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By equating moments about the c. of g. the differential equation that models the satellite is: d²0 dt² J = d.F = where is the output angle, F is the input force, d is the distance the thrusters are from the c. of g. and J is the moment of inertia. By taking Laplace Transforms of both sides determine a transfer function, G(s), where e is the output and F is the input. Enter the transfer function into Matlab and use the LTIview facility to plot a time response to a unit step input assuming the satellite is initially stationary. How far has it turned in 60 seconds? What is the angular velocity of the satellite after 60 sec? Explain what is happening to the satellite.

By equating moments about the c. of g. the differential equation that models the satellite is: d²0 dt² J = d.F = where is the output angle, F is the input force, d is the distance the thrusters are from the c. of g. and J is the moment of inertia. By taking Laplace Transforms of both sides determine a transfer function, G(s), where e is the output and F is the input. Enter the transfer function into Matlab and use the LTIview facility to plot a time response to a unit step input assuming the satellite is initially stationary. How far has it turned in 60 seconds? What is the angular velocity of the satellite after 60 sec? Explain what is happening to the satellite.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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By equating moments about the c. of g. the differential equation that models the satellite is: d²0 dt² J = d.F where is the output angle, F is the input force, d is the distance the thrusters are from the c. of g. and J is the moment of inertia. By taking Laplace Transforms of both sides determine a transfer function, G(s), where e is the output and F is the input. Enter the transfer function into Matlab and use the LTlview facility to plot a time response to a unit step input assuming the satellite is initially stationary. How far has it turned in 60 seconds? What is the angular velocity of the satellite after 60 sec? Explain what is happening to the satellite.
Transcribed Image Text:By equating moments about the c. of g. the differential equation that models the satellite is: d²0 dt² J = d.F where is the output angle, F is the input force, d is the distance the thrusters are from the c. of g. and J is the moment of inertia. By taking Laplace Transforms of both sides determine a transfer function, G(s), where e is the output and F is the input. Enter the transfer function into Matlab and use the LTlview facility to plot a time response to a unit step input assuming the satellite is initially stationary. How far has it turned in 60 seconds? What is the angular velocity of the satellite after 60 sec? Explain what is happening to the satellite.
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