3D GPS Distance Calculator (ECEF) & Formula

The 3D Geometric Distance GPS Calculator computes the straight-line distance between a GPS satellite and the receiver in Earth-Centered, Earth-Fixed (ECEF) coordinates. This geometric range is fundamental for positioning since it represents the true spatial separation before clock and atmospheric corrections.

GPS Geometric Distance Calculator

INPUTS:

• Receiver position (ECEF) : (1910, 4800, 3990) Km
• Satellite position (ECEF) : (15600 , 7540 , 20140) km

OUTPUTS:

• Geometric Range in meters = 24564797.98
• Geometric Range in Km =24564.79

GPS Geometric Distance Formula

Benefits/Applications

• Converts satellite and receiver positions in ECEF to an accurate 3D distance.
• Essential in GNSS positioning, satellite orbit analysis, and measurement modeling.
• Supports advanced applications like 3D mapping and navigation system calibration.

Summary: This calculator provides the geometric backbone for any GPS solution, enabling deeper analysis of measurement models and accuracy impacts