1. How can Kepler’s law of planetary motion be applied to the case of geo-stationary satellite?
2. What are the orbital parameters required to determine a satellite orbit? Name and explain them.
3. Determine the maximum and minimum range in kilometer from an earth station to a geo-synchronous satellite. To what round trip propagation times do these correspond?
4. Mention the effect of eclipse on the orbital motion of a satellite.
5. Mention the effect of gravitational force due to sun and moon on the orbital motion of a satellite.
6. What do you mean by the sun-transit outage?

Translate the following real world scenario into a signal. Write mathematically. An IV drip is started on a patient of 1000mL saline over 8 hours. At time zero, a linearly increasing drip rate is started for 2 hours. The drip rate is then held constant for 4 hours. The last two hours the drip rate is linearly decreased to zero. Write an analytical expression of the signal in mL/hour.

This is for a signals and systems class. Some basic functions that could be used are u(t) and the delta function.

Solve the differential equation using undetermined coefficients

y''+3y'-4y=5te^t+8t²-4

Parabolic trough collector. A set of parabolic mirrors can be used to concentrate the sun's rays to heat a fluid flowing in a pipe positioned at the mirrors' focal points. The heated fluid, such as oil, for example, is transported to a pressurized tank to be used to create steam to generate electricity or power an industrial process. Since the solar energy varies with time of day, time of year, cloudiness, humidity, etc., a control system has to be developed in order to maintain the fluid temperature constant. The temperature is mainly controlled by varying the amount of fluid flow through the pipes, but possibly also with a solar tracking mechanism that tilts the mirrors at appropriate angles.

Assuming fixed mirror angles, draw the functional block diagram of a system to maintain the fluid temperature a constant. The desired and actual fluid temperature difference is fed to a controller followed by an amplifier and signal conditioning circuit that varies the speed of a fluid circulating pump. Label the blocks and links of your diagram, indicating all the inputs to the system, including external disturbances such as solar variations, cloudiness, humidity, etc.