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    <p>It appears that there is no straight forward process to do this. The best method I found is to convert from RAE coordinates to SEZ coordinates, then from SEZ coordinates to ECR coordinates. Here is some C# code I modified to C++ to achieve this:</p> <pre><code>void main() { // NOTE: distances are in meters, while angles are in degrees double siteECR[] = { -763997.48, -5458565.87, 3196706.0 }; double objRAE[] = { 30000.0, 310.0, 18.0 }; double objECR[] = { 0.0, 0.0, 0.0 }; // Should return ~[-764142.7629, -5458517.683, 3217218.18] in objECR RAEtoECR(siteECR, objRAE, objECR); } /************************************************************************************************************************/ /* Converts a Range, Azimuth, Elevation location to a Latitude, Longitude, Altitude location */ /* siteLLA - array holding the Latitude, Longitude, and Altitude of the site location in degrees and meters */ /* rae - array holding the Range, Azimuth, and Elevation, in degrees, of the object viewed from the site location */ /* objECR - destination array to hold the ECR X, Y, Z location in meters */ /************************************************************************************************************************/ void RAEtoECR(double siteECR[], double rae[], double objECR[]) { double tempSEZ[] = { 0.0, 0.0, 0.0 }; double siteLLA[] = { 0.0, 0.0, 0.0 }; ECRtoLLA(siteECR, siteLLA); RAEtoSEZ(siteLLA, objRAE, tempSEZ); SEZtoECR(siteLLA, tempSEZ, objECR); } /************************************************************************************************************************/ /* Converts a Range, Azimuth, Elevation location to a South, East, Zenith location */ /* siteLLA - array holding the Latitude, Longitude, and Altitude of the site location in degrees and meters */ /* rae - array holding the Range, Azimuth, and Elevation, in degrees, of the object viewed from the site location */ /* sez - destination array to hold the South, East, and Zenith coordinates of the object being viewed in meters */ /************************************************************************************************************************/ void RAEtoSEZ(double siteLLA[], double rae[], double sez[]) { double range, azimuth, elevation; range = rae[0]; azimuth = rae[1]; elevation = rae[2]; // Compute needed math double slat = sin(Deg2Rad(siteLLA[0])); double slon = sin(Deg2Rad(siteLLA[1])); double clat = cos(Deg2Rad(siteLLA[0])); double clon = cos(Deg2Rad(siteLLA[1])); // Convert to radians azimuth = DEG2RAD(azimuth); elevation = DEG2RAD(elevation); // Convert sez[0] = -range * cos(elevation) * cos(azimuth); sez[1] = range * cos(elevation) * sin(azimuth); sez[2] = range * sin(elevation); } /************************************************************************************************************************/ /* Converts a South, East, Zenith location to an ECR X, Y, Z location */ /* siteLLA - array holding the Latitude, Longitude, and Altitude of the site location in degrees and meters */ /* sez - array holding the South, East, and Zenith coordinates of the object being viewed in meters */ /* ecr - destination array to hold the ECR X, Y, Z location in meters */ /************************************************************************************************************************/ void SEZtoECR(double siteLLA[], double sez[], double ecr[]) { // Convert siteLLA to XYZ double[] siteXYZ = { 0.0, 0.0, 0.0 }; LLAtoECR(siteLLA, siteXYZ); double south, east, zenith; south = sez[0]; east = sez[1]; zenith = sez[2]; // Compute needed math double slat = sin(Deg2Rad(siteLLA[0])); double slon = sin(Deg2Rad(siteLLA[1])); double clat = cos(Deg2Rad(siteLLA[0])); double clon = cos(Deg2Rad(siteLLA[1])); // Convert ecr[0] = ( slat * clon * south) + (-slon * east) + (clat * clon * zenith) + siteXYZ[0]; ecr[1] = ( slat * slon * south) + ( clon * east) + (clat * slon * zenith) + siteXYZ[1]; ecr[2] = (-clat * south) + ( slat * zenith) + siteXYZ[2]; } </code></pre>
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    1. POGet ECEF XYZ given starting coordinates, range, azimuth, and elevation
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    1. POGet ECEF XYZ given starting coordinates, range, azimuth, and elevation
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