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Spheroidal distance is the shortest distance between two points on the surface of a sphere, measured along the surface of the sphere (as opposed to a straight line through the sphere's interior). It's an important concept in geodesy and surveying.
The calculator uses the formula:
Where:
Explanation: This formula calculates the spheroidal distance by adding a correction factor to the reduced distance, accounting for the Earth's curvature.
Details: Accurate spheroidal distance calculation is crucial for geodetic surveying, mapping, navigation systems, and any application requiring precise distance measurements over the Earth's surface.
Tips: Enter reduced distance in meters and Earth radius in kilometers. The Earth radius typically ranges from 6,357 km to 6,378 km depending on the location.
Q1: What is the difference between spheroidal distance and straight-line distance?
A: Spheroidal distance follows the curvature of the Earth's surface, while straight-line distance is the direct line through the Earth's interior.
Q2: Why is Earth radius given in kilometers while distance is in meters?
A: The formula is designed to work with these specific units. The Earth radius is typically measured in kilometers while distances are more practical in meters.
Q3: How accurate is this formula?
A: This formula provides a good approximation for spheroidal distance calculations, especially for shorter distances where Earth's curvature effects are significant.
Q4: When should I use spheroidal distance instead of reduced distance?
A: Use spheroidal distance when you need the actual shortest path along the Earth's surface, particularly for navigation and surveying applications.
Q5: Can this formula be used for very long distances?
A: While the formula works for various distances, for extremely long distances (intercontinental), more complex geodetic formulas may be required for higher precision.