Get An Invitation to Astrophysics PDF

By Thanu Padmanabhan

ISBN-10: 9812566384

ISBN-13: 9789812566386

ISBN-10: 9812566872

ISBN-13: 9789812566874

This specific e-book offers a transparent and lucid description of numerous elements of astrophysics and cosmology in a language comprehensible to a physicist or newbie in astrophysics. It offers the foremost subject matters in all branches of astrophysics and cosmology in an easy and concise language. The emphasis is on at present lively study components and interesting new frontiers instead of on extra pedantic issues. Many complex effects are brought with uncomplicated, novel derivations which increase the conceptual figuring out of the topic. The booklet additionally includes over 100 workouts in an effort to aid scholars of their self learn. Undergraduate and graduate scholars in physics and astrophysics in addition to all physicists who're attracted to acquiring a brief clutch of astrophysical ideas will locate this publication valuable.

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Example text

The distances between source and observer, source and lens, and observer and lens are give by -DOS>-DLS>-DOL> respectively. From Fig. 3, it is clear that 0S — 9i — (-DLS/-DOS)0- Let s and i denote the two dimensional vectors giving the source and image positions projected on the two dimensional lens plane; and let d(i) be the (vectorial) deflection produced by the lens corresponding to the angular deflection 6. (See Fig. 3). 87) d(i). Observer Fig. 3 The geometry for gravitational lensing. Clearly, all the physics is in the deflection vector d(i).

Clearly, all the physics is in the deflection vector d(i). Consider now the 2—dimensional divergence ^\7 • d of this vector. Using <*>VV = V ^dz- S = 4* 0 ,(x)-g dz* (U 2 and Eq. 89) Chapter 1: Gravitation 37 where Y,(x,y) is the surface mass density corresponding to /o(x) obtained by integrating p(x,y,z) along the 2-axis. [The d2(f>/dz2 term vanishes on integration]. This two-dimensional Poisson equation has the standard solution: & lI-xl J which gives the deflection d in terms of the surface density S(x).

What is the moral of the story? [Hint: For a sphere U = {3/5)GM2/R while for a disk it is {8/3n)GM2/R. 2 Going full circle: Can you find a physical situation in which the minor arc AC of Fig. 1 could be meaningful? 3 Dynamic ranges for physical parameters: 2 Compute the characteristic speeds [using the v ~ GM/R] for (a) planets in solar system; (b) stars in a galaxy and (c) galaxies in the universe. What is the dynamic range in the variation of mass, radius and density in these systems compared to the dynamic range in speed ?

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An Invitation to Astrophysics by Thanu Padmanabhan


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