5. A 1000 kg satellite currently follows an elliptical Earth orbit with altitudes of 400 km above Earth's surface. The goal is to transfer it to a geostationary orbit at an altitude of 36,000 km. You have a propulsion system with a specific impulse of 320 seconds and limited onboard propellant. Please provide solutions to the following questions: a. Create an orbit transfer diagram using appropriate notation to illustrate velocity changes in orbits. b. Determine the minimum change in velocity (Av) required for this transfer, considering gravitational effects and Earth's radius. kes c. Given the spacecraft's limitations, propose a detailed mission plan outlining the sequence of maneuvers, timing, and orbital parameters to achieve the transfer to the geostationary orbit. d. Calculate the optimal orbital period from the initial orbit to minimize Av requirements and energy expenditure. e. Discuss the trade-offs between time and fuel efficiency in space orbit transfers and how mission objectives, such as minimizing transfer time or fuel consumption, impact the choice of transfer strategy.