relative azimuth angle derivations

  1. relative azimuth angle from sensor and solar azimuth angle

    symbol

    description

    unit

    variable name

    \(\varphi_{0}\)

    solar azimuth angle

    \(deg\)

    solar_azimuth_angle {:}

    \(\varphi_{r}\)

    relative azimuth angle

    \(deg\)

    relative_azimuth_angle {:}

    \(\varphi_{S}\)

    sensor azimuth angle

    \(deg\)

    sensor_azimuth_angle {:}

    The pattern : for the dimensions can represent {time}, or no dimensions at all.

    \begin{eqnarray} \Delta\varphi & = & \varphi_{0} - \varphi_{S} \\ \Delta\varphi & = & \begin{cases} \Delta\varphi \geq 360, & \Delta\varphi - 360 \\ 0 \leq \Delta\varphi < 360, & \Delta\varphi \\ \Delta\varphi < 0, & \Delta\varphi + 360 \end{cases} \\ \varphi_{r} & = & \left|\Delta\varphi - 180 \right| \end{eqnarray}