Answer:
The centripetal acceleration of Deimos is
.
Explanation:
The centripetal acceleration is defined as:
(1)
Where v is the velocity of Deimos and r is the orbital distance.
Notice that is necessary to determine the velocity first.
The speed of the Deimos can be found by means of the Universal law of gravity:
(2)
Then, replacing Newton's second law in equation 2 it is gotten:
(3)
However, a is the centripetal acceleration since Deimos almost describes a circular motion around Mars:
(4)
Replacing equation 4 in equation 3 it is gotten:





(5)
Where v is the orbital speed, G is the gravitational constant, M is the mass of Mars, and r is the orbital radius.

Finally, equation 4 can be used:


Hence, the centripetal acceleration of Deimos is
.