lecture 2 Flashcards
why is it complicated to define coordinates
- flat 2D maps are distorted
- earth is not a perfect sphere
- all measures contain some error
what is the earths shape
an oblate spheriod ellipsoid
earth –> ellipsoid
mathmatical representation
ellipsoid
used as a reference surface for horizontal coordinates
3D reference shape based on ellipse
- polar flattening and eccentricity
- around 30 ellipsoids used
geoid
earth shaped
- made from precise measurements of gravity
- vertical reference surface
relationship of ellipsoid vs geoid
earths surface bulges above or depressed below ellipsoid
ellipsoid replicates approximate shape of earth (horizontal)
- geod replicates vertical structure
ellipsoid/ geod –> datum (reference surface)
mathmatical empirical definition
datum
use info about the size and shape of the earth (ellipsoids and geoids) with a reference point to describe the location of other points on the earth
horizontal –> ellipsoid
vertical (elevation) –> geoid
horizontal datums
local - north american datum NAD
global - world geodetic system of 1984 WGS84
vertical datums
origin or zero point based on geoid
mean sea level to approximate height
- global: global sea level observing system (GSLOS)
- local: US national geodetic vertical datum (NAVD88)
datum (reference surface) –> globe
physical measurements
what is a coordinate system
system used to register and measure horizontal and vertical locations on the Earth
- movement over x and y axis
lat/long
latitude- angular distance from the equator
- going up the ladder
longitude- angular distance from prime meridian
- lengthwise
parallels & meridians
parallels: lines of latitude are the same distance apart
0-90
meridians: lines of longitude are varying distances
0-180
formats of geographic coordinates
decimal degrees:
ddd degree mm’ss”
minutes seconds :
123.3656
what is a map projection
arrangement of the coordinates of a 3D earth onto a 2D plane
- planar, cylinder, conic
projection properties
line or point on a map has to be the same scale as the reference globe
- aim to preserve geographic properties
ex. area, angles, distances, directions, compromise
exmaples of projections
albers equal area conic- maintains size
lambert conformal conic- maintain angles
lambert azimuthal equal area- maintain area
azimuthal equidistant- maintain distances
mollweide equal area- maintain area
goodes homolosine interrupted- methods of area and shape
scale factor
map scale is an average scale
if no distortion: SF 1.0
if stretched: SF > 1
if compressed: SF < 1
UTM (universal transverse mercator)
projected coordinate system
- easting and northing
what do GPS coordinates depend on
- how to take points on a 3D surface and translate onto 2D
- the models we use to describe the earth (ellipsoid and geoid)
- measurements we reference our coordinates to (datum)