Fundamentals of Electric Propulsion: Ion and Hall Thrusters

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Fundamentals of Electric Propulsion: Ion and Hall Thrusters ( fundamentals-electric-propulsion-ion-and-hall-thrusters )

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424 Chapter 8 [18] J. R. Beattie, J. A. Marshall, J. L. Burch, and W. C. Gibson, “Design, Qualification, and On-Orbit Performance of the ATLAS Plasma Contactor,” IEPC-93-010, International Electric Propulsion Conference, Seattle, Washington, September 1993. [19] J. R. Beattie, W. S. Williamson, J. N. Matossian, E. J. Vourgourakis, and J. L. Burch, AIAA-1989-1603, “High-Current Plasma Contactor Neutralizer System,” 3rd International Conference on Tethers in Space— Toward Flight, San Francisco, California, May 17–19, 1989. [20] I. Katz, D. E. Parks, B. M. Gardner, S. B. Mende, H. I. Collin, D. H. Manzella, and R. M. Myers, “Spectral Line Emission by the SEPAC Plasma Contactor: Comparison Between Measurement & Theory,” AIAA-95-0369, 33rd Aerospace Sciences Meeting and Exhibit, Reno, Nevada, January 9–12, 1995. Homework Problems 1. An ion thruster 20 cm in diameter produces a Xe+ ion beam at 2000 V. a. If there is no electron neutralization of the beam, what is the maximum current in the beam if the beam diameter doubles in a distance of 1 m? b. What is the effective angular divergence of this beam? c. At what current density is electron neutralization required to keep the angular divergence less than 10 deg? (Hint: find the radial acceleration using Gauss’s law for the radial electric field in the beam.) 2. You have just been hired as a propulsion engineer by a spacecraft manufacturer who plans to launch a commercial satellite that uses a 30-cm xenon ion engine operated for station keeping. The manufacturer plans to perform a costly test to assess whether a 1-mil-thick Kapton coating over a critical spacecraft surface located near the engine will survive 1500 hours of thruster operation. You immediately recall that your course work may allow you to determine the sputtering erosion of the Kapton layer by analysis, and thus possibly save your employer the high cost of performing the test. The spacecraft surface in question is a flat panel located perpendicularly to the thruster’s r–z plane, as shown in Fig. 8-19. The panel length exceeds 6 m. Assuming that the ion beam consists of singly charged ions only,

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