nrel-spa/.wiki/Twilight-Calculations.md
Aric Camarata b44d9a958b v2.0.0: TypeScript rewrite with dual CJS/ESM build
Complete modernization of the package. The core SPA algorithm is
unchanged and validated; everything else is rebuilt to match current
JavaScript ecosystem standards.

Changes:
- TypeScript wrapper in src/ with full type definitions
- Dual CJS/ESM build via tsup (dist/index.cjs, dist/index.mjs)
- Core algorithm moved from dist/spa.js to lib/spa.js (same code)
- Input validation with descriptive TypeError/RangeError messages
- formatTime() and SPA function code constants as named exports
- getSpa() / calcSpa() accept null for optional args (tz, options)
- Test suite: 61 ESM assertions and 17 CJS assertions
- GitHub Actions CI: Node 20/22/24 matrix, typecheck, pack-check
- GitHub Wiki: Home, API Reference, Architecture, Twilight, NREL SPA
- NREL attribution in LICENSE and README per their license terms
- package.json: exports map, files, engines >=20, sideEffects: false
- Author corrected to Aric Camarata; repository.url uses git+https://
- LICENSE year corrected to 2023-2026
- Removed: index.js, test.js, dist/spa.js (superseded by above)
2026-02-25 11:01:38 -05:00

89 lines
3.3 KiB
Markdown

# Twilight Calculations
Standard sunrise and sunset use a zenith angle of approximately 90.833 degrees (90 degrees plus atmospheric refraction and solar disc radius). Twilight is defined by the sun's position below the horizon, expressed as the zenith angle it occupies.
## Standard Twilight Definitions
| Type | Zenith Angle | Description |
| --- | --- | --- |
| Sunrise / Sunset | ~90.833 | Center of sun at horizon (accounting for refraction) |
| Civil twilight | 96 | Sufficient light for outdoor activities without artificial light |
| Nautical twilight | 102 | Horizon visible; used for celestial navigation |
| Astronomical twilight | 108 | Sky fully dark enough for astronomical observation |
## Usage
Pass an array of zenith angles as the sixth argument to `getSpa()` or `calcSpa()`. The function returns an `angles` array, one entry per input angle, each with `sunrise` and `sunset` for that zenith threshold.
```javascript
import { calcSpa } from 'nrel-spa';
const result = calcSpa(
new Date('2025-06-21T00:00:00Z'),
40.7128, // New York
-74.006,
-4, // EDT
{}, // default options
[96, 102, 108], // civil, nautical, astronomical
);
console.log(result.sunrise); // "05:25:03" (standard)
console.log(result.angles[0].sunrise); // civil twilight begin
console.log(result.angles[1].sunrise); // nautical twilight begin
console.log(result.angles[2].sunrise); // astronomical twilight begin
```
Expected output for New York, June 21, 2025:
| Event | Time |
| --- | --- |
| Astronomical twilight begin | ~03:57 |
| Nautical twilight begin | ~04:28 |
| Civil twilight begin | ~04:53 |
| Sunrise | ~05:25 |
| Sunset | ~20:30 |
| Civil twilight end | ~21:02 |
| Nautical twilight end | ~21:27 |
| Astronomical twilight end | ~21:58 |
## How It Works
The base `getSpa()` calculation computes the sun's declination (`delta`) and solar noon (`suntransit`) for the given date and location. For each custom zenith angle `Z`, the function solves the hour angle equation:
```
cos(H0) = (cos(Z) - sin(lat) * sin(delta)) / (cos(lat) * cos(delta))
```
where `H0` is the hour angle at the zenith crossing. The rise and set times follow from:
```
sunrise = suntransit - H0 / 15 (H0 in degrees, result in hours)
sunset = suntransit + H0 / 15
```
If `|cos(H0)| > 1`, the sun never crosses that zenith angle at the given latitude and date. The function returns `NaN` for sunrise and sunset in that case.
## Polar Cases
At high latitudes during summer (midnight sun), the sun may not set even at the standard horizon. It certainly will not cross deeper zenith angles like 96 or 102 degrees. Check for `NaN` or `isFinite()` on the result:
```javascript
import { getSpa } from 'nrel-spa';
const r = getSpa(
new Date('2025-06-21T00:00:00Z'),
71, 25, 2, {}, [96],
);
if (r.angles && !isFinite(r.angles[0].sunrise)) {
console.log('No civil twilight at this latitude/date');
}
```
## Islamic Prayer Application
This twilight mechanism is used by [pray-calc](https://www.npmjs.com/package/pray-calc) to compute Fajr and Isha prayer times, which are defined by the sun's position below the horizon at specific angles (typically 15-18 degrees below, equivalent to zenith angles of 105-108 degrees).
---
[Home](Home) . [API Reference](API-Reference) . [Architecture](Architecture) . [NREL SPA Algorithm](NREL-SPA-Algorithm)