Feynman Fan posted an Question
August 11, 2020 • 18:12 pm 30 points
  • IIT JAM
  • Physics (PH)

Please help me with this doubt regarding elliptical orbits because we have two expressions in one expression energy is fixed and in another energy has a range s

please help me with this doubt regarding elliptical orbits because we have two expressions in one expression energy is fixed and in another energy has a range so which one is correct and if they both are correct how to do i interpret the results

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    Ruby negi best-answer

    see, energy is fixed for circular orbit but that doesn't mean circle of particular radius is fixed, u can see in the formula of energy for circular orbit, J ( in denominator) depends on r so with different r (radius) , different J possible so different energy with different r possible..hope , u will get it... energy is fixed doesn't mean particular circle is possible...

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    Ruby negi Best Answer

    E is between the given range (that u wrote) is for elliptical orbits and also the expression that u write in last for E ,must follow the range ( as that range is general condition that must be fulfilled by E for elliptical orbits)... E is fixed for one elliptical orbits but size of elliptical orbits can change so value of E will change but the condition is that the value of E must lies between the given range even when the size of orbits will change...

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    hope u will get me, if not ,do let me know...

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    thank u so much i got it .but just need to know that as in case of ellitical orbit there can be diffrent values of orbit but all satisfying the range condition mentioned .does that mean only one value of r is possible for circular orbit because in that case we have fixed E not the range . please confirm if im getting it right otherwise rectify my mistake

  • Mahak best-answer

    here which we calculate that is general expression of energy which is always constant for all orbits but in elliptical orbit energy range is between -mk^2/2l^2

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    what's your doubt

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    i didn't get you sorry .please if you can elaborate

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    see attached

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