An Invitation to Astrophysics (World Scientific Series in by Thanu Padmanabhan

By Thanu Padmanabhan

This particular publication presents a transparent and lucid description of a number of features of astrophysics and cosmology in a language comprehensible to a physicist or newbie in astrophysics. It provides the foremost themes in all branches of astrophysics and cosmology in an easy and concise language. The emphasis is on presently energetic learn parts and intriguing new frontiers instead of on extra pedantic subject matters. Many complex effects are brought with uncomplicated, novel derivations which advance the conceptual knowing of the topic. The publication additionally includes over 100 routines that allows you to support scholars of their self research. Undergraduate and graduate scholars in physics and astrophysics in addition to all physicists who're drawn to acquiring a short take hold of of astrophysical recommendations will locate this e-book helpful.

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46) Finally, we will also assume that the mass-to-light ratio Q of all the galaxies is the same so that m, = Q Li where Li is the luminosity of the i—th galaxy. Substituting m* = QLi in Eq. 45) and using Eq. 46) we get Q=— £^i Li

If, for example, a compact object in our galaxy (say a Jupiter like non luminous object) moves across the line of Chapter 1: Gravitation 39 sight to a distant star in, say, the Large Magellanic Cloud (LMC, which is a small satellite galaxy of Milky Way), it will lead to a magnification of the light from the star under optimal conditions. The peak magnification in Eq. 34 which should be easily detectable. This is an indirect way of detecting massive, compact halo objects (called MACHOS) in the halo of our galaxy.

Let us apply this relation to a (nearly) spherical configuration of fluid with mass M, radius R and temperature T in equilibrium with the gravity balanced by the pressure. The gravitational potential energy of such a configuration will be t/ gr = —a{GM2/R) where a is a numerical constant possibly of order unity. In terms of the one dimensional velocity dispersion u2 = (kBT/m) the virial theorem becomes 1 [ZMu2 GM2\ , , In the absence of gravity (G = 0), this equation gives PSV — Mu2 which is merely the ideal gas law.

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