(2008? Xiaogan Simulation) The simplified road map of China's "Chang 'e-1" lunar exploration satellite successfully launched at the end of 2007 10 is shown in the figure below. The satellite was launched from the ground. (1) The process of capturing a satellite on the moon is to turn a satellite that makes centrifugal motion into a satellite that makes uniform circular motion around the moon. According to the conditions of centrifugal motion, it is known that centrifugal motion satisfies GMMR 2 < MV2r, while uniform circular motion satisfies GMMR 2 = MV2r. Therefore, we know that the process of starting the engine is a process of reducing the speed of the satellite, so the injection direction and movement direction of the engine are the same.

(2) Gravity provides centripetal force for the satellite to make uniform circular motion, then GMM (r+h) 2 = M4 π 2t2 (r+h).

That is, m = (2π t) 2 (d/2+h) 3g.

M=7× 1022 kg substituted data.

So the answer is:

(1) decelerates in the same direction as the moving direction;

(2) The mass of the moon is M=7× 1022 kg.