# Doppler wavelength shift equation

• bse
In summary, there are multiple equations for the Doppler wavelength shift, depending on whether the emitter, receiver, or both are in motion. The relativistic Doppler shift equation can be used for light emitted from the sun, while the classical formula is sufficient if only accounting for the speed between Earth and the sun.
bse
Can anyone tell me what the doppler wavelength shift equation is?

thanks

I'm trying to find the wavelength shift for light with a certain wavelength that is emitted from the sun. Is there a different kind of equation for light wavelength shifts?

There's the relativistic Doppler shift, $$\lambda= \lambda _0 \sqrt{ \frac{1+v}{1-v}}$$
But if you're only making the correction of the speed Earth to Sun, the classical formula is enough, I think

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## 1. What is the Doppler wavelength shift equation?

The Doppler wavelength shift equation is a mathematical formula that describes the change in the wavelength of a wave as it moves towards or away from an observer. It is commonly used in physics and astronomy to measure the speed and direction of an object in motion.

## 2. How is the Doppler wavelength shift equation used in astronomy?

In astronomy, the Doppler wavelength shift equation is used to measure the radial velocity of objects in space. By analyzing the shift in the wavelength of light emitted by a celestial object, scientists can determine whether it is moving towards or away from Earth, as well as its speed and direction of motion.

## 3. What factors influence the Doppler wavelength shift?

The Doppler wavelength shift is influenced by the relative motion between the source of the wave and the observer. The speed and direction of the motion, as well as the frequency and wavelength of the wave, all play a role in the amount of shift observed.

## 4. How is the Doppler wavelength shift equation derived?

The Doppler wavelength shift equation is derived from the principles of wave motion and the concept of relative velocity. It takes into account the change in wavelength caused by the motion of the source and the observer, as well as the speed of the wave itself.

## 5. Are there any limitations to the Doppler wavelength shift equation?

While the Doppler wavelength shift equation is a useful tool for measuring the motion of objects in space, it does have limitations. It assumes that the source and observer are moving in a straight line, and does not account for factors such as gravitational effects or the curvature of space. Additionally, it is only accurate for objects that are relatively close to Earth, as the effects of the shift become less noticeable at greater distances.

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