|[[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]]|

====== Erde-Mond Baryzentrum EMB ======

{{ :erde_vsop87.png?nolink&100|}}

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

{{tablelayout?rowsHeaderSource=Auto&colwidth="70px,430px"&float=center}}
^  Tabelle 1  ||
| $M_2 =$ | $49\overset{\circ}{.}943016 + 58320\overset{\circ}{.}0 \cdot T + 197\overset{\circ}{.}493012 \cdot T$ |
| $M_3 =$ | $357\overset{\circ}{.}525576 + 35640\overset{\circ}{.}0 \cdot T + 359\overset{\circ}{.}049744 \cdot T$ |
| $M_4 =$ | $19\overset{\circ}{.}557000 + 19080\overset{\circ}{.}0 \cdot T + 59\overset{\circ}{.}977008 \cdot T$ |
| $M_5 =$ | $19\overset{\circ}{.}863000 + 2880\overset{\circ}{.}0 \cdot T + 154\overset{\circ}{.}582992 \cdot T$ |
| $M_6 =$ | $317\overset{\circ}{.}394000 + 1080\overset{\circ}{.}0 \cdot T + 141\overset{\circ}{.}793992 \cdot T$ |

===== Erde Mond Baryzentrum =====

Es folgt die Berechnung des EMB:
\[\begin{align}
\delta l &= + 6\overset{''}{.}454\sin(D) - 0\overset{''}{.}424\sin(D - A) + 0\overset{''}{.}177\sin(D + A) \\
&+ 0\overset{''}{.}172\sin(D - M_3) - 0\overset{''}{.}06\sin(D + M_3) \\
\delta b &= + 0\overset{''}{.}576 \sin(U) \\
\delta r &= + 30.76\text{ AE } \cos(D) - 3.06\text{ AE } \cos(D - A) + 0.85\text{ AE } \cos(D + A) \\
&+ 0.57\text{ AE } \cos(D - M_3) - 0.58\text{ AE } \cos(D + M_3)
\end{align}\tag{1}\]

mit den Hilfswerten $A, D$ und $U$:
\[\begin{align}
A &= 134\overset{\circ}{.}964 + 477198\overset{\circ}{.}864\cdot T \\
D &= 297\overset{\circ}{.}864 + 445267\overset{\circ}{.}116\cdot T \\
U &= 93\overset{\circ}{.}276 + 483202\overset{\circ}{.}008\cdot T
\end{align}\tag{2}\]

===== Tabellen =====

\[\begin{align}
dl &= \sum_{n=1}^{6} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s) + b_n \sin(p_n \ M_p + s_n \ M_s)) \\
db &= \sum_{n=1}^{6} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s) + d_n \sin(p_n \ M_p + s_n \ M_s)) \\
dr &= \sum_{n=1}^{6} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s) + f_n \sin(p_n \ M_p + s_n \ M_s))
\end{align}\tag{3}\]

{{tablelayout?rowsHeaderSource=Auto&colwidth="-"&float=center}}
^  Tabelle 2: Keplerterme  ||||||||||
^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $01$   |  $-0.22$  |  $6892.76$  |  $0.00$   |  $0.00$   |  $-16707.37$  |  $-0.54$   |  $1$    |  $0 $   |  $0$    |
|  $02$   |  $-0.06$  |  $-17.35 $  |  $0.00$   |  $0.00$   |  $42.04    $  |  $-0.15$   |  $1$    |  $0 $   |  $1$    |
|  $03$   |  $-0.01$  |  $-0.05  $  |  $0.00$   |  $0.00$   |  $0.13     $  |  $-0.02$   |  $1$    |  $0 $   |  $2$    |
|  $04$   |  $0.00 $  |  $71.98  $  |  $0.00$   |  $0.00$   |  $-139.57  $  |  $0.00 $   |  $2$    |  $0 $   |  $0$    |
|  $05$   |  $0.00 $  |  $-0.36  $  |  $0.00$   |  $0.00$   |  $0.70     $  |  $0.00 $   |  $2$    |  $0 $   |  $1$    |
|  $06$   |  $0.00 $  |  $1.04   $  |  $0.00$   |  $0.00$   |  $-1.75    $  |  $0.00 $   |  $3$    |  $0 $   |  $0$    |

\[\begin{align}
dl &= \sum_{n=7}^{52} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\
db &= \sum_{n=7}^{52} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\
dr &= \sum_{n=7}^{52} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)
\end{align}\tag{4}\]

{{tablelayout?rowsHeaderSource=Auto&colwidth="-"&float=center}}
^  Tabelle 3: Störterme der Planeten  ||||||||||
^  Störungen durch die Venus  ||||||||||
^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $07$   |  $0.03 $  |  $-0.07$    |  $0.02 $  |  $-0.02$  |  $-0.16$      |  $-0.07$   |  $0$    |  $-1$   |  $0$    |
|  $08$   |  $2.35 $  |  $-4.23$    |  $0.00 $  |  $0.00 $  |  $-4.75$      |  $-2.64$   |  $1$    |  $-1$   |  $0$    |
|  $09$   |  $-0.10$  |  $0.06 $    |  $0.02 $  |  $0.00 $  |  $0.12 $      |  $0.20 $   |  $1$    |  $-2$   |  $0$    |
|  $10$   |  $-0.06$  |  $-0.03$    |  $0.02 $  |  $-0.04$  |  $0.09 $      |  $0.12 $   |  $2$    |  $-1$   |  $0$    |
|  $11$   |  $-4.70$  |  $2.90 $    |  $0.01 $  |  $-0.01$  |  $8.28 $      |  $13.42$   |  $2$    |  $-2$   |  $0$    |
|  $12$   |  $1.80 $  |  $-1.74$    |  $0.04 $  |  $-0.06$  |  $-1.44$      |  $-1.57$   |  $3$    |  $-2$   |  $0$    |
|  $13$   |  $-0.67$  |  $0.03 $    |  $0.01 $  |  $0.00 $  |  $0.11 $      |  $2.43 $   |  $3$    |  $-3$   |  $0$    |
|  $14$   |  $0.03 $  |  $-0.03$    |  $0.01 $  |  $-0.01$  |  $0.10 $      |  $0.09 $   |  $4$    |  $-2$   |  $0$    |
|  $15$   |  $1.51 $  |  $-0.40$    |  $0.18 $  |  $-0.10$  |  $-0.88$      |  $-3.36$   |  $4$    |  $-3$   |  $0$    |
|  $16$   |  $-0.19$  |  $-0.09$    |  $0.00 $  |  $0.00 $  |  $-0.38$      |  $0.77 $   |  $4$    |  $-4$   |  $0$    |
|  $17$   |  $0.76 $  |  $-0.68$    |  $0.01 $  |  $0.00 $  |  $0.30 $      |  $0.37 $   |  $5$    |  $-3$   |  $0$    |
|  $18$   |  $-0.14$  |  $-0.04$    |  $-0.03$  |  $0.00 $  |  $-0.11$      |  $0.43 $   |  $5$    |  $-4$   |  $0$    |
|  $19$   |  $-0.05$  |  $-0.07$    |  $0.00 $  |  $0.00 $  |  $-0.13$      |  $0.21 $   |  $5$    |  $-5$   |  $0$    |
|  $20$   |  $0.15 $  |  $-0.04$    |  $0.01 $  |  $0.00 $  |  $-0.06$      |  $-0.21$   |  $6$    |  $-4$   |  $0$    |
|  $21$   |  $-0.03$  |  $-0.03$    |  $-0.01$  |  $0.00 $  |  $-0.09$      |  $0.09 $   |  $6$    |  $-5$   |  $0$    |
|  $22$   |  $-0.05$  |  $-0.07$    |  $0.00 $  |  $0.00 $  |  $-0.13$      |  $0.21 $   |  $5$    |  $-6$   |  $0$    |
|  $23$   |  $-0.12$  |  $-0.03$    |  $-0.02$  |  $-0.01$  |  $-0.08$      |  $0.31 $   |  $7$    |  $-5$   |  $0$    |
^  Störungen durch den Mars  ||||||||||
^  n  ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $24$   |  $-0.22$  |  $0.17 $    |  $0.00$   |  $0.00$   |  $-0.21$      |  $-0.27$   |  $1$    |  $-1$   |  $0$    |
|  $25$   |  $-1.66$  |  $0.62 $    |  $0.00$   |  $0.00$   |  $0.16 $      |  $0.28 $   |  $1$    |  $-2$   |  $0$    |
|  $26$   |  $1.96 $  |  $0.57 $    |  $0.00$   |  $0.01$   |  $-1.32$      |  $4.55 $   |  $2$    |  $-2$   |  $0$    |
|  $27$   |  $0.40 $  |  $0.15 $    |  $0.00$   |  $0.00$   |  $-0.17$      |  $0.46 $   |  $2$    |  $-3$   |  $0$    |
|  $28$   |  $-0.53$  |  $0.26 $    |  $0.00$   |  $0.00$   |  $0.09 $      |  $-0.22$   |  $2$    |  $-4$   |  $0$    |
|  $29$   |  $0.05 $  |  $0.12 $    |  $0.00$   |  $0.00$   |  $-0.35$      |  $0.15 $   |  $3$    |  $-3$   |  $0$    |
|  $30$   |  $-0.13$  |  $-0.48$    |  $0.01$   |  $0.00$   |  $1.06 $      |  $-0.29$   |  $3$    |  $-4$   |  $0$    |
|  $31$   |  $-0.04$  |  $-0.20$    |  $0.00$   |  $0.00$   |  $0.20 $      |  $-0.04$   |  $3$    |  $-5$   |  $0$    |
|  $32$   |  $0.00 $  |  $-0.03$    |  $0.00$   |  $0.00$   |  $0.10 $      |  $0.04 $   |  $4$    |  $-4$   |  $0$    |
|  $33$   |  $0.05 $  |  $-0.07$    |  $0.00$   |  $0.00$   |  $0.20 $      |  $0.14 $   |  $4$    |  $-5$   |  $0$    |
|  $34$   |  $-0.10$  |  $0.11 $    |  $0.00$   |  $0.00$   |  $-0.23$      |  $-0.22$   |  $4$    |  $-6$   |  $0$    |
|  $35$   |  $-0.05$  |  $0.00 $    |  $0.00$   |  $0.00$   |  $0.01 $      |  $-0.14$   |  $5$    |  $-7$   |  $0$    |
|  $36$   |  $0.05 $  |  $0.01 $    |  $0.00$   |  $0.00$   |  $-0.02$      |  $0.10 $   |  $5$    |  $-8$   |  $0$    |
^  Störungen durch den Jupiter  ||||||||||
^  n   ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $37$   |  $0.01 $  |  $0.07 $    |  $0.00$   |  $-0.02$  |  $0.18 $      |  $-0.02 $  |  $-$1   |  $-1$   |  $0$    |
|  $38$   |  $-0.31$  |  $2.58 $    |  $0.02$   |  $0.00 $  |  $-0.52$      |  $0.34  $  |  $0$    |  $-1$   |  $0$    |
|  $39$   |  $-7.21$  |  $-0.06$    |  $0.00$   |  $-0.02$  |  $0.13 $      |  $-16.27$  |  $1$    |  $-1$   |  $0$    |
|  $40$   |  $-0.54$  |  $-1.52$    |  $0.01$   |  $-0.17$  |  $3.09 $      |  $-1.12 $  |  $1$    |  $-2$   |  $0$    |
|  $41$   |  $-0.03$  |  $-0.21$    |  $0.00$   |  $-0.02$  |  $0.38 $      |  $-0.06 $  |  $1$    |  $-3$   |  $0$    |
|  $42$   |  $-0.16$  |  $0.05 $    |  $0.01$   |  $0.00 $  |  $-0.18$      |  $-0.31 $  |  $2$    |  $-1$   |  $0$    |
|  $43$   |  $0.14 $  |  $-2.73$    |  $0.00$   |  $0.00 $  |  $9.23 $      |  $0.48  $  |  $2$    |  $-2$   |  $0$    |
|  $44$   |  $0.07 $  |  $-0.55$    |  $0.01$   |  $0.00 $  |  $1.83 $      |  $0.25  $  |  $2$    |  $-3$   |  $0$    |
|  $45$   |  $0.02 $  |  $-0.08$    |  $0.00$   |  $0.00 $  |  $0.25 $      |  $0.06  $  |  $2$    |  $-4$   |  $0$    |
|  $46$   |  $0.01 $  |  $-0.07$    |  $0.00$   |  $0.00 $  |  $0.16 $      |  $0.04  $  |  $3$    |  $-2$   |  $0$    |
|  $47$   |  $-0.16$  |  $-0.03$    |  $0.00$   |  $0.00 $  |  $0.08 $      |  $-0.64 $  |  $3$    |  $-3$   |  $0$    |
|  $48$   |  $-0.04$  |  $-0.01$    |  $0.00$   |  $0.00 $  |  $0.03 $      |  $-0.17 $  |  $3$    |  $-4$   |  $0$    |
^  Störungen durch den Saturn  ||||||||||
^  n   ^  $a_n['']$  ^  $b_n['']$  ^  $c_n['']$  ^  $d_n['']$  ^  $e_n['']$  ^  $f_n['']$  ^  $p_n$  ^  $s_n$  ^  $t_n$  ^
|  $49$   |  $0.00 $  |  $0.32 $    |  $0.00$   |  $0.00 $  |  $0.01 $      |  $0.00 $   |  $0$    |  $-1$   |  $0$    |
|  $50$   |  $-0.08$  |  $-0.41$    |  $0.00$   |  $-0.01$  |  $0.97 $      |  $-0.18$   |  $1$    |  $-1$   |  $0$    |
|  $51$   |  $0.04 $  |  $0.10 $    |  $0.00$   |  $0.00 $  |  $-0.23$      |  $0.10 $   |  $1$    |  $-2$   |  $0$    |
|  $52$   |  $0.04 $  |  $0.10 $    |  $0.00$   |  $0.00 $  |  $-0.35$      |  $0.13 $   |  $2$    |  $-2$   |  $0$    |

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

\[\begin{align}
\Delta l &= + 6\overset{''}{.}40\sin(251\overset{\circ}{.}388 + 20\overset{\circ}{.}196\cdot T) + 1\overset{''}{.}87\sin(207\overset{\circ}{.}504 + 150\overset{\circ}{.}264\cdot T) \\
& + 0\overset{''}{.}27\sin(150\overset{\circ}{.}804 + 119\overset{\circ}{.}016\ T) + 0\overset{''}{.}2\sin(128\overset{\circ}{.}916 + 893\overset{\circ}{.}304\cdot T) \\
l_3 &= M_3 + 102\overset{\circ}{.}940308 + (6191\overset{''}{.}2\cdot T + 1\overset{''}{.}1\cdot T^2 + \Delta l + \delta l + \text{dl})/3600'' \\
b_3 &= - (\text{db} + \delta b)/3600'' \\
r_3 &= 1.0001398\text{ AE} - 7.0 \cdot 10^{-7}\text{ AE} \cdot T + 10^{-6}\text{ AE }(\text{dr} + \delta r)
\end{align}\tag{5}\]