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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.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.4: Trigonometric Functions Of Any Angle
Problem 99E
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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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