

Home
Contact Info
Course Info
Calendar
Homework
Lecture Notes




Physics 235: Classical Mechanics
Prof. S. Teitel stte@pas.rochester.edu  Fall 2001
Problem Set 9
Due Sunday, November 18, 1pm, in metal homework locker outside B&L 166
 Problem 822 in the text. Use Eq.(8.20) to explicitly solve for the
particle trajectories, r(theta), and then discuss the trajectory behavior, in
the following three cases: el^{2}=mu*k, el^{2}>mu*k,
and el^{2}<mu*k, where el is the angular momentum and mu is
the mass. [15 points]
 Problem 829 in the text. Hint: first determine the points on
the moon's orbit which correspond to the maximum and minimum velocities.
Then apply conservation of angular momentum to the motion at these points.
[15 points]
 A particle moves in an almost circular orbit in a central force field described by the screened Coulomb potential, U^{sc}=(k/r)e^{r/a}. Compute the total angle of rotation about the center of force, Delta theta, that the particle makes in going one period of oscillation from maximum radial distance to maximum radial distance (this gives the advance of the "apsidal angle"  see section 8.9). Assume that the variation in the radial distance, r_{max}r_{min} is small compared to the average orbit radius r_{o}. Is the orbit of the particle in general closed or open? Hint: follow similar arguments as done in lecture for the force F=k/r^{n}. [10 points]
