Let's consider getting a satellite from a low-earth orbit to the moon (note this is similar to question 3.2 in your textbook). start by making a sketch of the satellite orbiting earth, and drawing the moon into the picture since that is our destination. (a) describe happens to the orbit when you give your spaceship a small boost in velocity along the direction in which it is currently orbiting? (b) what happens if i fire the thrusters in the opposite direction, thereby reducing the velocity along the direction of the orbit? (c) a nasa scientist tells you that it is cheapest to get the spaceship to the moon if they simply make the spacecraft's orbit more and more eccentri until the orbit stretches out to the moon. (i) what eccentricity does this require? (ii) calculate the velocity change required to achieve this orbit, both in km and as a % change from low-earth orbit. (d) let's think about the energetics of this maneuver. suppose i have 1000kg spaceship in a low-earth orbit, and i want to use normal jet fuel accelerate it to the moon. to oom, how much will this cost? hint: st by looking up the energy liberated by burning jet fuel (e. g. joules / gallo are there any inconsistencies in how you just calculated the cost?