# Doppler effect for light Calculator

## Calculates the Doppler shift in wavelength of light.

 The forward angle of light source θ is set as 180 (recede), 0 (approach), 90 (laterally).

 light source: Wavelength of light λ0 nm Velocity v0 km/s Forward angle θ degree 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit at observer: Wavelength of light λ nm Frequency of light ν GHz Velocity ratio to light v0/c ％
 The faster the light source recedes, the redder its color becomes.$\normal Doppler\ effect\ for\ light\\(1)\ \lambda=\lambda_0{\frac{\large 1-\frac{v}{c}cos\theta}{\large\sqrt{1-\frac{v^2}{c^2}}}\hspace{40}\nu=\nu_0{\frac{\large\sqrt{1-\frac{v^2}{c^2}}}{\large 1-\frac{v}{c}cos\theta}}}\\\vspace{5}(2)\ \lambda\nu=\lambda_0\nu_0=c=299792.458km/s$

Doppler effect for light
 [1-6] /6 Disp-Num5103050100200
[1]  2019/05/06 17:26   Male / 30 years old level / An engineer / Very /
Purpose of use
Spacecraft doppler shift calculation
[2]  2017/09/08 23:37   Male / 40 years old level / A teacher / A researcher / Very /
Purpose of use
Calculation of doppler effect of star light and cosmic microwave background relative to spaceship in space travel at velocities approaching the speed of light (>0.7 c).
[3]  2015/07/27 06:58   Female / 50 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Helping me to understand how to calculate distances in light years?
Comment/Request
Solve the Doppler equation to determine the relative velocity as a percentage of the speed of light (c) of an object being tracked by an active radar transmitting at 10 terahertz and receiving signals at 9.5 Terahertz. Is the object moving toward the radar or away from the radar? How fast is the relative velocity in kilometers per second?"
[4]  2015/06/06 06:18   Male / 30 years old level / An office worker / A public employee / Very /
Purpose of use
Used to prove a point involving a hypothetical relativistic asteroid headed towards earth.
[5]  2013/01/30 19:27   Male / 20 years old level / A teacher / A researcher / Very /
Purpose of use
teaching
Comment/Request
it is very useful to clear our doubt
[6]  2011/05/14 06:21   Male / Under 20 years old / A student / Very /
Purpose of use
want some worked examples on doppler effect.
Comment/Request
calculated example

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