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|[[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]]|

====== Jupiter ======

{{ :jupiter_vsop87.png?nolink&100|}}

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

{{tablelayout?rowsHeaderSource=Auto&colwidth="70px,430px"&float=center}}
^  Tabelle 1  ||
| $M_5 =$ | $20\overset{\circ}{.}351304 + 2880\overset{\circ}{.}0 \cdot T + 154\overset{\circ}{.}906668 \cdot T$ |
| $M_6 =$ | $317\overset{\circ}{.}875212 + 1080\overset{\circ}{.}0 \cdot T + 142\overset{\circ}{.}116768 \cdot T$ |
| $M_7 =$ | $142\overset{\circ}{.}903332 + 360\overset{\circ}{.}0 \cdot T + 68\overset{\circ}{.}493096 \cdot T$ |

===== Tabellen =====

\[\begin{align}
dl &= \sum_{n=1}^{7} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s) + b_n \sin(p_n \ M_p + s_n \ M_s)) \\
db &= \sum_{n=1}^{7} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s) + d_n \sin(p_n \ M_p + s_n \ M_s)) \\
dr &= \sum_{n=1}^{7} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s) + f_n \sin(p_n \ M_p + s_n \ M_s))
\end{align}\tag{1}\]

{{tablelayout?rowsHeaderSource=Auto&colwidth="-"&float=center}}
^  Tabelle 2: Keplerterme  ||||||||||
^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $01$  |  $-113.1$  |  $19998.6$  |  $-4670.7$  |  $288.9$  |  $-25208.2$  |  $-142.2$  |  $1$    |  $0$    |  $0$    |
|  $02$  |  $-76.1 $  |  $66.9   $  |  $21.6   $  |  $29.4 $  |  $-84.2   $  |  $-95.8 $  |  $1$    |  $0$    |  $1$    |
|  $03$  |  $-0.5  $  |  $-0.3   $  |  $0.1    $  |  $-0.1 $  |  $0.4     $  |  $-0.7  $  |  $1$    |  $0$    |  $2$    |
|  $04$  |  $-3.4  $  |  $632.0  $  |  $-226.8 $  |  $12.7 $  |  $-610.6  $  |  $-6.5  $  |  $2$    |  $0$    |  $0$    |
|  $05$  |  $-4.2  $  |  $3.8    $  |  $0.2    $  |  $0.6  $  |  $-4.1    $  |  $-4.5  $  |  $2$    |  $0$    |  $1$    |
|  $06$  |  $-0.1  $  |  $28.0   $  |  $-12.5  $  |  $0.7  $  |  $-22.1   $  |  $-0.2  $  |  $3$    |  $0$    |  $0$    |
|  $07$  |  $0.0   $  |  $1.4    $  |  $-0.6   $  |  $0.0  $  |  $-1.0    $  |  $0.0   $  |  $4$    |  $0$    |  $0$    |

\[\begin{align}
dl &= \sum_{n=8}^{50} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \\
db &= \sum_{n=8}^{50} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t)) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\
dr &= \sum_{n=8}^{50} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t))
\end{align}\tag{2}\]

{{tablelayout?rowsHeaderSource=Auto&colwidth="-"&float=center}}
^  Tabelle 3: Störterme der Planeten  ||||||||||
^  Störungen durch den Saturn  ||||||||||
^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $08$  |  $-0.2  $   |  $1.4    $  |  $0.1    $  |  $-0.2 $    |  $2.0     $  |  $0.6   $   |  $-1$   |  $-1 $  |  $0$    |
|  $09$  |  $9.4   $   |  $8.9    $  |  $-0.4   $  |  $-1.4 $    |  $3.9     $  |  $-8.3  $   |  $0 $   |  $-1 $  |  $0$    |
|  $10$  |  $5.6   $   |  $-3.0   $  |  $-2.0   $  |  $0.0  $    |  $-5.4    $  |  $-5.7  $   |  $0 $   |  $-2 $  |  $0$    |
|  $11$  |  $-4.0  $   |  $-0.1   $  |  $0.0    $  |  $0.0  $    |  $0.0     $  |  $5.5   $   |  $0 $   |  $-3 $  |  $0$    |
|  $12$  |  $3.3   $   |  $-1.6   $  |  $-0.5   $  |  $-1.2 $    |  $-1.6    $  |  $-3.1  $   |  $0 $   |  $-5 $  |  $0$    |
|  $13$  |  $78.8  $   |  $-14.5  $  |  $-0.2   $  |  $0.2  $    |  $11.5    $  |  $64.4  $   |  $1 $   |  $-1 $  |  $0$    |
|  $14$  |  $-2.0  $   |  $-132.4 $  |  $-1.7   $  |  $0.4  $    |  $28.8    $  |  $4.3   $   |  $1 $   |  $-2 $  |  $0$    |
|  $15$  |  $-1.1  $   |  $-0.7   $  |  $0.0    $  |  $0.0  $    |  $0.2     $  |  $-0.3  $   |  $1 $   |  $-2 $  |  $1$    |
|  $16$  |  $-7.5  $   |  $-6.8   $  |  $0.6    $  |  $-0.9 $    |  $-0.4    $  |  $-1.1  $   |  $1 $   |  $-3 $  |  $0$    |
|  $17$  |  $0.7   $   |  $0.7    $  |  $0.0    $  |  $-0.2 $    |  $0.6     $  |  $-1.1  $   |  $1 $   |  $-4 $  |  $0$    |
|  $18$  |  $51.5  $   |  $-26.0  $  |  $-4.9   $  |  $-12.4$    |  $-32.5   $  |  $-64.4 $   |  $1 $   |  $-5 $  |  $0$    |
|  $19$  |  $-1.2  $   |  $-2.2   $  |  $-0.4   $  |  $0.3  $    |  $-2.7    $  |  $1.5   $   |  $1 $   |  $-5 $  |  $1$    |
|  $20$  |  $5.3   $   |  $-0.7   $  |  $0.2    $  |  $1.1  $    |  $0.7     $  |  $6.1   $   |  $2 $   |  $-1 $  |  $0$    |
|  $21$  |  $-76.4 $   |  $-185.1 $  |  $1.6    $  |  $0.0  $    |  $260.2   $  |  $-108.0$   |  $2 $   |  $-2 $  |  $0$    |
|  $22$  |  $66.7  $   |  $47.8   $  |  $0.9    $  |  $0.3  $    |  $-51.4   $  |  $69.8  $   |  $2 $   |  $-3 $  |  $0$    |
|  $23$  |  $0.6   $   |  $-1.0   $  |  $0.0    $  |  $0.0  $    |  $1.0     $  |  $0.6   $   |  $2 $   |  $-3 $  |  $1$    |
|  $24$  |  $17.0  $   |  $1.4    $  |  $0.0    $  |  $-0.1 $    |  $-1.8    $  |  $9.6   $   |  $2 $   |  $-4 $  |  $0$    |
|  $25$  |  $1066.2$   |  $-518.3 $  |  $1.8    $  |  $-0.3 $    |  $-1.3    $  |  $-23.9 $   |  $2 $   |  $-5 $  |  $0$    |
|  $26$  |  $-25.4 $   |  $-40.3  $  |  $0.0    $  |  $0.0  $    |  $-0.9    $  |  $0.3   $   |  $2 $   |  $-5 $  |  $1$    |
|  $27$  |  $-0.7  $   |  $0.5    $  |  $0.0    $  |  $0.0  $    |  $0.0     $  |  $0.0   $   |  $2 $   |  $-5 $  |  $2$    |
|  $28$  |  $-5.0  $   |  $-11.5  $  |  $2.1    $  |  $-1.0 $    |  $11.7    $  |  $-5.4  $   |  $3 $   |  $-2 $  |  $0$    |
|  $29$  |  $16.9  $   |  $-6.4   $  |  $-0.5   $  |  $0.8  $    |  $13.4    $  |  $26.9  $   |  $3 $   |  $-3 $  |  $0$    |
|  $30$  |  $7.2   $   |  $-13.3  $  |  $0.1    $  |  $-0.1 $    |  $20.9    $  |  $10.5  $   |  $3 $   |  $-4 $  |  $0$    |
|  $31$  |  $68.5  $   |  $134.3  $  |  $7.1    $  |  $15.2 $    |  $-166.9  $  |  $86.5  $   |  $3 $   |  $-5 $  |  $0$    |
|  $32$  |  $3.5   $   |  $-2.7   $  |  $0.5    $  |  $-0.4 $    |  $3.4     $  |  $4.3   $   |  $3 $   |  $-5 $  |  $1$    |
|  $33$  |  $0.6   $   |  $1.0    $  |  $0.0    $  |  $0.0  $    |  $-0.9    $  |  $0.5   $   |  $3 $   |  $-6 $  |  $0$    |
|  $34$  |  $-1.1  $   |  $1.7    $  |  $0.0    $  |  $0.0  $    |  $-0.4    $  |  $-0.2  $   |  $3 $   |  $-7 $  |  $0$    |
|  $35$  |  $-0.3  $   |  $-0.7   $  |  $0.2    $  |  $-0.1 $    |  $0.4     $  |  $-0.2  $   |  $4 $   |  $-2 $  |  $0$    |
|  $36$  |  $1.1   $   |  $-0.6   $  |  $0.1    $  |  $0.2  $    |  $0.9     $  |  $1.2   $   |  $4 $   |  $-3 $  |  $0$    |
|  $37$  |  $3.2   $   |  $1.7    $  |  $0.2    $  |  $0.1  $    |  $-4.1    $  |  $5.8   $   |  $4 $   |  $-4 $  |  $0$    |
|  $38$  |  $6.7   $   |  $8.7    $  |  $-1.1   $  |  $1.6  $    |  $-9.3    $  |  $8.7   $   |  $4 $   |  $-5 $  |  $0$    |
|  $39$  |  $1.5   $   |  $-0.3   $  |  $0.0    $  |  $0.0  $    |  $0.6     $  |  $2.4   $   |  $4 $   |  $-6 $  |  $0$    |
|  $40$  |  $-1.9  $   |  $2.3    $  |  $0.0    $  |  $-0.1 $    |  $-3.2    $  |  $-2.7  $   |  $4 $   |  $-7 $  |  $0$    |
|  $41$  |  $0.4   $   |  $-1.8   $  |  $0.0    $  |  $0.0  $    |  $1.9     $  |  $0.5   $   |  $4 $   |  $-8 $  |  $0$    |
|  $42$  |  $-0.2  $   |  $-0.5   $  |  $0.0    $  |  $0.0  $    |  $0.3     $  |  $-0.1  $   |  $4 $   |  $-9 $  |  $0$    |
|  $43$  |  $-8.6  $   |  $-6.8   $  |  $0.0    $  |  $0.0  $    |  $-0.4    $  |  $0.1   $   |  $4 $   |  $-10$  |  $0$    |
|  $44$  |  $-0.5  $   |  $0.6    $  |  $0.0    $  |  $0.0  $    |  $0.0     $  |  $0.0   $   |  $4 $   |  $-10$  |  $1$    |
|  $45$  |  $-0.1  $   |  $1.5    $  |  $-0.1   $  |  $0.1  $    |  $-2.5    $  |  $-0.8  $   |  $5 $   |  $-5 $  |  $0$    |
|  $46$  |  $0.1   $   |  $0.8    $  |  $0.0    $  |  $0.0  $    |  $-1.6    $  |  $0.1   $   |  $5 $   |  $-6 $  |  $0$    |
|  $47$  |  $-0.5  $   |  $-0.1   $  |  $0.0    $  |  $0.0  $    |  $0.1     $  |  $-0.8  $   |  $5 $   |  $-9 $  |  $0$    |
|  $48$  |  $2.5   $   |  $-2.2   $  |  $0.1    $  |  $-0.2 $    |  $2.8     $  |  $3.1   $   |  $5 $   |  $-10$  |  $0$    |
^  Störungen durch den Uranus  ||||||||||
^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$   ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $49$  |  $0.4   $   |  $0.9    $  |  $0.0    $  |  $0.0  $    |  $0.0     $  |  $0.0   $   |  $1$    |  $-1$   |  $0$    |
|  $50$  |  $0.4   $   |  $0.4    $  |  $0.0    $  |  $0.0  $    |  $-0.4    $  |  $0.3   $   |  $1$    |  $-2$   |  $0$    |

\[\begin{align}
dl &= \sum_{n=51}^{52} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\
db &= \sum_{n=51}^{52} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\
dr &= \sum_{n=51}^{52} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)
\end{align}\tag{3}\]

{{tablelayout?rowsHeaderSource=Auto&colwidth="-"&float=center}}
^  Tabelle 4: Störungen durch den Saturn und den Uranus  ||||||||||
^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$   ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $51$   |  $-0.8  $   |  $8.5    $  |  $0.0    $  |  $0.0  $    |  $-0.1    $  |  $0.0   $   |  $2$    |  $-6$   |  $3$    |
|  $52$   |  $0.4   $   |  $0.5    $  |  $-0.1   $  |  $0.0  $    |  $-0.7    $  |  $0.5   $   |  $3$    |  $-6$   |  $3$    |

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

\[\begin{align}
l_5 &= M_5 + 14\overset{\circ}{.}00076 + (5025\overset{''}{.}2\cdot T + 0\overset{''}{.}8\cdot T^2 + \text{dl})/3600'' \\
b_5 &= (+ 227\overset{''}{.}3 - 0\overset{''}{.}3\cdot T + \text{db})/3600'' \\
r_5 &= 5.208873\text{ AE} + 4.1 \cdot 10^{-5}\text{ AE} \cdot T + 10^{-5}\text{ AE dr}
\end{align}\tag{4}\]