Examples
Examples
Try the starting example
- Satellite design rows [east,north,up,clock]
- [[1,0,0,1],[-1,0,0,1],[0,1,0,1],[0,0,1,1],[0,-1,-1,1]]
- HDOP, VDOP, PDOP, TDOP, GDOP
- [1.08012344973,0.816496580928,1.35400640077,0.4472135955,1.42594997575]
- Geometry covariance matrix
- [[0.5,0,0,0],[0,0.666666666667,-0.333333333333,0],[0,-0.333333333333,0.666666666667,0],[0,0,0,0.2]]
Try another scenario
- Satellite design rows [east,north,up,clock]
- [[1,0,0,1],[-1,0,0,1],[0,1,0,1],[0,0,1,1],[0,-2,-1,1]]
- HDOP, VDOP, PDOP, TDOP, GDOP
- [0.925820099773,0.925820099773,1.30930734142,0.462910049886,1.38873014966]
- Geometry covariance matrix
- [[0.5,0,0,0],[0,0.357142857143,-0.357142857143,0.0714285714286],[0,-0.357142857143,0.857142857143,-0.0714285714286],[0,0.0714285714286,-0.0714285714286,0.214285714286]]
Calculation method
Calculation method
HDOP, VDOP, PDOP, TDOP, GDOP
Covariance Q=(G transpose G)^−1 under equal independent unit observation variance.
Geometry covariance matrix
Invert normal matrix with pivoting; rank-deficient geometry rejected.
Symbols and units
- a
- Satellite design rows [east,north,up,clock]
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Supplied satellite geometry matrix. Returns Geometric dilution measures. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.