cassie_code/src/algorithms/geodesy/index.md

+```markdown
+# Earth Engine Utilities
+
+This code file provides utility functions for geographic calculations using the Google Earth Engine (GEE) service. It includes functions to compute displacement and bearing between geographic coordinates.
+
+## Dependencies
+- Google Earth Engine (GEE) service
+
+## Constants
+- `EARTHS_RADIUS`: The radius of the Earth in meters (6371000 meters).
+
+## Functions
+
+### `toDegrees(lng, lat)`
+Converts longitude and latitude from radians to degrees.
+
+#### Parameters
+- `lng` (ee.Number): Longitude in radians.
+- `lat` (ee.Number): Latitude in radians.
+
+#### Returns
+- `Array`: An array containing the converted longitude and latitude in degrees.
+
+### `toRadians(value)`
+Converts a value from degrees to radians.
+
+#### Parameters
+- `value` (Number): The value in degrees.
+
+#### Returns
+- `ee.Number`: The value converted to radians.
+
+### `computeDisplacement(lng, lat, theta, distance)`
+Computes the new geographic coordinates after moving a certain distance in a specified direction from a starting point.
+
+#### Parameters
+- `lng` (Number): Longitude of the starting point in degrees.
+- `lat` (Number): Latitude of the starting point in degrees.
+- `theta` (Number): Bearing angle in degrees.
+- `distance` (Number): Distance to move in meters.
+
+#### Returns
+- `Array`: An array containing the new longitude and latitude in degrees.
+
+#### Example Usage
+```javascript
+const newCoords = computeDisplacement(-73.935242, 40.730610, 45, 1000);
+console.log(newCoords); // [newLng, newLat]
+```
+
+### `computeBearing(lng1, lat1, lng2, lat2)`
+Computes the bearing angle between two geographic coordinates.
+
+#### Parameters
+- `lng1` (Number): Longitude of the first point in degrees.
+- `lat1` (Number): Latitude of the first point in degrees.
+- `lng2` (Number): Longitude of the second point in degrees.
+- `lat2` (Number): Latitude of the second point in degrees.
+
+#### Returns
+- `ee.Number`: The bearing angle in radians.
+
+#### Example Usage
+```javascript
+const bearing = computeBearing(-73.935242, 40.730610, -74.0060, 40.7128);
+console.log(bearing); // Bearing angle in radians
+```
+
+## Edge Cases and Assumptions
+- Assumes input coordinates are in degrees.
+- Assumes the Earth is a perfect sphere with a radius of 6371000 meters.
+- The functions rely on the Google Earth Engine (GEE) service for numerical operations.
+
+## References
+- [Google Earth Engine API](https://developers.google.com/earth-engine)
+```
+
+