Physics 325
Spring 2011
Homework
4A
Name: ____________________________
Due:
Mar 2, 2011 by 9am
(lecture or 325 box)
1.
(10 points)
A particle moves in an elliptical orbit under the influence of an inversesquarelaw
central force field. If the ratio of the
maximum
angular velocity to the
minimum
angular velocity
of the particle in its orbit is
, then show that the eccentricity of the orbit
is given by
1
1
2.
(10 points)
Assume the Earth’s orbit around the Sun to be circular. Describe the Earth’s orbit
that would result if the Sun’s mass suddenly decreases by a factor of two and argue whether or
not Earth will remain gravitationally bound in the solar system (ignore the influence of other
planets) in this case. Show the calculations that back up your conclusions.
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Spring 2011
Homework
4B
Name: ____________________________
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 Spring '08
 Staff
 mechanics, Solar System, Force, Work, General Relativity, maximum angular velocity, minimum angular velocity

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