What is the Northernmost Latitude of Saturn? My wife and I were watching a TV show last night, which takes place in Salem, Massachusetts circa 1693.  One character went to a particular place in the woods at a particular time to be exactly under Saturn.  I told my wife that Saturn could never be exactly above such a Northern latitude.

What is the Northernmost Latitude that Saturn could possibly be above?  By "above", I mean if you draw a line through the center of the Earth and through Saturn, the point on the Earth's surface that line passes through.

Also, how often would it reach that point?  Would it be every few years, or every few thousand years?
Salem is at 42.5° north. At the equator, the position of the sun varies by 23.5 degrees on either side of the vertical over the course of each year, due to earth's 23.5° axial tilt with respect to the ecliptic. 

Saturn, however is not on the ecliptic. It departs by about 2.5° over the course of its 29.45 year, 9.5 AU orbit. So once every 29.5 years Saturn's angle to the ecliptic will add 2.5° to the max latitude the planet can be seen overhead.
That adds up to 26° as the max latitude Saturn can be seen directly overhead. 

There's one more factor to account for though. Earth being 1AU out from the sun, it's only 8.5 AU from Saturn at close approach. That will add another 0.2° (by trig) to the max latitude at that time of year when earth is nearest Saturn. That gets us to the possiblity of Saturn appearing directly overhead at up to latitude 26.2°: Miami, Jaipur, or Dubai, not Salem