GEOGRAPHY & CARTOGRAPHY CALCULATOR Transformationgrs80 Ellipsoid A precise tool.
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What is the Transformationgrs80 Ellipsoid & How does it work?
The GRS80 ellipsoid is the reference surface adopted by the International Terrestrial Reference Frame and many modern GNSS networks. Its semi‑major axis (a = 6β€―378β€―137β€―m) and flattening (f = 1/298.257222101) provide a near‑global fit to the geoid. Transforming coordinates from a local or historic ellipsoid to GRS80 requires accounting for differences in size and shape. The classic Molodensky‑Bade transformation uses the source ellipsoid’s semi‑major axis (aβ‚›) and flattening (fβ‚›) together with translation parameters to compute corrected latitude, longitude, and height.
f = frac{a – b}{a}
f = flattening, a = semi‑major axis, b = semi‑minor axis
In practice the transformation is performed by first converting the input geodetic coordinates to Cartesian XYZ, applying the translation vectors, and finally converting back to geodetic coordinates on the GRS80 ellipsoid.
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Parameters
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Frequently Asked Questions
What is the semi-major axis of the GRS80 ellipsoid?
The semi-major axis of the GRS80 ellipsoid is 6,378,137 meters.
How does the flattening of the GRS80 ellipsoid affect its shape?
The flattening (f = 1/298.257222101) causes the ellipsoid to be slightly flattened at the poles and bulging at the equator.
Why is the GRS80 ellipsoid used in modern GNSS networks?
The GRS80 ellipsoid provides a near-global fit to the geoid, making it suitable for use in modern GNSS networks and the International Terrestrial Reference Frame.
What is the Molodensky-Bade transformation used for?
The Molodensky-Bade transformation is used to convert coordinates from a local or historic ellipsoid to the GRS80 ellipsoid, accounting for differences in size and shape.
Can I use this calculator for datum conversion?
Yes, you can use this calculator to transform coordinates from different datums to the GRS80 ellipsoid.
What are the key parameters of the GRS80 ellipsoid?
The key parameters of the GRS80 ellipsoid include its semi-major axis (6,378,137 meters) and flattening (1/298.257222101).
How does the GRS80 ellipsoid differ from other ellipsoids?
The GRS80 ellipsoid differs from other ellipsoids in its specific semi-major axis and flattening values, which provide a better fit to the Earth’s shape for global applications.

Results are for informational purposes only and do not constitute professional advice.