Question

1. Two asteroids, Lennon and McCartney, orbit a distant star in a Galaxy Far, Far Away.

   Asteroid McCartney's orbit has a specific mechanical energy, ε = -41.78 km²/s² and asteroid Lennon's orbit has a specific mechanical energy, ε = -53.80 km²/s²

   Which asteroid, Lennon or McCartney, has the shortest orbital period around their star?

   	A.	Asteroid McCartney
   	B.	Asteroid Lennon
   	C.	Can't tell from the information provided in the question because we need to know the gravitational parameter for the other, distant star.
   	D.	Asteroid Jagger-Richards

Answer 1

Specific energy of an object is the mechanical energy per unit mass hence from the equation of orbital energy we can say that

B is right ans.