Download file planets1.dat from the link and analyze it in the way described in

Question

Download file planets1.dat from the link and analyze it in the way described in the notes on multiple planets (link). The file has 512 lines corresponding to 512 consecutive days, and each line corresponds is a read-off of the Doppler shift of the star (in arbitrary units). Find how many planets orbit the star, and find their periods. You don’t need to do it in a pedestrian way - you can simply use a Periodogram command if you wish, but make sure you understand how it works - i.e. that you’ll be able to read off the periods from the output. Submit the periodogram or a similar plot with your solution.

https://www.dropbox.com/s/fu6l92ecu85v5u7/planets1.dat?dl=0

Explanation / Answer

The Doppler effect for electromagnetic waves such as light is of great use in astronomy and results in either a so-called redshift or blueshift. It has been used to measure the speed at which stars and galaxies are approaching or receding from us; that is, their radial velocities. Doppler Shift method relies on the fact that the planet and star are both orbiting a shared center of mass. If the orbit is edge-on, the star will move towards us and then away from us in its tiny orbit. When an object is moving towards us, the light we detect is blue-shifted. The Doppler shift for light is very similar to the Doppler shift for sound which you have probably witnessed if you've ever stood on the side of the road when an ambulance passed by. The ambulance's sirens sound different when they are approaching than when they are receding because the sound waves are compressed and then stretched. These changes in the star's spectrum (a plot of brightness coming from the star versus wavelength) due to the Doppler shift can be detected.Well, In our galaxy we have 8 planets orbiting the only star I.e Sun but NASA has discovered 7 Earth-like planets orbiting a star just 40 light-years away

A periodogram is a graphical data analysis technique for examining frequency-domain models of an equispaced time series. The. Periodogram is the Fourier transform of the autocovariance function. An equispaced time series is one in which the distance between. Adjacent points are constant.

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