a) For the 30days beginning July 15 find a list of moon rise times for Australia, Brisbane. From these data make a table and calculate the period of the moon in its orbit around the earth. Select four days within this period and draw a diagram for each day showing the earth and the moon. On each diagram show clearly how the moon appears shaded (or full). For this question clearly discuss all diagrams and mathematical working.
b) Calculate the period of the moon through considering the laws of universal gravitation. Consider errors in your calculations and quote all sources of primary data such as mass of the moon and the tolerance of the data given by the source. Compare your results with the one gained in part a). Discuss any difference.
c) A one tonne moon obiter is to approach the moon and orbit through 270 degrees at an altitude of 100km. During this period its rockets are to be turned off. What is the required velocity of the obiter at the entry point to prevent the vehicle from crashing into the moon?