World Layout

“AU” is short for “Angular Unit”. $1$ AU equals the $2^{16}$th of a full circle and ranges from $-2^{15}$ to $2^{15}-1$, representing the interval $[-180^°; 180^°[$.

The conversion functions are:
$\varphi_{\mathrm{rad}} = \varphi_{\mathrm{deg}} \cdot \pi / 180 = \varphi_{\mathrm{AU}} \cdot \pi / 2^{15}$
$\varphi_{\mathrm{deg}} = \varphi_{\mathrm{rad}} \cdot 180 / \pi = \varphi_{\mathrm{AU}} \cdot 180 / 2^{15}$
$\varphi_{\mathrm{AU}} = \varphi_{\mathrm{deg}} \cdot 2^{15} / 180 = \varphi_{\mathrm{rad}} \cdot 2^{15} / \pi$