A simple model of a satellite, orbiting the earth, is given by the differential equation *(t)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A simple model of a satellite, orbiting the earth, is given by the differential equation *(t) = r(t)a². r(t) + u(t) where r is the satellite's distance to the earth and o is its angular acceleration, see the diagram below. The satellite has a gas jet engine, which can exert a radial force u. (Linearisation] u(t) r(t), Satellite orbiting the earth. [r(t) a. Introduce the state vector x(t) = and write down the nonlinear state space equations for the system. b. Linearise the state space equations around the stationary point (r,r, u) (r°,0, 0). Consider r as the output and give the state space representation of the linear system. Express r° in 6 and w. A simple model of a satellite, orbiting the earth, is given by the differential equation *(t) = r(t)a². r(t) + u(t) where r is the satellite's distance to the earth and o is its angular acceleration, see the diagram below. The satellite has a gas jet engine, which can exert a radial force u. (Linearisation] u(t) r(t), Satellite orbiting the earth. [r(t) a. Introduce the state vector x(t) = and write down the nonlinear state space equations for the system. b. Linearise the state space equations around the stationary point (r,r, u) (r°,0, 0). Consider r as the output and give the state space representation of the linear system. Express r° in 6 and w.
Expert Answer:
Related Book For
Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
Posted Date:
Students also viewed these physics questions
-
A simple model of the human eye ignores its lens entirely. Most of what the eye does to light happens at the outer surface of the transparent cornea. Assume that this surface has a radius of...
-
The figure shows a simple model of the loading of a square thread of a power screw transmitting an axial load F with an application of torque T. The torque is balanced by the frictional force Ff...
-
The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking stations A and B, which are 40 mi apart. When the satellite is on one side of the two stations, the...
-
Common structural steel can be represented on drawings using a letter, immediately followed by a number, then another number (for example, S14x30). The two numbers for a steel member W16x60 designate...
-
Explain how a capital loss on the sale of a firms stock can affect an investors taxes.
-
A group of bodies are found buried in a forest. The police suspect that they may include the missing Jones family (two parents and two children). They extract DNA from bones and examine (using PCR)...
-
Frame-up plc is considering a flotation on the Main Market of the London Stock Exchange. The managing director has asked you to produce a 1,000-word report explaining the advantages of such a move.
-
A firm has experienced an increasing current ratio but a decreasing operating cash flow to current liabilities ratio during the last three years. What is the likely explanation for these results?
-
Coco Ltd. (Coco) purchased 90% of the voting shares of Ferdinand Inc. (Ferdinand) for $612,000 on January 1, 2022. On that date, Ferdinand's common shares and retained earnings were valued at...
-
Refer to the Bulletin of Marine Science (Apr. 2010) study of teams of fishermen fishing for the red spiny lobster in Baja California Sur, Mexico, Exercise 11.63 (p. 614). Recall that simple linear...
-
Calculate the Sharpe ratio of the Pomona Business Fund. Rate of return = 10.0%. Variance of the returns = 25.0. Risk-free rate = 3.6%.
-
Recently Katy Perry and Orlando Bloom (through their business manager) have sued the owner of a home they agreed to purchase for refusing to complete the sale. Read one of these short articles on the...
-
Explain the main features of HTML in e-business. Assess the security and legislative issues facing Omani online business organizations and highlight suggested solution.
-
Many Federal agencies are exempt from protections provided to other American employees. For example, the FBI has age requirements for hiring and retirement. Police officers can also have their...
-
What is the gear ratio (rear to front) of a bicycle that has 22 teeth on the rear sprocket and 50 teeth on the front sprocket?
-
Radar gun A police car is at rest parallel to the highway and measures the speed of cars. It sends the signal with a frequency of 1200 Hz, it bounces off the moving car (it is traveling toward or...
-
Express the interval shown on the number line in interval notation. -12 -10 -8 -4 -2 0 2 4 6 8 10 12
-
Some people argue that the internal control requirements of the Sarbanes-Oxley Act (SOX) put U.S. companies at a competitive disadvantage to companies outside the United States. Discuss the...
-
Figure shows a vibrating mass-spring system supported on a frictionless surface and a second equal mass that is moving toward the vibrating mass with velocity v. The motion of the vibrating mass is...
-
The time interval between the reception of the flashes at A and B in Problems 26 and 27 is 75 min according to the observer in S. How much time does he expect to have elapsed on the clock at A during...
-
A slab of glass with an index of refraction of 1.5 is submerged in water with an index of refraction of 1.33. Light in the water is incident on the glass. Find the angle of refraction if the angle of...
-
Traditionally, accountants have been most involved with which portion of the HRM/payroll cycle? a. hiring b. payroll c. training d. performance evaluation
-
What is the formula for calculating equity per share?
-
Which of the following statements is true? a. Financial statements report the value of employee knowledge and skills. b. Turnover and absenteeism are costly. c. Outsourcing of HRM and payroll...
Study smarter with the SolutionInn App