosz , A. T. Augousti , K. Ostasiewicz

The well-known linear Doppler effect arises from the linear motion between source and observer, while the less well-known rotational Doppler effect arises from the rotational motion. Here, we present both theories and experiments…

Optics · Physics 2019-12-10 Liang Fang , Miles J. Padgett , Jian Wang

The formula for the frequency shift of a plane-polarized light wave reflected from a uniformly moving mirror is derived directly from the constant light speed postulate and the basic principles of wave optics. Unlike the original derivation…

Optics · Physics 2007-05-23 Aleksandar Gjurchinovski

The Doppler Effect associated with the reflection on a moving mirror is reduced to two Doppler Effect experiments involving the incoming incident ray and the outgoing reflected ray or vice-versa. The dependence of the corresponding Doppler…

General Physics · Physics 2008-12-04 Bernhard Rothenstein , Ioan Damian

A special case of the relativistic Doppler effect, which occurs when light reflects from a moving mirror, is discussed. The classic formula for the Doppler shift is derived in a fully non-relativistic fashion using basic facts from…

Physics Education · Physics 2007-05-23 Malik Rakhmanov

In the context of special relativity, we describe with detail the Doppler effect between a light source at rest and an observer in linear motion and constant proper acceleration. To have an Englis version of this article, ask the authors.…

Classical Physics · Physics 2008-08-04 F M Paiva , A F F Teixeira

Doppler shift formulas are derived for two less studied scenarios: stationary receiver and source in harmonic oscillatory motion and stationary receiver and source in uniform circular motion. For each of the scenarios we derive a formula,…

General Physics · Physics 2008-12-04 Bernhard Rothenstein , Albert Rothenstein

This paper shows as the relativistic Doppler effect can be extended also to time and space associated to moving bodies. This extension derives from the analysis of the wave-fronts of the light emitted by a moving source in inertial motion…

General Physics · Physics 2012-08-31 Giovanni Zanella

I propose an alternative, purely kinematical, derivation of Einstein's Doppler formula. It is valid for periodic signals of any shape that propagate with the velocity of light. The formula is asymptotic in a parameter proportional to the…

General Physics · Physics 2009-02-09 Jean Reignier

The Doppler effect of light was implemented by interference with a reference wave to infer linear velocities in early manifestations, and more recently lateral and angular velocities with scalar phase structured light. A consequence of the…

Optics · Physics 2019-12-10 Liang Fang , Zhenyu Wan , Andrew Forbes , Jian Wang

Doppler effect and Hubble effect in different models of space-time in the case of auto-parallel motion of the observer are considered. The Doppler effect and shift frequency parameter are specialized for the case of auto-parallel motion of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sawa Manoff

The determination of velocities of stars from precise Doppler measurements is described here using relativistic theory of astronomical reference frames so as to determine the Keplerian and post-Keplerian parameters of binary systems. We…

Astrophysics · Physics 2009-10-31 S. M. Kopeikin , L. M. Ozernoy

A simple, analytical fitting-formula for a photometric light curve of a source of light orbiting around a black hole is presented. The formula is applicable for sources on a circular orbit with radius smaller than 45 gravitational radii…

Astrophysics · Physics 2009-10-28 V. Karas

We study Doppler effects in curved space-time, i.e. the frequency shifts induced on electromagnetic signals propagating in the gravitational field. In particular, we focus on the frequency shift due to the bending of light rays in weak…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Matteo Luca Ruggiero , Angelo Tartaglia , Lorenzo Iorio

Einstein's Doppler formula is not applicable when a moving point light source is close enough to the observer; for example, it may break down or cannot specify a determinate value when the point source and the observer overlap. In this…

General Physics · Physics 2012-04-10 Changbiao Wang

Classical Doppler Effect of light propagation can be calculated by making any one of the two assumptions a) Light propagates at the speed c with respect to the source or b) Light propagates at the speed c with respect to the receptor. We…

General Physics · Physics 2022-10-31 Chandru Iyer , G. M. Prabhu

Doppler effect and Hubble effect in different models of space-time related to the space-time velocity of an observer are considered. The Doppler effect and Doppler shift frequency parameter are connected with the kinematic characteristics…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sawa Manoff

Just as the ordinary Doppler effect serves as a tool to measure radial velocities of celestial objects, so can the relativistic Doppler effect be implemented to measure a combination of radial and transverse velocities by using recent…

Astrophysics · Physics 2016-01-13 Leonid M. Ozernoy

A new redshift formula is obtained considering the longitudinal Doppler effect in the de Sitter expanding universe where the relative geodesic motion is governed by the Lorenzian isometries of our new de Sitter relativity [I. I. Cot\u…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Ion I. Cotaescu

We describe the Doppler effect between equally accelerated light source and observer under the special relativity. The proper accelerations are constant and parallel. An English version is available by request. - - - - - - - - - - - Ni…

General Physics · Physics 2008-02-27 F. M. Paiva , A. F. F. Teixeira
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