An Invitation to Astrophysics (World Scientific Series in - download pdf or read online

By Thanu Padmanabhan

ISBN-10: 9812566384

ISBN-13: 9789812566386

ISBN-10: 9812566872

ISBN-13: 9789812566874

ISBN-10: 9812774378

ISBN-13: 9789812774378

This particular booklet presents a transparent and lucid description of numerous elements of astrophysics and cosmology in a language comprehensible to a physicist or newbie in astrophysics. It provides the major themes in all branches of astrophysics and cosmology in an easy and concise language. The emphasis is on presently lively study parts and interesting new frontiers instead of on extra pedantic themes. Many complex effects are brought with basic, novel derivations which boost the conceptual figuring out of the topic. The e-book additionally comprises over 100 workouts that allows you to aid scholars of their self examine. Undergraduate and graduate scholars in physics and astrophysics in addition to all physicists who're drawn to acquiring a brief clutch of astrophysical techniques will locate this booklet beneficial.

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Extra info for An Invitation to Astrophysics (World Scientific Series in Astronomy and Astrophysic)

Sample text

Then (62/61) ^ (Rv2/Gm) = N (Rv2/GM) ~ N for a system in virial equilibrium. This effect is important over time-scales (At) which is long enough to make ((Svi) )totai — v2. Using this condition and solving for (At) we get: {At) c 9 ~ 2irG2m2n\nN ~ {sh^Nj W ~ \S^Nj (L65) which is a shorter time-scale compared to tgc obtained in Eq. 62). The numerical factor arises from a more precise calculation and the above expression gives the correct order of magnitude for the gravitational relaxation time of several systems.

One curious consequence of the virial theorem is that gravitating systems have negative specific heat. Recall that we can associate a temperature T to the kinetic energy of random motion K by K K (3/2)NUBT. The specific heat is Cv = (dE/dT); since T oc K, the sign of Cv is same as that of (dE/dK) = — 1 from virial theorem, making Cv < 0. This behaviour, of course, is well known even in the case of gravitational one body problem. A satellite in a circular orbit around Earth, when it loses energy, will go to an orbit with lower radius but higher orbital velocity.

We developed the Newtonian gravity starting with the notion of gravitational potential related to the mass density p by Eq. 1). >(t,x) = 4i7Gp(i,x). This equation shows that if you move a mass near the origin slightly, its gravitational field at a distant point should change instantaneously. This, of course, does not agree with the basic notion in special relativity which requires signals to propagate at most with the speed of light. It is clear that — at the very least — we need to tinker with this equation in order to get a theory of gravity which is consistent with special relativity.

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An Invitation to Astrophysics (World Scientific Series in Astronomy and Astrophysic) by Thanu Padmanabhan

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