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Questions and Answers
What is a geodetic datum and why is it important for measuring the Earth?
What is a geodetic datum and why is it important for measuring the Earth?
A geodetic datum is a reference system that defines a coordinate system to approximate the Earth's shape, enabling accurate positioning and measurements on its curved surface.
How does the geoid relate to sea level and gravity?
How does the geoid relate to sea level and gravity?
The geoid is always perpendicular to gravity and coincides with the sea surface, meaning that the sea surface acts as a reference for measuring elevation.
Explain the relationship between the ellipsoid and the geoid.
Explain the relationship between the ellipsoid and the geoid.
The ellipsoid is a mathematically perfect shape used for mapping and calculations. The geoid is the true shape of the Earth, which includes irregularities caused by mountains, valleys, and variations in gravitational pull.
What standard model is currently used to represent the ellipsoid, and what is its significance?
What standard model is currently used to represent the ellipsoid, and what is its significance?
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Define meridians and their relevance to measuring longitude.
Define meridians and their relevance to measuring longitude.
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Discuss the significance of latitude in geographical measurements.
Discuss the significance of latitude in geographical measurements.
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What are the key characteristics that define the geoid?
What are the key characteristics that define the geoid?
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Why is elevation discussed with reference to the geoid rather than the land surface?
Why is elevation discussed with reference to the geoid rather than the land surface?
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What is the main advantage of using map projections?
What is the main advantage of using map projections?
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How do cylindrical normal and cylindrical transversal projections differ in their application?
How do cylindrical normal and cylindrical transversal projections differ in their application?
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What is the purpose of using secant projection models?
What is the purpose of using secant projection models?
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Describe the purpose and characteristics of the Universal Transverse Mercator (UTM) system.
Describe the purpose and characteristics of the Universal Transverse Mercator (UTM) system.
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What is the main difference between the RT90 and SWEREF 99 TM coordinate systems?
What is the main difference between the RT90 and SWEREF 99 TM coordinate systems?
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Why was the SWEREF 99 TM system adopted in Sweden over RT90?
Why was the SWEREF 99 TM system adopted in Sweden over RT90?
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Explain what a graticule is in the context of map projections.
Explain what a graticule is in the context of map projections.
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What is the significance of the central meridian in both RT90 and SWEREF 99 TM projections?
What is the significance of the central meridian in both RT90 and SWEREF 99 TM projections?
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What is a cylindrical transversal projection best used for?
What is a cylindrical transversal projection best used for?
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What is the significance of longitudes ranging from -180° to 180° in the polar coordinate system?
What is the significance of longitudes ranging from -180° to 180° in the polar coordinate system?
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What is a nautical mile and how does it relate to latitude?
What is a nautical mile and how does it relate to latitude?
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How does the elliptical shape of the Earth impact the accuracy of geodetic datums?
How does the elliptical shape of the Earth impact the accuracy of geodetic datums?
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Define geoid height and its relevance in geospatial measurements.
Define geoid height and its relevance in geospatial measurements.
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What distinguishes local ellipsoids from global ellipsoids?
What distinguishes local ellipsoids from global ellipsoids?
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Explain the concept of scale distortion in map projections.
Explain the concept of scale distortion in map projections.
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What are conformal projections and where are they most useful?
What are conformal projections and where are they most useful?
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What happens to direction during the process of creating a map projection?
What happens to direction during the process of creating a map projection?
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How is latitude measured in an ellipsoid coordinate system?
How is latitude measured in an ellipsoid coordinate system?
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Describe the relationship between the equatorial radius and the polar radius of the Earth.
Describe the relationship between the equatorial radius and the polar radius of the Earth.
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What is the role of the Earth Gravity Model (EGM 96) in geospatial analysis?
What is the role of the Earth Gravity Model (EGM 96) in geospatial analysis?
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What does the term 'direction-invariant' mean in the context of map projections?
What does the term 'direction-invariant' mean in the context of map projections?
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How does one convert from polar coordinates (latitude and longitude) to Cartesian coordinates (easting and northing)?
How does one convert from polar coordinates (latitude and longitude) to Cartesian coordinates (easting and northing)?
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Why is WGS84 considered a standard reference for global mapping?
Why is WGS84 considered a standard reference for global mapping?
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Study Notes
Geodetic Datum
- A geodetic datum is a reference system defining a coordinate system to approximate the Earth's shape. It allows accurate positioning on Earth's curved surface.
Geodesy
- The study of Earth's size, shape, and measurements.
Earth's Surface & Geoid
- Earth's surface is uneven, so sea level is approximated.
- Sea level is always perpendicular to gravity.
- The geoid is a surface perpendicular to gravity everywhere and perfectly coincides with the sea surface (minus tides).
- Elevation is measured from the geoid, which is treated as the sea surface.
- An ellipsoid (a simplified 3D model) is fitted to the geoid, with the average distance between them set to zero, approximating Earth's shape.
- WGS 84 (World Geodetic System 1984) is the modern international standard.
- For accurate land positioning, coordinates based on WGS84 ellipsoid are used.
- Geoid represents the true shape of the Earth, accounting for gravitational variations.
- Elevation above sea level is the distance from the geoid.
Meridians and Latitude
- Meridians are lines of longitude. The distance between meridians is zero at the poles and maximum at the equator. (like orange slices)
- Latitude is a north-south measurement. The distance between latitudes is consistent and independent of longitude. (latitudes are parallel)
- Polar Coordinate systems use (degrees, minutes, seconds) for longitudes and latitudes.
- Longitudes range from -180° to +180°.
- West of Greenwich longitude is negative in digital maps.
- 1 degree = 60 arc minutes, 1 arc minute = 60 arc seconds.
- Coordinate Systems can use Degrees, Minutes, Seconds, or decimal degrees
Longitudinal Distance
- Varies with latitude.
- Nautical mile (at equator): 1852 meters (1 nautical minute = 1852 meters)
- Knot: a speed of 1 nautical mile per hour.
- Cable length = 1/10 nautical mile
The Ellipsoid Earth
- Earth is slightly flattened at the poles.
- Earth has more mass at the equator than at the poles.
- Ellipsoid shape varies depending on location; using WGS84 may not be accurate for every country. Requires different national datums for accuracy in local regions
- An ellipsoid is defined by its rotational axis and two radii: a (major radius towards the equator) and b (minor radius towards the pole).
- The difference between the semi-major axis and semi-minor axis (a-b) is expressed in meters.
Ellipsoid vs. Geoid
- Ellipsoid is a mathematical model for mapping.
- Geoid accounts for Earth's irregular gravitational pull.
Geoid Height (N)
- Distance between the geoid and the Earth's ellipsoid model.
- WGS84's geoid height is approximately zero.
- The calculation is dependent on gravity variations (thus it's easily measured).
- Earth Gravity Model 1996 (EGM96) provides geoid height data at different locations to calculate the distance between the geoid and the WGS 84.
Geodetic Datum
- Local datums are used for specific regions, closely approximating the geoid in that particular area.
- Global datums (like WGS84) are used worldwide but may not perfectly match the geoid everywhere.
Map Projections
- Represent the curved Earth on a flat surface.
- Distortion is inevitable; scale, direction, & shape can be altered.
Projection Types
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Conformal Projections: Maintain angles and shapes.
- Widely used in official maps and navigation due to its accuracy in angles and shape for local maps.
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Equal-Area Projections: Maintain area sizes.
- Useful for presenting global data or calculating areas
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Cylindrical Projections: Represent the Earth projected onto a cylinder; normal (meets at equator) and transverse (can be rotated to meet at any meridian).
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Planar/Azimuthal Projections: A flat sheet touches the Earth at a point. Tangential.
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Conic Projections: Projected onto a cone; can be tangential (touches at one point) or secant (intersects the surface at two lines).
Coordinate Systems
- Cartesian coordinates (x, y): Used on flat maps.
- Easting (x) = horizontal.
- Northing (y) = vertical.
- Polar coordinates (φ, λ): Used with the spherical Earth.
- Latitude (φ).
- Longitude (λ).
Projections by Distortion
- Distortion (on maps) is introduced in transferring a globe onto a flat map where it’s projected.
Secant Projections
- Use two secant lines to reduce scale distortion.
UTM Projection (Universal Transverse Mercator)
- Divides the world into 60 zones, each 6° wide.
- Accurate in specific zones (smaller areas) due to reducing distortion.
National Datums (Example: Sweden)
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RT90: Older Swedish datum; less compatible with global systems.
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SWEREF 99 TM: Modern, accurate, and compatible with global positioning systems (GPS).
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Older datums may be needed for older datasets.
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Description
This quiz explores the concepts of geodetic datum and geodesy, focusing on the Earth's shape, size, and measurement techniques. It emphasizes the importance of the geoid and its relation to sea level, as well as the World Geodetic System 1984. Test your understanding of these foundational topics in Earth sciences.