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--- tabellen:mars_de200 [2024/05/08 18:54] – quern
+++ tabellen:mars_de200 [2024/12/20 01:57] (aktuell) – Externe Bearbeitung 127.0.0.1
@@ Zeile 3: / Zeile 3: @@
 ====== Mars ======
-{{ :mars_vsop87.png?nolink&200|}}
+{{ :mars_vsop87.png?nolink&100|}}
 ===== mittlere Anomalien =====
 {{tablelayout?rowsHeaderSource=Auto&colwidth="70px,430px"&float=center}}
+^  Tabelle 1  ||
 | $M_2 =$ | $49\overset{\circ}{.}759488 + 58320\overset{\circ}{.}0 \cdot T + 197\overset{\circ}{.}371512 \cdot T$ |
 | $M_3 =$ | $357\overset{\circ}{.}343488 + 35640\overset{\circ}{.}0 \cdot T + 358\overset{\circ}{.}928496 \cdot T$ |
@@ Zeile 16: / Zeile 17: @@
 ===== Tabellen =====
-{{tablelayout?rowsHeaderSource=1&colwidth="690px"&float=center}}
+\[\begin{align}
-| \[\begin{align} dl &= \sum_{n=1}^{12} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s) + b_n \sin(p_n \ M_p + s_n \ M_s)) \\ db &= \sum_{n=1}^{12} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s) + d_n \sin(p_n \ M_p + s_n \ M_s)) \\ dr &= \sum_{n=1}^{12} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s) + f_n \sin(p_n \ M_p + s_n \ M_s)) \end{align}\] |
+dl &= \sum_{n=1}^{12} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s) + b_n \sin(p_n \ M_p + s_n \ M_s)) \\
+db &= \sum_{n=1}^{12} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s) + d_n \sin(p_n \ M_p + s_n \ M_s)) \\
+dr &= \sum_{n=1}^{12} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s) + f_n \sin(p_n \ M_p + s_n \ M_s))
+\end{align}\tag{1}\]
 {{tablelayout?rowsHeaderSource=Auto&colwidth="-"&float=center}}
-^  Tabelle 1: Keplerterme  ||||||||||
+^  Tabelle 2: Keplerterme  ||||||||||
 ^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
 |  $001$    |  $-5.32$   |  $38481.97$  |  $-6321.67$  |  $1876.89$  |  $-141856.04$  |  $0.40 $   |  $1$    |  $0$    |  $0$    |
@@ Zeile 35: / Zeile 39: @@
 |  $012$    |  $0.02 $   |  $0.20    $  |  $-0.09   $  |  $0.03   $  |  $-0.34     $  |  $0.00 $   |  $6$    |  $0$    |  $0$    |
-{{tablelayout?rowsHeaderSource=1&colwidth="690px"&float=center}}
+\[\begin{align}
-| \[\begin{align} dl &= \sum_{n=13}^{106} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ db &= \sum_{n=13}^{106} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=13}^{106} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \end{align}\] |
+dl &= \sum_{n=13}^{106} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\
+db &= \sum_{n=13}^{106} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\
+dr &= \sum_{n=13}^{106} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)
+\end{align}\tag{2}\]
 {{tablelayout?rowsHeaderSource=Auto&colwidth="-"&float=center}}
-^  Tabelle 2: Störterme der Planeten  ||||||||||
+^  Tabelle 3: Störterme der Planeten  ||||||||||
 ^  Störungen durch die Venus  ||||||||||
 ^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
@@ Zeile 145: / Zeile 152: @@
 ===== Heliozentrische Koordinaten =====
-| $\Delta l =$ | $+ 52\overset{''}{.}49\sin(67\overset{\circ}{.}248 + 19\overset{\circ}{.}764\cdot T) + 0\overset{''}{.}61\sin(331\overset{\circ}{.}92 + 119\overset{\circ}{.}052\cdot T)$ |
+\[\begin{align}
-| | $+ 0\overset{''}{.}32\sin(170\overset{\circ}{.}316 + 773\overset{\circ}{.}46\cdot T) + 0\overset{''}{.}28\sin(340\overset{\circ}{.}812 + 40\overset{\circ}{.}788\cdot T)$ |
+\Delta l &= + 52\overset{''}{.}49\sin(67\overset{\circ}{.}248 + 19\overset{\circ}{.}764\cdot T) + 0\overset{''}{.}61\sin(331\overset{\circ}{.}92 + 119\overset{\circ}{.}052\cdot T) \\
-| $l_4 =$ | $M_4 + 336\overset{\circ}{.}045276 + (0\overset{''}{.}14 + 6616\overset{''}{.}37\cdot T + 0\overset{''}{.}99\cdot T^2 + \Delta l + \text{dl})/3600''$ |
+& + 0\overset{''}{.}32\sin(170\overset{\circ}{.}316 + 773\overset{\circ}{.}46\cdot T) + 0\overset{''}{.}28\sin(340\overset{\circ}{.}812 + 40\overset{\circ}{.}788\cdot T) \\
-| $b_4 =$ | $(+ 596\overset{''}{.}32 - 2\overset{''}{.}92\cdot T - 0\overset{''}{.}10\cdot T^2 + \text{db})/3600''$ |
+l_4 &= M_4 + 336\overset{\circ}{.}045276 + (0\overset{''}{.}14 + 6616\overset{''}{.}37\cdot T + 0\overset{''}{.}99\cdot T^2 + \Delta l + \text{dl})/3600'' \\
-| $r_4 =$ | $1.5303352\text{ AE} + 1.31 \cdot 10^{-5}\text{ AE} \cdot T + 10^{-6}\text{ AE dr}$ |
+b_4 &= (+ 596\overset{''}{.}32 - 2\overset{''}{.}92\cdot T - 0\overset{''}{.}10\cdot T^2 + \text{db})/3600'' \\
+r_4 &= 1.5303352\text{ AE} + 1.31 \cdot 10^{-5}\text{ AE} \cdot T + 10^{-6}\text{ AE dr}
+\end{align}\tag{3}\]