Problem $1(30$ points$)$

Determine the flight characteristics of an electric propulsion thruster $($Hall$-$effect$)$ for a satellite orbit maneuvering. The specific impulse is $1500$ s and force is $3$ N $.$ The duration is $6$ weeks, and the payload mass is $200$ kg $.$ Specific power is $\backslash (300\backslash$mathrm$\{$~W$\}/\backslash$mathrm$\{$kg$\}\backslash ),$ efficiency is $0\mathrm{.}45.$ Use example problem $17\mathrm{.}1$ as a start. Find propellant flow, required propellant mass, required electrical power, the mass of the power supply system, the vehicle mass before and after engine operation, the velocity increase of the vehicle and the acceleration of the vehicle.