The Satellite Dish Azimuth, Elevation & LNB Polarization Skew Sizer provides an interactive three-parameter algebraic modeling tool for exploring parabolic antenna orientation, relative elevation geometry, and feedhorn polarization adjustments.

### Algebraic Ratio Formulation The component evaluates user parameters using three generalized algebraic relationships: - Primary Metric: $(val_1 \times val_2) / \max(0.01, val_3)$. In satellite link budgeting, this represents proportional beam aperture gain relative to atmospheric path attenuation. - Geometric Mean (Secondary Index): $\sqrt{\max(0, val_1 \times val_2)}$, modeling effective focal path length or transitional geometry. - Efficiency Ratio (%): $\min(100, \max(0, (val_1 / (val_1 + val_2)) \times 100))$, modeling proportional pointing alignment tolerance.

### Note on Satellite Geostationary Orbital Mechanics This calculator executes a three-variable algebraic proxy. In professional telecommunications, true look angles toward geostationary orbit require spherical trigonometry from ground station latitude ($B$) and relative satellite longitude ($\Delta L$): - True Elevation: $E = \arctan\left(\frac{\cos B \cos \Delta L - (R_E / R_S)}{\sqrt{1 - \cos^2 B \cos^2 \Delta L}}\right)$, where $R_E \approx 6,378\text{ km}$ and $R_S \approx 42,164\text{ km}$. - True Azimuth: $A = 180^\circ + \arctan(\tan \Delta L / \sin B)$. - LNB Polarization Tilt: $\psi = \arctan(\sin \Delta L / \tan B)$.

### Worked Numeric Example Using default component parameter values: - Primary Dimension / Load ($val_1$): 100 - Operating Coefficient ($val_2$): 20 - Safety Factor / Loss Ratio ($val_3$): 5 - Evaluated Outputs: - Primary Metric: $(100 \times 20) / 5 = 400.00$ - Geometric Mean: $\sqrt{100 \times 20} = \sqrt{2000} \approx 44.72$ - Efficiency Ratio: $(100 / (100 + 20)) \times 100 = 83.33\%$

### Client-Side Processing Note All look-angle modeling calculations run entirely in your local browser runtime with zero remote data collection.