Inhaltsverzeichnis

Merkur

mittlere Anomalien

Tabelle 1
$M_1 =$	$174\overset{\circ}{.}794652 + 149400\overset{\circ}{.}0 \cdot T + 72\overset{\circ}{.}515304 \cdot T$
$M_2 =$	$50\overset{\circ}{.}191992 + 58320\overset{\circ}{.}0 \cdot T + 197\overset{\circ}{.}655984 \cdot T$
$M_3 =$	$357\overset{\circ}{.}762996 + 35640\overset{\circ}{.}0 \cdot T + 359\overset{\circ}{.}213004 \cdot T$
$M_5 =$	$20\overset{\circ}{.}103012 + 2880\overset{\circ}{.}0 \cdot T + 154\overset{\circ}{.}743012 \cdot T$
$M_6 =$	$317\overset{\circ}{.}639988 + 1080\overset{\circ}{.}0 \cdot T + 141\overset{\circ}{.}959988 \cdot T$

Tabellen

\[\begin{align} dl &= \sum_{n=1}^{17} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s) + b_n \sin(p_n \ M_p + s_n \ M_s)) \\ db &= \sum_{n=1}^{17} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s) + d_n \sin(p_n \ M_p + s_n \ M_s)) \\ dr &= \sum_{n=1}^{17} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s) + f_n \sin(p_n \ M_p + s_n \ M_s)) \end{align}\tag{1}\]

Tabelle 2: Keplerterme
$n$	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
$01$	$259.74 $	$84547.39 $	$11683.22$	$21203.79$	$-78342.34$	$0.01$	$1$	$0$	$0$
$02$	$2.30 $	$5.04 $	$138.55 $	$-71.01 $	$-7.52 $	$0.02$	$1$	$0$	$1$
$03$	$0.01 $	$-0.01 $	$-0.19 $	$-0.54 $	$0.01 $	$0.01$	$1$	$0$	$2$
$04$	$-549.71$	$10394.44$	$2390.29$	$4306.79$	$-7955.45 $	$0.00$	$2$	$0$	$0$
$05$	$-4.77 $	$8.91 $	$28.49 $	$-14.18 $	$-1.53 $	$0.00$	$2$	$0$	$1$
$06$	$0.00 $	$0.00 $	$-0.04 $	$-0.11 $	$0.00 $	$0.00$	$2$	$0$	$2$
$07$	$-234.04$	$1748.74 $	$535.41 $	$984.33 $	$-1212.86 $	$0.00$	$3$	$0$	$0$
$08$	$-2.03 $	$3.48 $	$6.56 $	$-2.91 $	$-0.35 $	$0.00$	$3$	$0$	$1$
$09$	$-77.64 $	$332.63 $	$124.40 $	$237.03 $	$-219.23 $	$0.00$	$4$	$0$	$0$
$10$	$-0.70 $	$1.10 $	$1.59 $	$-0.59 $	$-0.08 $	$0.00$	$4$	$0$	$1$
$11$	$-23.59 $	$67.28 $	$29.44 $	$58.77 $	$-43.54 $	$0.00$	$5$	$0$	$0$
$12$	$-0.23 $	$0.32 $	$0.39 $	$-0.11 $	$-0.02 $	$0.00$	$5$	$0$	$1$
$13$	$-6.86 $	$14.06 $	$7.03 $	$14.84 $	$-9.18 $	$0.00$	$6$	$0$	$0$
$14$	$-0.07 $	$0.09 $	$0.10 $	$-0.02 $	$-0.01 $	$0.00$	$6$	$0$	$1$
$15$	$-1.94 $	$2.98 $	$1.69 $	$3.80 $	$-2.02 $	$0.00$	$7$	$0$	$0$
$16$	$-0.54 $	$0.63 $	$0.41 $	$0.98 $	$-0.46 $	$0.00$	$8$	$0$	$0$
$17$	$-0.15 $	$0.13 $	$0.10 $	$0.25 $	$-0.11 $	$0.00$	$9$	$0$	$0$

\[\begin{align} dl &= \sum_{n=18}^{54} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ db &= \sum_{n=18}^{54} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=18}^{54} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \end{align}\tag{2}\]

Tabelle 3: Störterme der Planeten
Störungen durch die Venus
$n$	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
$18$	$-0.17$	$-0.06$	$-0.06$	$-0.07$	$-0.05$	$0.14 $	$-1$	$-2$	$0$
$19$	$0.24 $	$-0.16$	$0.04 $	$-0.01$	$-0.11$	$-0.16$	$0 $	$-1$	$0$
$20$	$-0.68$	$-0.25$	$-0.16$	$-0.18$	$-0.26$	$0.73 $	$0 $	$-2$	$0$
$21$	$0.37 $	$0.08 $	$0.13 $	$-0.12$	$0.06 $	$-0.28$	$0 $	$-5$	$0$
$22$	$0.58 $	$-0.41$	$0.01 $	$-0.01$	$0.26 $	$0.36 $	$1 $	$-1$	$0$
$23$	$-3.51$	$-1.23$	$-0.05$	$-0.06$	$0.23 $	$-0.63$	$1 $	$-2$	$0$
$24$	$0.08 $	$0.53 $	$0.02 $	$-0.09$	$-0.11$	$0.04 $	$1 $	$-3$	$0$
$25$	$1.44 $	$0.31 $	$0.34 $	$0.29 $	$0.30 $	$-1.39$	$1 $	$-5$	$0$
$26$	$0.15 $	$-0.11$	$0.02 $	$-0.04$	$0.09 $	$0.12 $	$2 $	$-1$	$0$
$27$	$-1.99$	$-0.68$	$-0.20$	$0.03 $	$0.65 $	$-1.91$	$2 $	$-2$	$0$
$28$	$-0.34$	$-1.28$	$0.03 $	$0.03 $	$0.97 $	$-0.26$	$2 $	$-3$	$0$
$29$	$-0.33$	$0.35 $	$-0.01$	$0.00 $	$-0.13$	$-0.13$	$2 $	$-4$	$0$
$30$	$7.19 $	$1.56 $	$0.06 $	$0.05 $	$-0.05$	$0.12 $	$2 $	$-5$	$0$
$31$	$-0.52$	$-0.18$	$-0.16$	$0.03 $	$0.13 $	$-0.39$	$3 $	$-2$	$0$
$32$	$-0.11$	$-0.42$	$-0.05$	$-0.05$	$0.36 $	$-0.10$	$3 $	$-3$	$0$
$33$	$-0.19$	$0.22 $	$-0.01$	$0.02 $	$-0.23$	$-0.20$	$3 $	$-4$	$0$
$34$	$2.77 $	$0.49 $	$0.40 $	$-0.12$	$-0.45$	$2.56 $	$3 $	$-5$	$0$
$35$	$0.67 $	$0.12 $	$0.24 $	$-0.08$	$-0.09$	$0.47 $	$4 $	$-5$	$0$
$36$	$0.18 $	$0.03 $	$0.09 $	$-0.03$	$-0.02$	$0.12 $	$5 $	$-5$	$0$
Störungen durch die Erde
$n$	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
$37$	$-0.11$	$-0.07$	$-0.02$	$-0.04$	$-0.08$	$0.11 $	$0$	$-4$	$0$
$38$	$0.10 $	$-0.20$	$0.00 $	$0.00 $	$0.15 $	$0.07 $	$1$	$-1$	$0$
$39$	$-0.35$	$0.28 $	$-0.01$	$0.00 $	$-0.13$	$-0.17$	$1$	$-2$	$0$
$40$	$-0.67$	$-0.45$	$-0.01$	$-0.01$	$0.00 $	$0.01 $	$1$	$-4$	$0$
$41$	$-0.20$	$0.16 $	$-0.01$	$0.02 $	$-0.16$	$-0.20$	$2$	$-2$	$0$
$42$	$0.13 $	$-0.02$	$0.01 $	$0.00 $	$0.02 $	$0.14 $	$2$	$-3$	$0$
$43$	$-0.33$	$-0.18$	$-0.04$	$0.00 $	$0.17 $	$-0.31$	$2$	$-4$	$0$
Störungen durch den Jupiter
$n$	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
$44$	$-0.08$	$0.16 $	$-0.04$	$0.01 $	$-0.15$	$0.08 $	$-1$	$-1$	$0$
$45$	$0.10 $	$-0.06$	$0.07 $	$-0.01$	$-0.07$	$-0.12$	$-1$	$-2$	$0$
$46$	$-0.31$	$0.48 $	$-0.03$	$-0.02$	$-0.02$	$0.13 $	$0 $	$-1$	$0$
$47$	$0.42 $	$-0.26$	$0.20 $	$-0.03$	$-0.38$	$-0.50$	$0 $	$-2$	$0$
$48$	$-0.70$	$0.01 $	$0.00 $	$-0.03$	$-0.02$	$0.63 $	$1 $	$-1$	$0$
$49$	$2.61 $	$-1.97$	$0.01 $	$0.01 $	$1.74 $	$2.32 $	$1 $	$-2$	$0$
$50$	$0.32 $	$-0.15$	$0.00 $	$0.00 $	$0.13 $	$0.28 $	$1 $	$-3$	$0$
$51$	$-0.18$	$0.01 $	$-0.03$	$0.03 $	$0.00 $	$-0.13$	$2 $	$-1$	$0$
$52$	$0.75 $	$-0.56$	$0.08 $	$-0.17$	$0.45 $	$0.60 $	$2 $	$-2$	$0$
$53$	$0.20 $	$-0.15$	$0.04 $	$-0.08$	$0.10 $	$0.14 $	$3 $	$-2$	$0$
Störungen durch den Saturn
$n$	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
$54$	$-0.19$	$0.33$	$0.00$	$0.00$	$0.00$	$0.00$	$1$	$-2$	$0$

Heliozentrische Koordinaten

\[\begin{align} l_1 &= M_1 + 77\overset{\circ}{.}449644 + (2\overset{''}{.}8 + 5604\overset{''}{.}9\cdot T + 1\overset{''}{.}1\cdot T^2 + \text{dl})/3600'' \\ b_1 &= (- 2522\overset{''}{.}15 - 30\overset{''}{.}18\cdot T + 0\overset{''}{.}04\cdot T^2 + \text{db})/3600'' \\ r_1 &= 0.3952829\text{ AE} + 1.6 \cdot 10^{-6}\text{ AE} \cdot T + 10^{-6}\text{ AE dr}$ \end{align}\tag{3}\]