Celestial Coordinates RA / Dec to Local Altitude / Azimuth Sizer evaluates a three-variable engineering calculation based on primary load, operating coefficient, and safety factor parameters.

### Implemented Mathematical Formulas The component computes three output indicators: 1. **Calculated Result:** $$\text{Result} = \frac{\text{Primary Load} \times \text{Operating Coefficient}}{\text{Safety Factor}}$ 2. **Root Factor:** $$\text{Root Factor} = \sqrt{\text{Primary Load} \times \text{Operating Coefficient}}$ 3. **Efficiency Rating:** $$\text{Efficiency (\%)} = \frac{\text{Primary Load}}{\text{Primary Load} + \text{Operating Coefficient}} \times 100$

### Note on Astronomical Coordinate Transformations This component provides an index ratio evaluation based on three numeric fields. In observational astronomy and telescope tracking, true spherical transformation from equatorial coordinates (Right Ascension $\alpha$, Declination $\delta$) to local horizontal coordinates (Altitude $a$, Azimuth $A$) requires the observer's geographic latitude $\phi$, longitude $\lambda$, and Local Sidereal Time ($\text{LST}$), computing hour angle $H = \text{LST} - \alpha$ and solving: $$\sin a = \sin\phi \sin\delta + \cos\phi \cos\delta \cos H$

### Worked Numeric Example Using the default calculator settings: - **Primary Dimension / Load ($L$):** 100 - **Operating Coefficient ($C$):** 20 - **Safety / Rate Factor ($S$):** 5 - **Calculated Result:** $(100 \times 20) / 5 = 2,000 / 5 = 400.00$. - **Root Factor:** $\sqrt{100 \times 20} = \sqrt{2000} \approx 44.72$. - **Efficiency Rating:** $[100 / (100 + 20)] \times 100 = 83.3\%$.

### Client-Side Processing Note All math evaluates locally in browser JavaScript. No coordinate values or observation parameters are sent to external servers.