MAP PROJECTIONS

1
MAP PROJECTIONS

• Doç.Dr. Öztug Bildirici

2
Homework 1

• Calculate the azimuth and length of the rhumbline
  from A to B.
• Calculate the latitudes of 3 intermediate points,
  starting from A, with 5º difference in longitude
  interval (??5º)
• R6371 km.

This part should be your faculty number!
3
Homework 2

• You will investigate the distortion of the
  lengths in gonomonic, streographic and
  orthographic projections. For this purpose you
  select a projection center (O), and a two
  arbitrary points (P1 and P2).
• For the comparison you will calculate the great
  circle distance between P1 and P2 and the
  corresponding distances in each projection.
• Finally you will form a table as shown below.
  (R6371)

04 gtgtthe first two digits of your faculty
number! 27 gtgtthe last two digits of your faculty
number! for example 041205027
If the last two digits is greater than 60,
subtract 60!
4
Homework 3

• You will investigate the distortion of the
  lengths in Lambert Projections, with one (40ºN)
  and two standard parallels (37ºN and 41ºN).The
  longitude of the central Meridian is 33ºE.
• The Origin of the plane coordinate system is
  40ºN, 33ºE.
• For the comparison you will calculate the great
  circle distance between P1 and P2 and the
  corresponding distances in each projection.
• Finally you will form a table as shown below.
  (R6371)

04 gtgtthe first two digits of your faculty
number! 27 gtgtthe last two digits of your faculty
number! for example 041205027
If the last two digits is greater than 60,
subtract 60!
5
Homework 4

• Two points with geographical coordinates are
  given. Calculate the Cartesian coordinates of
  these points on the projection plane. Use the
  polar Mercator projection (R6371km).
• Calculate the azimuth and the length of the line
  P1 P2 on the projection plane.
• Calculate the azimuth and the length of the rhumb
  line from P1 to P2 (on the sphere).

04 gtgtthe first two digits of your faculty
number! 27 gtgtthe last two digits of your faculty
number! for example 041205027
If the last two digits is greater than 60,
subtract 60!
6
Homework 5

• You will investigate the distortion of the
  lengths in polar, oblique and transverse
  streographic projections. For this purpose two
  arbitrary points are given (P1 and P2). O is the
  projection center for the oblique projection. For
  the transverse projection use the central
  meridian of 33E.
• For the comparison you will calculate the great
  circle distance between P1 and P2 and the
  corresponding distances in each projection.
• Finally you will form a table as shown below.
  (R6371)

04 gtgtthe first two digits of your faculty
number! 27 gtgtthe last two digits of your faculty
number! for example 041205027
If the last two digits is greater than 60,
subtract 60!