SphericalEquivalentCalculator

Overview

This calculator converts Cartesian coordinates (latitude, longitude, and altitude) to a spherical equivalent coordinate system. It is useful in geospatial applications where converting between coordinate systems is necessary.

How to Use

1. Enter the latitude in degrees (-90 to 90).
2. Enter the longitude in degrees (-180 to 180).
3. Enter the altitude in meters.
4. Click the "Calculate" button to compute the spherical equivalent coordinates.
5. The results will display the spherical radius and the Cartesian coordinates (x, y, z).

Working Principle

The calculator uses the following formulas to convert latitude, longitude, and altitude to Cartesian coordinates and then calculates the spherical radius:

x = (R + altitude) * cos(latitude) * cos(longitude)

y = (R + altitude) * cos(latitude) * sin(longitude)

z = (R + altitude) * sin(latitude)

r = √(x² + y² + z²)

Where:

• R is the Earth's radius (approximately 6,371,000 meters).
• Latitude and longitude are in degrees and converted to radians for calculation.
• Altitude is the height above the Earth's surface in meters.