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add astrometry/photometry

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Edward Emelianov
2022-03-25 13:05:52 +03:00
parent 92550c0132
commit 3846952bb7
15 changed files with 6 additions and 5 deletions
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Komp_obr_SFedU/additional/02.pdf
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Komp_obr_SFedU/additional/02.tex
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@@ -377,14 +377,15 @@ WCS~--- World Coordinate System. ICRS~--- International Celestial Reference Syst
\begin{columns}
\column{0.47\textwidth}
\begin{block}{Простейший случай}
Обозначим \textbf{CRPIX}~-- $p$, \textbf{CRVAL}~-- $v$, \textbf{CDELT}~-- $d$, \textbf{CROTA2}~--
Обозначим \textbf{CRPIX}~-- $p$, \textbf{CRVAL}~-- $\alpha_0$ и $\delta_0$, \textbf{CDELT}~-- $d$,
\textbf{CROTA2}~--
$r$, \textbf{CD}~-- $c$, тогда
$$\begin{cases}
\alpha = d_1(x-p_1)\cos r - d_2(y-p_2)\sin r,\\
\delta = d_1(x-p_1)\sin r + d_2(y-p_2)\cos r;\end{cases}$$
\alpha - \alpha_0 = d_1(x-p_1)\cos r - d_2(y-p_2)\sin r,\\
\delta -\delta_0 = d_1(x-p_1)\sin r + d_2(y-p_2)\cos r;\end{cases}$$
$$\begin{cases}\alpha = c_{11}(x-p_1) - c_{12}(y-p_2),\\
\delta = c_{21}(x-p_1) + c_{22}(y-p_2).\end{cases}$$
$$\begin{cases}\alpha - \alpha_0 = c_{11}(x-p_1) - c_{12}(y-p_2),\\
\delta -\delta_0 = c_{21}(x-p_1) + c_{22}(y-p_2).\end{cases}$$
$$\begin{pmatrix}c_{11} & c_{12}\\ c_{21} & c_{22} \end{pmatrix} =
\begin{pmatrix} d_1\cos r &-d_2\sin r\\ d_1\sin r & d_2\cos r\end{pmatrix}