By Thanu Padmanabhan

This precise publication presents a transparent and lucid description of a number of facets of astrophysics and cosmology in a language comprehensible to a physicist or newbie in astrophysics. It offers the most important subject matters in all branches of astrophysics and cosmology in an easy and concise language. The emphasis is on at present energetic study components and fascinating new frontiers instead of on extra pedantic themes. Many advanced effects are brought with easy, novel derivations which increase the conceptual figuring out of the topic. The e-book additionally includes over 100 routines with a purpose to aid scholars of their self learn. Undergraduate and graduate scholars in physics and astrophysics in addition to all physicists who're drawn to acquiring a short seize of astrophysical suggestions will locate this publication precious.

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

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33) Using w2 = G{M\ + M2)/R? we see that the term linear in cos# indeed cancels. Adding the contribution due to Earth, the net potential near the surface of the Earth varies as $(l,0) = GMi - 3 GM2a2 2n — = | — cos2 6 + constant. 34) The equi-potential surfaces, given by $(l,6) = constant, will provide the lowest order deformation of the spherical shape of the earth due to tidal forces. 0 is the radius of the Earth) and expand $(l,6) in a Taylor series in h. 35) where g is the acceleration due to gravity on the surface of the earth and higher order terms in (R®/R) and (h/R) are ignored.

The gravitational force of Sun on Earth is, of course, significantly larger than that of Moon on Earth. But the tidal force due to Sun and the Moon has the ratio (M0/4) i™moon/'»mooiiJ (MQ/R3Q)(RQ/dQ)3 V-™ moon / - K m o o n i V-^moon/ " m o o n ) ^ ( ^ V ^ ^ O . 29) *J*<5 where 6 = (R/d) is the angle subtended by Sun or Moon at Earth and we have used the fact 9Q ~ 0mOon • So adding the effects of both sun and moon reduces the period to about 2 x 104 years which is close to what is observed. This means that the axis of rotation of earth will slowly precess and what we call the pole star, for example, will be different over few thousands of years!

One can, however, produce an approximate solution when, say, 777,2 -C mi. 2 for the two gravitational forces to be comparable. If we take the location of L\ as x = a-i — R with R

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