GRAVITATION| INPHO 2013 Q6| RADIAL OSCILLATIONS OF ORBITS| ORBIT STABILITY UNDER CENTRAL FIELDS..

In This Video I have Presented My Analysis of INPHO 2013 Problem 6. This Problem requires one to find the time period of radial oscillations of planetary orbits and also finding the general condition of stability for orbits under central force motion. Hope you will enjoy my analysis....
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As you know that planets move in elliptical orbits under action of gravity of Sun. Suppose we assume that orbit is circular of radius ro and planet is slightly disturbed from its position such that its position is r = ro+δ where δ/ro much less than 1. Show that planet will oscillate simple harmonically around mean position ro. Obtain time period (Tr) for these radial oscillations. Given mass of sun is M and gravitational constant is G.
For this part we assume that planet moves under the force expressible as a power of r as F=-crn where c (c 0) is a constant. For what values of n a stable orbit is possible? (Orbit may not necessarily be nearly circular).

[arihantvashista]

This is the reason I love physics. Amazing video sir!!

[amitkironbiswas]

Sir if we apply a method in which we consider path to be circular And then having the slight displacement if we calculate the force oof attraction due earth then using binomial expansion if we resolve out the displacement term out And calculate time period by conventional jee method will the answer differ?

[sachin-llby]

when local Youtubers say themselves So Called "GOD OF Nitin sachan sir and Ambarish sir be like "show him my channel"....OP SIR like u are very hard to find in OPEN source platforms like Youtube because Sometimes the platform itself is not enough competent to Deserve people like you..

[mmondal]

Top level explanation enjoyed the session 🤞

[priyanshb]

op problem damm! nice one sir 10k soon :D

[pratikmaity]

Sir there is a problem given in irodov mechanics section problem no 109 which is also asking the range of values of n. Sir when I am applying the concept of effective potential energy then my ans is coming n<3 but ans is given n<1. Sir can you pls tell whether this concept is applicable in that problem?

[theproton]

Sir can you also please take up the interference question .i think it was p2 or 4 in inpho 2013..please explain it from a 11th graders perspective as i havent read the chapter formally. It would be ok even if you cite proof to the eqns instead of deriving it. Thanks