Geodesy and Geodetic Datum Overview
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Questions and Answers

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?

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.

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?

<p>The World Geodetic System 84 (WGS84) is the current international standard ellipsoid used to represent the Earth's shape and size for precise positioning.</p> Signup and view all the answers

Define meridians and their relevance to measuring longitude.

<p>Meridians are lines of longitude that measure the distance east or west from the Prime Meridian, with distances equal at the equator but converging at the poles.</p> Signup and view all the answers

Discuss the significance of latitude in geographical measurements.

<p>Latitude measures the distance north or south of the equator and is parallel, meaning the distance between latitudes is constant regardless of longitude.</p> Signup and view all the answers

What are the key characteristics that define the geoid?

<p>The geoid reflects the Earth's true shape, incorporating irregularities from mountains, valleys, and variations in gravitational pull.</p> Signup and view all the answers

Why is elevation discussed with reference to the geoid rather than the land surface?

<p>Elevation is based on the distance from the geoid because the geoid provides a consistent and accurate reference level that accounts for variations in land surface.</p> Signup and view all the answers

What is the main advantage of using map projections?

<p>Map projections allow the representation of Earth's curved surface on flat maps for navigation and analysis, despite inevitable distortions.</p> Signup and view all the answers

How do cylindrical normal and cylindrical transversal projections differ in their application?

<p>Cylindrical normal projections touch the Earth along the equator, while cylindrical transversal projections can be rotated to touch the Earth along any meridian.</p> Signup and view all the answers

What is the purpose of using secant projection models?

<p>Secant projection models reduce distortion by allowing the projection paper to cut through the Earth's surface at two lines instead of just touching it.</p> Signup and view all the answers

Describe the purpose and characteristics of the Universal Transverse Mercator (UTM) system.

<p>UTM divides the world into 60 zones for accurate mapping, centered on lines of longitude, significantly reducing distortion for localized maps.</p> Signup and view all the answers

What is the main difference between the RT90 and SWEREF 99 TM coordinate systems?

<p>RT90 is an older system developed in 1990 based on a different ellipsoid, while SWEREF 99 TM is a modern system, introduced in 2000, that uses the WGS 84 ellipsoid for better global compatibility.</p> Signup and view all the answers

Why was the SWEREF 99 TM system adopted in Sweden over RT90?

<p>SWEREF 99 TM was adopted due to its better accuracy and compatibility with global GPS systems compared to the older RT90 system.</p> Signup and view all the answers

Explain what a graticule is in the context of map projections.

<p>A graticule is the distorted grid of longitudes and latitudes projected onto a flat surface representing the Earth's curvature.</p> Signup and view all the answers

What is the significance of the central meridian in both RT90 and SWEREF 99 TM projections?

<p>The central meridian for both RT90 and SWEREF 99 TM is at 15° east longitude, which serves as a reference point for coordinate systems in Sweden.</p> Signup and view all the answers

What is a cylindrical transversal projection best used for?

<p>Cylindrical transversal projections are best used for mapping regions located in extreme north or south due to their flexible orientation along meridians.</p> Signup and view all the answers

What is the significance of longitudes ranging from -180° to 180° in the polar coordinate system?

<p>It allows for a full 360° coverage of the Earth, establishing east and west directions from the Prime Meridian.</p> Signup and view all the answers

What is a nautical mile and how does it relate to latitude?

<p>A nautical mile is approximately 1852 meters and is defined as one minute of arc along a meridian, varying in real distance with latitude.</p> Signup and view all the answers

How does the elliptical shape of the Earth impact the accuracy of geodetic datums?

<p>The elliptical shape causes variations in geoid height, making some national datums necessary for accurate local measurements.</p> Signup and view all the answers

Define geoid height and its relevance in geospatial measurements.

<p>Geoid height is the difference between the geoid and the ellipsoid, crucial for accurate surveying and GPS measurements.</p> Signup and view all the answers

What distinguishes local ellipsoids from global ellipsoids?

<p>Local ellipsoids are tailored for specific regions, aligning closely with the geoid, while global ellipsoids serve a worldwide purpose.</p> Signup and view all the answers

Explain the concept of scale distortion in map projections.

<p>Scale distortion occurs when areas or distances on a map do not accurately represent their real-world sizes.</p> Signup and view all the answers

What are conformal projections and where are they most useful?

<p>Conformal projections preserve angles and shapes accurately, making them useful for local maps and navigation.</p> Signup and view all the answers

What happens to direction during the process of creating a map projection?

<p>Direction can become distorted, as no projection can preserve both scale and direction simultaneously.</p> Signup and view all the answers

How is latitude measured in an ellipsoid coordinate system?

<p>Latitude is measured as the angle between the equator plane and a line perpendicular to the surface at a given point.</p> Signup and view all the answers

Describe the relationship between the equatorial radius and the polar radius of the Earth.

<p>The equatorial radius is larger than the polar radius due to the Earth's slight oblateness, causing it to be flattened at the poles.</p> Signup and view all the answers

What is the role of the Earth Gravity Model (EGM 96) in geospatial analysis?

<p>EGM 96 measures variations between the geoid and the WGS84 surface, aiding in understanding Earth's gravity field.</p> Signup and view all the answers

What does the term 'direction-invariant' mean in the context of map projections?

<p>Direction-invariant projections preserve angles but may distort area, ensuring accurate directional representation.</p> Signup and view all the answers

How does one convert from polar coordinates (latitude and longitude) to Cartesian coordinates (easting and northing)?

<p>Projections use mathematical formulas to transform latitude and longitude values into x (easting) and y (northing) coordinates.</p> Signup and view all the answers

Why is WGS84 considered a standard reference for global mapping?

<p>WGS84 provides a consistent framework for positioning worldwide, despite local variations in geoid height.</p> Signup and view all the answers

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

  • Conformal Projections: Maintain angles and shapes.

    • Widely used in official maps and navigation due to its accuracy in angles and shape for local maps.
  • Equal-Area Projections: Maintain area sizes.

    • Useful for presenting global data or calculating areas
  • Cylindrical Projections: Represent the Earth projected onto a cylinder; normal (meets at equator) and transverse (can be rotated to meet at any meridian).

  • Planar/Azimuthal Projections: A flat sheet touches the Earth at a point. Tangential.

  • 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)

  • RT90: Older Swedish datum; less compatible with global systems.

  • SWEREF 99 TM: Modern, accurate, and compatible with global positioning systems (GPS).

  • 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.

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