EXERCISE 1: LANDING ON A GIVEN TARGET

Your goal is to control the lander and land on the target within the safe landing speed and within the safe landing zone.

Use the following parameters:

Parameter Value
Total initial mass including fuel  kg
Initial mass of fuel  kg
Fuel burn rate 0 kg/s
Height of lander 3 m (CM is 1.5 from the bottom of the lander)
g 1.6 N/kg
Thrust of an engine  N (3 times the initial weight)
Initial velocity  m/s
Initial position  m
Target position  m
Safe landing speed less than 1 m/s
Safe landing zone  m of center of target

It is best to use keys on the keyboard to turn on or off the thrusters.

Define the position of the lander as its center of mass (CM) position. Define “landing” as when the bottom of the lander reaches the surface of the Moon. Thus, if the lander starts at  m and lands with the CM at 1.5 m, then its displacement is actually 48.5 m.