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Astr 421 Fall 2004
Galaxies Sylvain Veilleux
October 6, 2004 DUE: October 15, 2004
PROBLEM SET # 3
Problems 1 - 4.
Sparke & Gallagher, Problems 3.2, 3.3, 3.6, and 3.19
Assume that the Sun is in the midplane of the Galaxy with a vertical
component of motion equal to 7 km s. Assume that the Sun moves
through a constant-density region with = 0.13 M
- Apply Gauss's law in a plane-parallel layer to show that the Sun
executes simple harmonic motion with a force constant proportional to
- Estimate the maximum height above the plane that the Sun will
- In light of the derived value of z, is the assumption
of a constant density medium realistic?
- Roughly how many vertical oscillations has the Sun made during its
lifetime (4.6 billion years)?