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geodetic_to_ecef

Convert latitude, longitude, and altitude coordinates to Earth-centered Earth-fixed (ECEF) coordinates for flight planning and aerospace calculations.

Instructions

Convert geodetic coordinates (lat/lon/alt) to Earth-centered Earth-fixed (ECEF) coordinates.

Args: latitude_deg: Latitude in degrees (-90 to 90) longitude_deg: Longitude in degrees (-180 to 180) altitude_m: Altitude above WGS84 ellipsoid in meters

Returns: JSON string with ECEF coordinates

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
latitude_degYes
longitude_degYes
altitude_mNo

Implementation Reference

  • MCP tool handler: wraps library function, formats input/output as JSON with metadata.
    def geodetic_to_ecef(
        latitude_deg: float, longitude_deg: float, altitude_m: float = 0.0
    ) -> str:
        """Convert geodetic coordinates (lat/lon/alt) to Earth-centered Earth-fixed (ECEF) coordinates.
    
        Args:
            latitude_deg: Latitude in degrees (-90 to 90)
            longitude_deg: Longitude in degrees (-180 to 180)
            altitude_m: Altitude above WGS84 ellipsoid in meters
    
        Returns:
            JSON string with ECEF coordinates
        """
        try:
            from ..integrations.frames import geodetic_to_ecef as _geodetic_to_ecef
    
            result = _geodetic_to_ecef(latitude_deg, longitude_deg, altitude_m)
    
            return json.dumps(
                {
                    "input": {
                        "latitude_deg": latitude_deg,
                        "longitude_deg": longitude_deg,
                        "altitude_m": altitude_m,
                    },
                    "output": {
                        "x_m": result["x_m"],
                        "y_m": result["y_m"],
                        "z_m": result["z_m"],
                    },
                    "reference_frame": "WGS84 ECEF",
                    "units": {"position": "meters"},
                },
                indent=2,
            )
    
        except ImportError:
            return "Coordinate conversion not available - geodetic module required"
        except Exception as e:
            logger.error(f"Geodetic to ECEF error: {str(e)}", exc_info=True)
            return f"Geodetic to ECEF error: {str(e)}"
  • Pydantic models for input (GeodeticPoint) and output (CoordinatePoint) validation used by the library function.
    class CoordinatePoint(BaseModel):
        """A point in 3D space with metadata."""
    
        x: float = Field(..., description="X coordinate (m)")
        y: float = Field(..., description="Y coordinate (m)")
        z: float = Field(..., description="Z coordinate (m)")
        frame: str = Field(..., description="Coordinate frame")
        epoch: str | None = Field(None, description="Epoch (ISO format)")
    
    
    class GeodeticPoint(BaseModel):
        """Geodetic coordinates."""
    
        latitude_deg: float = Field(..., description="Latitude in degrees")
        longitude_deg: float = Field(..., description="Longitude in degrees")
        altitude_m: float = Field(..., description="Height above ellipsoid (m)")
  • Registers the geodetic_to_ecef handler function with the FastMCP server.
    mcp.tool(geodetic_to_ecef)
  • Core mathematical implementation: converts geodetic (lat, lon, alt) to ECEF (x,y,z) using WGS84 ellipsoid formula.
    def _manual_geodetic_to_ecef(
        lat_deg: float, lon_deg: float, alt_m: float
    ) -> tuple[float, float, float]:
        """
        Convert geodetic to ECEF coordinates.
        Returns (x, y, z) in meters.
        """
        lat_rad = math.radians(lat_deg)
        lon_rad = math.radians(lon_deg)
    
        sin_lat = math.sin(lat_rad)
        cos_lat = math.cos(lat_rad)
        sin_lon = math.sin(lon_rad)
        cos_lon = math.cos(lon_rad)
    
        # Radius of curvature in prime vertical
        N = EARTH_A / math.sqrt(1.0 - EARTH_E2 * sin_lat**2)
    
        x = (N + alt_m) * cos_lat * cos_lon
        y = (N + alt_m) * cos_lat * sin_lon
        z = (N * (1.0 - EARTH_E2) + alt_m) * sin_lat
    
        return x, y, z
  • Library wrapper: validates inputs and calls manual converter, returns typed CoordinatePoint.
    def geodetic_to_ecef(
        latitude_deg: float, longitude_deg: float, altitude_m: float
    ) -> CoordinatePoint:
        """
        Convert geodetic coordinates to ECEF.
    
        Args:
            latitude_deg: Latitude in degrees (-90 to +90)
            longitude_deg: Longitude in degrees (-180 to +180)
            altitude_m: Height above WGS84 ellipsoid in meters
    
        Returns:
            CoordinatePoint with ECEF coordinates
        """
        if not (-90 <= latitude_deg <= 90):
            raise ValueError("Latitude must be between -90 and +90 degrees")
        if not (-180 <= longitude_deg <= 180):
            raise ValueError("Longitude must be between -180 and +180 degrees")
    
        x, y, z = _manual_geodetic_to_ecef(latitude_deg, longitude_deg, altitude_m)
    
        return CoordinatePoint(x=x, y=y, z=z, frame="ECEF")

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