Statement-1: Three shown orbits have same semi-major axis and different eccentricities. Three identical satellites are orbiting in these three orbits, have same binding energy. Statement-2: Total ener

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Statement-1: Three shown orbits have same semi-major axis and different eccentricities. Three identical satellites are orbiting in these three orbits, have same binding energy. Statement-2: Total energy of a satellite depends on the semi-major axis of orbit as E = − 2 a GM m ​ where symbols have their usual meaning.

TestHub · Accepted Answer

Statement-2 is true: the total (binding) energy of a satellite is $E = - \frac{GM m}{2 a}$ , which depends only on the semi-major axis a, not on eccentricity.

Since the three orbits have the same semi-major axis, all three identical satellites have the same total energy, i.e. the same binding energy. So Statement-1 is true.

Statement-2 is exactly why Statement-1 holds - it is the correct explanation. Ans. (A)

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