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p105_hw6

# p105_hw6 - University of California at Berkeley Physics 105...

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University of California at Berkeley Physics 105 Spring 2010 Assignment 6: Due Friday, 12 March, at 5pm All chapter and problem numbers refer to R Taylor unless otherwise speci±ed. 1) Reading Assignment : Read chapter 14. 2) Problems : 14.7, 14.13, 14.14 and 14.19. 3) Additional problem : Show that an ellipse is uniquely speci±ed by the requirement that the sum of the distances from a point P on the ellipse to two ±xed points F 1 , F 2 is independent of P. The points F 1 , F 2 are the foci of the ellipse. 4) Additional problem : Circularization of the orbit of the Mars Explorer: NASA put the Explorer into a highly eccentric orbit of eccentricity ǫ 0 < 1 around Mars, relying on its interaction with the Martian atmosphere to circularize this orbit. Show ±rst that the eccentricity of the orbit is given by ǫ 2 = 1 + 2 Eh 2 G 2 M 2 and that the period of the orbit is 2 πh 3 G 2 M 2 (1 ǫ 2 ) - 3 / 2 . Here

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p105_hw6 - University of California at Berkeley Physics 105...

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