−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

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