geocentricRadius.hpp

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#pragma once
 
#include <cmath>
 
#include "NumCpp/Coordinates/ReferenceFrames/Constants.hpp"
#include "NumCpp/Coordinates/ReferenceFrames/LLA.hpp"
#include "NumCpp/Utils/sqr.hpp"
 
namespace nc::coordinates::transforms
{
    [[nodiscard]] inline double geocentricRadius(const reference_frames::LLA& point) noexcept
    {
        const auto cosLat = std::cos(point.latitude);
        const auto sinLat = std::sin(point.latitude);
        return std::sqrt((utils::sqr(utils::sqr(reference_frames::constants::EARTH_EQUATORIAL_RADIUS) * cosLat) +
                          utils::sqr(utils::sqr(reference_frames::constants::EARTH_POLAR_RADIUS) * sinLat)) /
                         (utils::sqr(reference_frames::constants::EARTH_EQUATORIAL_RADIUS * cosLat) +
                          utils::sqr(reference_frames::constants::EARTH_POLAR_RADIUS * sinLat)));
    }
} // namespace nc::coordinates::transforms