Shown is satellite that tracks the rotation of a star about the planet Mars. It is assumed that the star's trajectory is a perfect circle with radius rs and the tangential speed of the star Vm is constant. Vm Mars- Satellite star System block diagram is given. 0m (S) non-unit ramp input Om is the star's angular position while 8, is the satellite's measured angular position. a. Determine the appropriate test input to the system to check for steady state error in the angular position measurement. K s(s+6) b. Determine the angular velocity of the star If Vm = 3400 km/hr. and rm = 380000 km. c. If the satellite tracks the star with no more than 0.0002° error, determine the value of the appropriate static error constant. Note: The input to the system is non-unit, the steady state errors are given below Wm non-unit step input 1+kp Wm K₂ 0,(s) non-unit parabolic input- Ka

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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Shown is satellite that tracks the rotation of a star about the planet Mars. It is assumed
that the star's trajectory is a perfect circle with radius rs and the tangential speed of the
star Vm is constant.
Mars-
Satellite
star
System block diagram is given.
0m (S)
wm
1+kp
K
s(s+6)
Om is the star's angular position while 0, is the satellite's measured angular position.
a. Determine the appropriate test input to the system to check for steady state error in the
angular position measurement.
wm
non-unit ramp input-
K₂
non-unit parabolic input
'm
b. Determine the angular velocity wm of the star If Vm = 3400 km/hr. and m = 380000 km.
c. If the satellite tracks the star with no more than 0.0002° error, determine the value of the
appropriate static error constant.
Note: The input to the system is non-unit, the steady state errors are given below
non-unit step input
wm
Ka
0,(s)
Transcribed Image Text:Shown is satellite that tracks the rotation of a star about the planet Mars. It is assumed that the star's trajectory is a perfect circle with radius rs and the tangential speed of the star Vm is constant. Mars- Satellite star System block diagram is given. 0m (S) wm 1+kp K s(s+6) Om is the star's angular position while 0, is the satellite's measured angular position. a. Determine the appropriate test input to the system to check for steady state error in the angular position measurement. wm non-unit ramp input- K₂ non-unit parabolic input 'm b. Determine the angular velocity wm of the star If Vm = 3400 km/hr. and m = 380000 km. c. If the satellite tracks the star with no more than 0.0002° error, determine the value of the appropriate static error constant. Note: The input to the system is non-unit, the steady state errors are given below non-unit step input wm Ka 0,(s)
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