12.215 Homework #1. Due
Wednesday, Oct 7, 2009. 

(1) As a function of latitude
between 90 and 90 degrees, compute the difference between the geodetic and
geocentric latitude.
Compare the size of the differences with the typical difference
between geodetic and astronomic latitudes (~10Ó) (25 points) 

(2) For latitudes of 30 degrees
N and 60 degrees N, determine the difference between the great circle path
and small circle path for sites at the same latitude. Plot results as a function of
longitude difference between 0 and 180 degrees. (25 points) 

(3) For sites at 30 degrees
latitude and separated by 90 degrees of longitude, compute the azimuths to be
used along the greater circle path between the two sites. Show results graphically. What is the azimuth at the midpoint
between the two locations? (25 points) 

(4) The Garmin factory is
located at 38.95005 N, 94.74612 W, and it is supposed to be 2029 km at a
bearing from True North of 267 degrees, from N 42.26615, 71.08850 W. Compute what you think the distance
and bearing should be. How well
do your results agree with Garmin.
(25 points) 