Inhaltsverzeichnis

Jupiter

mittlere Anomalien

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

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

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 $	$4$	$0$	$0$

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

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 $	$1$	$-2$	$0$

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

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

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