Or : Why doesn’t my GPS elevation agree with other measurements of elevation?

Slides:



Advertisements
Similar presentations
Topic II: Measuring the Earth
Advertisements

Navigation Fundamentals
Ch. 7 Earth in Space.
Based on book Datums and Map Projections for Remote Sensing, GIS and Surveying Coordinate systems for the sphere and ellipsoid Three-dimensional.
Map Projections (2/2) Francisco Olivera, Ph.D., P.E. Center for Research in Water Resources University of Texas at Austin.
CS 128/ES Lecture 2b1 Coordinate systems & projections.
Map Projections (1/2) Francisco Olivera, Ph.D., P.E. Center for Research in Water Resources University of Texas at Austin.
Geographic Datums Y X Z The National Imagery and Mapping Agency (NIMA) and the Defense Mapping School Reviewed by:____________ Date:_________ Objective:
GIS Brownbag Series Part 3: Georeferencing and Projections Or… Why does my data not line up?
Map Projections Francisco Olivera, Ph.D., P.E. Srikanth Koka
Map projections CS 128/ES Lecture 3a.
Overview Ellipsoid Spheroid Geoid Datum Projection Coordinate System.
Visualizing Physical Geography Copyright © 2008 John Wiley and Sons Publishers Inc. Chapter 1 The Earth as a Rotating Planet Visualizing Physical Geography.
1 Geodesy for Neutrino Physicists by Wes Smart, Fermilab Based on: “GPS Satellite Surveying” By Alfred Leick, Wiley (1990 ) Geodesy : a branch of applied.
0/27 Merriam-Webster: a branch of applied mathematics concerned with the determination of the size and shape of the earth and the exact positions of points.
Where am I? Lecture 3 CONS 340. Learning Objectives Explain map scale Define geodesy Compare geographic and projected coordinate systems Define spheroids.
Scale Feature that relates distances on a map to distances on Earth
Coordinate Systems in Geodesy By K.V.Ramana Murty, O. S.
You will want to pay attention… there will be a test on this material!!! The Exhilarating World of Geodesy and Map Projections.
Lecture 11: Geometry of the Ellipse 25 February 2008 GISC-3325.
Geography 370 Locating Positions on the Earth
Geodesy and Map Projections Geodesy - the shape of the earth and definition of earth datums Map Projection - the transformation of a curved earth to a.
Faculty of Applied Engineering and Urban Planning Civil Engineering Department Geographic Information Systems Spatial Referencing Lecture 4 Week 6 1 st.
Earth’s relative motion. 1. Kepler’s 1 st law states that planetary orbits are _________________ shapes? 2. Kepler’s 2 nd law states that 2 equal intervals.
Gravity Methods Gravity is not a “constant” 9.78 m/s 2 Responds to local changes in rock density Widely used in oil and gas, mineral exploration, engineering.
VocabEarth’s Spheres Landforms Models of Earth Borders.
More observables: gravity and the geoid Isostasy “Perfect” adjustment not realistic… –Rigid crust, dynamic features in mantle mean that density anomalies.
Coordinate Systems and Projections. Geodesy, Map Projections and Coordinate Systems Geodesy - the shape of the earth and definition of earth datums Map.
Maps Maps show man made and natural features on the Earth's surface ● cat.
Introduction to Cartography GEOG 2016 E Lecture-2 Geodesy and Projections.
All maps will provide you with a Arrow indicating both truth North (the precise top axis of the earth’s spheroid) and a magnetic north which indicates.
Unit 1: Introduction to Topography
Ch2 Sec1 Exploring Earth’s Surface. Key Concepts What does the topography of an area include? What are the main types of landforms? Key Terms – Topography.
Map Basics, partII GEOG 370 Christine Erlien, Instructor.
Representing the Earth
GEOG 268: Cartography Ohio Northern University Winter Hill 200.
OUTLINE:  definition and history  three major models  how are reference shapes used  geodetic systems G EODESY.
Map Projections and Datums Prepared By: Henry Morris.
Geography 70  Basic Geodesy  Map Projections  Coordinate Systems  Scale Locating Positions on the Earth.
Sphere  Round three – dimensional object  Surface same distance from its center point  Earth PROOF: ○ Aristotle saw curved shadow of earth on moon.
© Margaret Frost. During the day, the Sun appears to move across the sky.
Center for Modeling & Simulation.  It is always necessary to unify objects recorded in different coordinate system, into one system using coordinate.
Mapping Earth’s Surface Chapter 1 Review
Mapping Earth’s Surface Chapter 1, Lesson 1. The difference in elevation between the highest and lowest parts of an area. relief.
Exploring Earth’s Surface. Topography- shape of the land (flat, sloping, hilly, or mountainous) Elevation- height above sea level Relief- difference in.
Earth’s Shape and Size Unit 1. The Earth’s Shape Earth’s shape is nearly spherical (Oblate Spheroid) It is flattened at the poles and bulging at the equator.
What causes day and night?
Topography of the earth may be Flat Sloped Hilly Mountainous Topography may be determined by…
Where in the world are we? … A system for describing location on the earth What is the shape of the earth … and how earth’s shape affects the process of.
The Natural Environment. Earth’s shape = Geoid Figure 1.11.
Date: 13/03/2015 Training Reference: 2015 GIS_01 Document Reference: 2015GIS_01/PPT/L2 Issue: 2015/L2/1/V1 Addis Ababa, Ethiopia GIS Coordinate Systems.
Projections and coordinate systems
Gravity Summary In first approximation we can chose for the shape of the Earth an ellipsoid of rotation defined essentially by the degree n=2 m=0 of the.
Earth’s relative motion. 1. Kepler’s 1 st law states that planetary orbits are _________________ shapes? 2. Kepler’s 2 nd law states that 2 equal intervals.
Earth’s Dimensions and Navigation
Aim: How do we know the true shape of Earth? Do Now: Describe the shape of Earth using your own terms.
Czech Technical University in Prague Faculty of Transportation Sciences Department of Transport Telematics Doc. Ing. Pavel Hrubeš, Ph.D. Geographical Information.
Coordinate Systems and Map Projections
What evidence told scientists earth has a curved surface?
Overview Ellipsoid Spheroid Geoid Datum Projection Coordinate System.
Earth’s relative motion
ROTATION REVOLUTION PRECESSION
LO: students will be able to explain why scientists use models to study scientific phenomena. S2a, S4a What’s this? Hint: I’m not a skeleton!
Find the volume of the solid obtained by rotating about the x-axis the region under the curve {image} from x = 2 to x = 3. Select the correct answer. {image}
0/27 Merriam-Webster: a branch of applied mathematics concerned with the determination of the size and shape of the earth and the exact positions of points.
Mapping.
Find the area of the surface obtained by rotating the curve about the x-axis. {image} {image}
Find the area of the surface obtained by rotating the curve about the x-axis. {image}
1-1 The Shape of the Earth Unit 1: Planet Earth September 24, 2011
Presentation transcript:

Or : Why doesn’t my GPS elevation agree with other measurements of elevation?

The Earth is not a perfect sphere.

The Earth is slightly flattened at the poles, and bulges slightly at the equator.

In addition, the surface of the Earth, even at sea level, is not flat and smooth.

Axis of Earth’s Rotation Earth’s Center The “Geoid” (Exaggerated) The “Geoid” represents the global, mean (average) sea level (The “actual” Earth at sea level)

We mathematically represent the Earth in a theoretical model called the “ellipsoid” (a solid ellipse). The “ellipsoid” Center of the ellipsoid

This “model” of the Earth is stored in your GPS unit.

Axis of Earth’s Rotation Earth’s Center The “Geoid” (Exaggerated) The Ellipsoid Center of the Ellipsoid The Geoid and the Ellipsoid do not necessarily coincide.

In current models, the differences between the Geoid and Ellipsoid range from -106 m to +85 m.

The “Geoid” The Ellipsoid Surface measurements (made by surveying) give our height above the GEOID, while GPS measurements give our height above the ELLIPSOID.

Geoid Ellipsoid Earth’s Surface What Do We Measure? Surveying measures our height above the Geoid. GPS measures our height above the Ellipsoid.

The difference you see between your GPS measurement of elevation and that determined by other methods depends, in part, on the local difference between the Geoid and the Ellipsoid.