CALCULATOR
Sphere Equation Residual at a Point Calculator
Sphere Equation Residual at a Point. Example: Cx: 0 m, Cy: 0 m, Cz: 0 m, Px: 1 m, Py: 2 m, Pz: 2 m, Radius: 3 m gives 0 m². Scalar residual with projected schematic, numerical sphere equation only. Original useful product scope; historical catalog title does not grant missing modes or source parity.
Scalar residual with projected schematic, numerical sphere equation only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Evaluate standard sphere equation at supplied Cartesian point.
Accepted inputs: Cx: -1,000 to 1,000 m; Cy: -1,000 to 1,000 m; Cz: -1,000 to 1,000 m; Px: -1,000 to 1,000 m; Py: -1,000 to 1,000 m; Pz: -1,000 to 1,000 m; Radius: 0.1 to 1,000 m.
How the calculation works
R=Σj(pj-cj)²-r²
Worked example
With cx 0 m, cy 0 m, cz 0 m, px 1 m, py 2 m, pz 2 m, radius 3 m, sphere equation residual at a point is 0 m².
Assumptions and limits
Scalar residual with projected schematic, numerical sphere equation only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Evaluate standard sphere equation at supplied Cartesian point.