I studied some of the theories of radio astronomy, required mathematics and applications to the practical purposes in radio astronomy. I estimated the dimensions and sensitivity of Ooty Radio Telescope using a radio source. I also simulated the intensity profile of the Sun along the diameter, which looked like sinc function as expected. I tried to extract pulsar signals from vela pulsar and observed the lunar ocultation of a binary radio source.

We started this project by reading some articles on gravitational waves. We determined the gravitational wave equation from Einstein’s field equation by linear approximation and from this we determined some properties of gravitational waves. Then we focused on the detection of gravitational waves. Here we looked into some interferometer techniques used in the LIGO experiments (like Fabry-Perot and Michelson) and used a simulation software ‘Finesse’ to simulate different kind of interferometer set ups. Then we downloaded the original data from LIGO website and tried to analyze it. Our aim was to analyse noises in the data and as the GW data is full of noise we did’nt had to separate the signal from noise. We knew that GW data is a time series data and also we have a notion that noises are random. We fitted the GW data with auto-regression model (here I used both Python and MATLAB) to find the correlation between the datas of different times and also we plotted power spectral density.

LISA or Laser Interferometer Space Antenna is a space mission hosted by NASA for detecting low frequency gravitational waves. It is a space based detector, consisting three spacecrafts. In this project first we constructed three unperturbed heliocentric orbits and adjusted the orbital parameters so that the spacecrafts form equilateral triangle. Then we determined orbits to the first order of the parameter α =l/2R and showed that the distances between the orbits remains nearly constant. We determined the orbits and showed the nearly constant distance using Clohessy-Wiltshire Frame. Then we genelarised this result to any number of spacecrafts in CW frame. Lastly we determined the solutions due to effects of the sun and the earth (upto octupole order).