Doppler Relativístico

f = f₀·√((1+β)/(1−β)).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

f (Hz)
1.732.050.808 Hz

About this calculator

The Relativistic Doppler Calculator is an online tool that allows users to calculate the observed frequency of an electromagnetic wave emitted by a source in relative motion to an observer. The formula used is f = f₀·√((1+β)/(1−β)), where f is the observed frequency, f₀ is the emitted frequency, and β is the relative velocity of the source with respect to the speed of light.

The relativistic Doppler effect is a consequence of Albert Einstein's special theory of relativity. It describes how the frequency of an electromagnetic wave changes when the emitting source is moving at high speed relative to the observer. This is important in various fields, such as astronomy, where it is used to study the velocity of stars and galaxies.

When using the Relativistic Doppler Calculator, it is crucial to be mindful of the units of measurement and ensure that the relative velocity is expressed as a fraction of the speed of light. Additionally, it is essential to remember that the formula is only valid for relative velocities less than the speed of light.

Real-world applications include the study of binary stars and moving galaxies, as well as the analysis of data from particle physics experiments. The calculator is a useful tool for students, researchers, and professionals who need to perform quick and accurate calculations.

Frequently asked questions

What is the relativistic Doppler effect?

The relativistic Doppler effect is the change in frequency of an electromagnetic wave due to relative motion between the emitting source and the observer, described by Einstein's special theory of relativity.

What are the units of measurement for relative velocity?

Relative velocity should be expressed as a fraction of the speed of light (c).

Is the formula valid for all velocities?

No, the formula is only valid for relative velocities less than the speed of light.

What are the practical applications of the relativistic Doppler effect?

The relativistic Doppler effect is used in astronomy to study the velocity of stars and galaxies, as well as in particle physics experiments.

How can I use the calculator to obtain accurate results?

Make sure to enter the correct units of measurement and ensure that the relative velocity is expressed as a fraction of the speed of light.

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