Analysis of 51Peg-b

Abstract

51 Pegassi b is the first exoplanet to be discovered in the history of astronomy and astrophysics. This is a hot Jupiter trapped in a subsynchronous orbit . In 2Gy it has spiraled from aG1, first Clarke’s Orbit at 0.06344AU, to the present orbit at aexo = 0.0530025AU .Setting up the star and exo-planet in primary centric framework we get the theoretical = 0.19128 and observed = 4.23 d21.9 d = 0.193151 almost coincident within error bars . This implies that   equation is correctly set up. The exponent Q = 2.7251in radial velocity expression  is obtained from Mean Motion Resonance  =2 considerations  and  by setting up the transit time from aG1 to the current semi-major axis aexo in 2Gy (the age of 51Peg b system) the structure constant is obtained as K = 21051. Once Q and K are determined the Transit Time integral is correctly set up. Using this transit time set up , at four check points within the current semi-major axis the transit time is calculated by the Kinematic Model developed by the Author and by the Seismic Model currently being used by the scientific community. The seismic model gives a conservative estimate of the transit times.The Roche’s limit 4.34109m= 0.029AU and by primary centric model the exo-planet will take 77.7 My from now to enter the Roche’s zone. 51 Pegasi b fits accurately in the primary centric framework.