Show that a planet in an elliptical orbit has total mechanical energyE = −GMm/2a , where a is the semimajor axis. Hint: Use Exercise 19to compute the total energy at the perihelion.

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Show that a planet in an elliptical orbit has total mechanical energy
E = −GMm/2a , where a is the semimajor axis. Hint: Use Exercise 19
to compute the total energy at the perihelion.

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