|[[tabellen:merkur_de200|Merkur]]|[[tabellen:venus_de200|Venus]]|[[tabellen:erde_de200|Erde]]|[[tabellen:mars_de200|Mars]]|[[tabellen:jupiter_de200|Jupiter]]|[[tabellen:saturn_de200|Saturn]]|[[tabellen:uranus_de200|Uranus]]|[[tabellen:neptun_de200|Neptun]]|

====== Uranus ======

{{ :uranus_vsop87.png?nolink&100|}}

===== mittlere Anomalien =====

{{tablelayout?rowsHeaderSource=Auto&colwidth="70px,430px"&float=center}}
^  Tabelle 1  ||
| $M_5 =$ | $20\overset{\circ}{.}320992 + 2880\overset{\circ}{.}0 \cdot T + 154\overset{\circ}{.}904004 \cdot T$ |
| $M_6 =$ | $317\overset{\circ}{.}865996 + 1080\overset{\circ}{.}0 \cdot T + 142\overset{\circ}{.}112988 \cdot T$ |
| $M_7 =$ | $142\overset{\circ}{.}816212 + 360\overset{\circ}{.}0 \cdot T + 68\overset{\circ}{.}502564 \cdot T$ |
| $M_8 =$ | $259\overset{\circ}{.}805988 + 0\overset{\circ}{.}0 \cdot T + 218\overset{\circ}{.}467008 \cdot T$ |

===== Tabellen =====

\[\begin{align}
dl &= \sum_{n=1}^{10} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s) + b_n \sin(p_n \ M_p + s_n \ M_s)) \\
db &= \sum_{n=1}^{10} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s) + d_n \sin(p_n \ M_p + s_n \ M_s)) \\
dr &= \sum_{n=1}^{10} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s) + f_n \sin(p_n \ M_p + s_n \ M_s))
\end{align}\tag{1}\]

{{tablelayout?rowsHeaderSource=Auto&colwidth="-"&float=center}}
^  Tabelle 2: Keplerterme   ||||||||||
^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $01$   |  $-78.1$  |  $19518.1$  |  $2759.5$  |  $-311.9$  |  $-90718.2$  |  $-334.7$  |  $1 $   |  $0 $   |  $0 $   |
|  $02$   |  $-81.6$  |  $107.7  $  |  $-2.8  $  |  $-43.7 $  |  $-497.4  $  |  $-379.5$  |  $1 $   |  $0 $   |  $1 $   |
|  $03$   |  $-6.6 $  |  $-3.1   $  |  $-0.4  $  |  $-0.5  $  |  $14.4    $  |  $-30.6 $  |  $1 $   |  $0 $   |  $2 $   |
|  $04$   |  $0.0  $  |  $-0.5   $  |  $0.0   $  |  $0.0   $  |  $2.4     $  |  $0.0   $  |  $1 $   |  $0 $   |  $3 $   |
|  $05$   |  $-2.4 $  |  $586.1  $  |  $130.6 $  |  $-14.3 $  |  $-2145.2 $  |  $-15.3 $  |  $2 $   |  $0 $   |  $0 $   |
|  $06$   |  $-4.5 $  |  $6.6    $  |  $0.7   $  |  $-1.6  $  |  $-24.2   $  |  $-17.8 $  |  $2 $   |  $0 $   |  $1 $   |
|  $07$   |  $-0.4 $  |  $0.0    $  |  $0.0   $  |  $0.0   $  |  $0.1     $  |  $-1.4  $  |  $2 $   |  $0 $   |  $2 $   |
|  $08$   |  $0.0  $  |  $24.5   $  |  $7.0   $  |  $-0.7  $  |  $-76.2   $  |  $-0.6  $  |  $3 $   |  $0 $   |  $0 $   |
|  $09$   |  $-0.2 $  |  $0.4    $  |  $0.1   $  |  $-0.1  $  |  $-1.4    $  |  $-0.8  $  |  $3 $   |  $0 $   |  $1 $   |
|  $10$   |  $0.0  $  |  $1.1    $  |  $0.4   $  |  $0.0   $  |  $-3.0    $  |  $0.1   $  |  $4 $   |  $0 $   |  $0 $   |

\[\begin{align}
dl &= \sum_{n=11}^{61} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \\
db &= \sum_{n=11}^{61} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \\
dr &= \sum_{n=11}^{61} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t))
\end{align}\tag{2}\]

{{tablelayout?rowsHeaderSource=Auto&colwidth="-"&float=center}}
^  Tabelle 3: Störterme der Planeten  ||||||||||
^  Störungen durch den Jupiter  ||||||||||
^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $11$   |  $0.0  $  |  $0.0    $  |  $-0.1  $  |  $0.0   $  |  $-0.1    $  |  $1.7   $  |  $-1$   |  $-1$   |  $0 $   |
|  $12$   |  $0.5  $  |  $-1.2   $  |  $-0.9  $  |  $0.1   $  |  $18.9    $  |  $9.1   $  |  $0 $   |  $-1$   |  $0 $   |
|  $13$   |  $-21.2$  |  $48.7   $  |  $0.0   $  |  $0.0   $  |  $-455.5  $  |  $198.8 $  |  $1 $   |  $-1$   |  $0 $   |
|  $14$   |  $-0.5 $  |  $1.2    $  |  $0.0   $  |  $0.0   $  |  $-10.9   $  |  $-4.8  $  |  $1 $   |  $-2$   |  $0 $   |
|  $15$   |  $-1.3 $  |  $3.2    $  |  $0.3   $  |  $0.1   $  |  $-23.2   $  |  $-11.1 $  |  $2 $   |  $-1$   |  $0 $   |
|  $16$   |  $-0.2 $  |  $0.2    $  |  $0.0   $  |  $0.0   $  |  $1.1     $  |  $1.5   $  |  $2 $   |  $-2$   |  $0 $   |
|  $17$   |  $0.0  $  |  $0.2    $  |  $0.0   $  |  $0.0   $  |  $-1.8    $  |  $0.4   $  |  $3 $   |  $-1$   |  $0 $   |
^  Störungen durch den Saturn  ||||||||||
^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $18$   |  $1.4  $  |  $-0.5   $  |  $-0.4  $  |  $-0.8  $  |  $-6.4    $  |  $9.0   $  |  $0 $   |  $-1$   |  $0 $   |
|  $19$   |  $-18.6$  |  $-12.6  $  |  $1.0   $  |  $0.3   $  |  $36.7    $  |  $-336.8$  |  $1 $   |  $-1$   |  $0 $   |
|  $20$   |  $-0.7 $  |  $-0.3   $  |  $0.1   $  |  $0.0   $  |  $0.5     $  |  $-7.5  $  |  $1 $   |  $-2$   |  $0 $   |
|  $21$   |  $20.0 $  |  $-141.6 $  |  $3.1   $  |  $-0.8  $  |  $-587.1  $  |  $-107.0$  |  $2 $   |  $-1$   |  $0 $   |
|  $22$   |  $1.0  $  |  $1.4    $  |  $0.0   $  |  $0.0   $  |  $5.8     $  |  $-4.0  $  |  $2 $   |  $-1$   |  $1 $   |
|  $23$   |  $1.6  $  |  $-3.8   $  |  $0.0   $  |  $0.0   $  |  $-35.6   $  |  $-16.0 $  |  $2 $   |  $-2$   |  $0 $   |
|  $24$   |  $75.3 $  |  $-100.9 $  |  $-0.8  $  |  $0.1   $  |  $128.9   $  |  $77.5  $  |  $3 $   |  $-1$   |  $0 $   |
|  $25$   |  $0.2  $  |  $1.8    $  |  $0.0   $  |  $0.0   $  |  $-1.9    $  |  $0.3   $  |  $3 $   |  $-1$   |  $1 $   |
|  $26$   |  $2.3  $  |  $-1.3   $  |  $0.0   $  |  $0.1   $  |  $-9.5    $  |  $-17.9 $  |  $3 $   |  $-2$   |  $0 $   |
|  $27$   |  $-0.7 $  |  $-0.5   $  |  $0.0   $  |  $0.0   $  |  $-4.9    $  |  $6.8   $  |  $3 $   |  $-3$   |  $0 $   |
|  $28$   |  $3.4  $  |  $-5.0   $  |  $-0.8  $  |  $-0.5  $  |  $21.6    $  |  $14.3  $  |  $4 $   |  $-1$   |  $0 $   |
|  $29$   |  $1.9  $  |  $0.1    $  |  $0.0   $  |  $0.0   $  |  $1.2     $  |  $-12.1 $  |  $4 $   |  $-2$   |  $0 $   |
|  $30$   |  $-0.1 $  |  $-0.4   $  |  $0.0   $  |  $0.0   $  |  $-3.9    $  |  $1.2   $  |  $4 $   |  $-3$   |  $0 $   |
|  $31$   |  $-0.2 $  |  $0.1    $  |  $0.0   $  |  $0.0   $  |  $1.6     $  |  $1.8   $  |  $4 $   |  $-4$   |  $0 $   |
|  $32$   |  $0.2  $  |  $-0.3   $  |  $-0.1  $  |  $0.0   $  |  $1.0     $  |  $0.6   $  |  $5 $   |  $-1$   |  $0 $   |
|  $33$   |  $-2.2 $  |  $-2.2   $  |  $0.0   $  |  $0.0   $  |  $-7.7    $  |  $8.5   $  |  $5 $   |  $-2$   |  $0 $   |
|  $34$   |  $0.1  $  |  $-0.2   $  |  $0.0   $  |  $0.0   $  |  $-1.4    $  |  $-0.4  $  |  $5 $   |  $-3$   |  $0 $   |
|  $35$   |  $-0.1 $  |  $0.0    $  |  $0.0   $  |  $0.0   $  |  $0.1     $  |  $1.2   $  |  $5 $   |  $-4$   |  $0 $   |
|  $36$   |  $-0.2 $  |  $-0.6   $  |  $0.0   $  |  $0.0   $  |  $1.4     $  |  $-0.7  $  |  $6 $   |  $-2$   |  $0 $   |
^  Störungen durch den Neptun  ||||||||||
^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^ $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $37$   |  $-0.2 $  |  $0.2    $  |  $-0.1  $  |  $0.0   $  |  $0.7     $  |  $0.7   $  |  $-1$   |  $-1$   |  $0 $   |
|  $38$   |  $-2.8 $  |  $2.5    $  |  $-0.4  $  |  $-0.1  $  |  $8.7     $  |  $10.5  $  |  $0 $   |  $-1$   |  $0 $   |
|  $39$   |  $-28.4$  |  $20.3   $  |  $0.0   $  |  $0.0   $  |  $-51.4   $  |  $-72.0 $  |  $1 $   |  $-1$   |  $0 $   |
|  $40$   |  $-0.6 $  |  $-0.1   $  |  $0.2   $  |  $0.4   $  |  $4.2     $  |  $-14.6 $  |  $1 $   |  $-2$   |  $0 $   |
|  $41$   |  $0.2  $  |  $0.5    $  |  $-0.1  $  |  $0.1   $  |  $3.4     $  |  $-1.6  $  |  $1 $   |  $-3$   |  $0 $   |
|  $42$   |  $-1.8 $  |  $1.3    $  |  $0.0   $  |  $0.3   $  |  $-5.5    $  |  $-7.7  $  |  $2 $   |  $-1$   |  $0 $   |
|  $43$   |  $29.4 $  |  $10.2   $  |  $0.0   $  |  $0.0   $  |  $-29.0   $  |  $83.2  $  |  $2 $   |  $-2$   |  $0 $   |
|  $44$   |  $8.8  $  |  $17.8   $  |  $-0.1  $  |  $-0.3  $  |  $-41.9   $  |  $21.5  $  |  $2 $   |  $-3$   |  $0 $   |
|  $45$   |  $0.0  $  |  $0.1    $  |  $0.1   $  |  $0.0   $  |  $-2.1    $  |  $-0.9  $  |  $2 $   |  $-4$   |  $0 $   |
|  $46$   |  $1.5  $  |  $0.5    $  |  $0.1   $  |  $-0.2  $  |  $-1.7    $  |  $5.1   $  |  $3 $   |  $-2$   |  $0 $   |
|  $47$   |  $4.4  $  |  $14.6   $  |  $0.1   $  |  $-0.1  $  |  $-84.3   $  |  $-25.2 $  |  $3 $   |  $-3$   |  $0 $   |
|  $48$   |  $2.4  $  |  $-4.5   $  |  $0.0   $  |  $0.0   $  |  $12.0    $  |  $6.2   $  |  $3 $   |  $-4$   |  $0 $   |
|  $49$   |  $2.9  $  |  $-0.9   $  |  $0.0   $  |  $0.0   $  |  $2.1     $  |  $6.2   $  |  $3 $   |  $-5$   |  $0 $   |
|  $50$   |  $0.3  $  |  $1.0    $  |  $0.1   $  |  $-0.1  $  |  $-4.0    $  |  $1.1   $  |  $4 $   |  $-3$   |  $0 $   |
|  $51$   |  $2.1  $  |  $-2.7   $  |  $0.0   $  |  $0.0   $  |  $17.9    $  |  $14.0  $  |  $4 $   |  $-4$   |  $0 $   |
|  $52$   |  $3.0  $  |  $-0.4   $  |  $-0.1  $  |  $-0.1  $  |  $2.3     $  |  $17.6  $  |  $4 $   |  $-5$   |  $0 $   |
|  $53$   |  $-0.6 $  |  $-0.5   $  |  $0.0   $  |  $0.0   $  |  $1.1     $  |  $-1.6  $  |  $4 $   |  $-6$   |  $0 $   |
|  $54$   |  $0.2  $  |  $-0.2   $  |  $0.0   $  |  $0.0   $  |  $1.0     $  |  $0.8   $  |  $5 $   |  $-4$   |  $0 $   |
|  $55$   |  $-0.9 $  |  $-0.1   $  |  $0.0   $  |  $0.0   $  |  $0.6     $  |  $-7.1  $  |  $5 $   |  $-5$   |  $0 $   |
|  $56$   |  $-0.5 $  |  $-0.6   $  |  $0.0   $  |  $0.0   $  |  $3.8     $  |  $-3.6  $  |  $5 $   |  $-6$   |  $0 $   |
|  $57$   |  $0.0  $  |  $-0.5   $  |  $0.0   $  |  $0.0   $  |  $3.0     $  |  $0.1   $  |  $5 $   |  $-7$   |  $0 $   |
|  $58$   |  $0.2  $  |  $0.3    $  |  $0.0   $  |  $0.0   $  |  $-2.7    $  |  $1.6   $  |  $6 $   |  $-6$   |  $0 $   |
|  $59$   |  $-0.1 $  |  $0.2    $  |  $0.0   $  |  $0.0   $  |  $-2.0    $  |  $-0.4  $  |  $6 $   |  $-7$   |  $0 $   |
|  $60$   |  $0.1  $  |  $-0.2   $  |  $0.0   $  |  $0.0   $  |  $1.3     $  |  $0.5   $  |  $7 $   |  $-7$   |  $0 $   |
|  $61$   |  $0.1  $  |  $0.0    $  |  $0.0   $  |  $0.0   $  |  $0.4     $  |  $0.9   $  |  $7 $   |  $-8$   |  $0 $   |

\[\begin{align}
dl &= \sum_{n=62}^{70} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\
db &= \sum_{n=62}^{70} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\
dr &= \sum_{n=62}^{70} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)
\end{align}\tag{3}\]

{{tablelayout?rowsHeaderSource=Auto&colwidth="-"&float=center}}
^  Tabelle 3: Störungen durch den Jupiter und den Saturn  ||||||||||
^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $62$   |  $-0.7 $  |  $0.4    $  |  $0.0   $  |  $0.0   $  |  $-1.5    $  |  $-2.5  $  |  $-2$   |  $2 $   |  $-4$   |
|  $63$   |  $-0.1 $  |  $-0.1   $  |  $0.0   $  |  $0.0   $  |  $-2.2    $  |  $1.0   $  |  $-1$   |  $2 $   |  $-4$   |
|  $64$   |  $0.1  $  |  $-0.4   $  |  $0.0   $  |  $0.0   $  |  $1.4     $  |  $0.2   $  |  $1 $   |  $0 $   |  $-5$   |
|  $65$   |  $0.4  $  |  $0.5    $  |  $0.0   $  |  $0.0   $  |  $-0.8    $  |  $-0.8  $  |  $1 $   |  $0 $   |  $-6$   |
|  $66$   |  $5.7  $  |  $6.3    $  |  $0.0   $  |  $0.0   $  |  $28.5    $  |  $-25.5 $  |  $2 $   |  $0 $   |  $-6$   |
|  $67$   |  $+0.1\cdot T$  |  $-0.2\cdot T$  |  $+0.0\cdot T$  |  $+0.0\cdot T$  |  $-1.1\cdot T$  |  $-0.6\cdot T$  |  $2$   |  $0$   |  $-6$   |
|  $68$   |  $-1.4 $  |  $29.2$  |  $0.0$  |  $0.0$  |  $-11.4$  |  $1.1$  |  $3$   |  $0$   |  $-6$   |
|  $69$   |  $+0.8\cdot T$  |  $-0.4\cdot T$  |  $+0.0\cdot T$  |  $+0.0\cdot T$  |  $+0.2\cdot T$  |  $+0.3\cdot T$  |  $3$   |  $0$   |  $-6$   |
|  $70$   |  $0.0$  |  $1.3$  |  $0.0$  |  $0.0$  |  $-6.0$  |  $-0.1$  |  $4$   |  $0$   |  $-6$   |

===== Heliozentrische Koordinaten =====

\[\begin{align}
l_7 &= M_7 + 170\overset{\circ}{.}454348 + (5082\overset{''}{.}3\cdot T + 34\overset{''}{.}2\cdot T^2 + \text{dl})/3600'' \\
b_7 &= (- 130\overset{''}{.}61 - 0\overset{''}{.}54\cdot T + 0\overset{''}{.}04\cdot T^2 + \text{db})/3600'' \\
r_7 &= 19.211991\text{ AE} - 3.33 \cdot 10^{-4}\text{ AE} \cdot T - 5.0 \cdot 10^{-6}\text{ AE} \cdot T^2 + 10^{-5}\text{ AE dr}
\end{align}\tag{4}\]