Neptun

mittlere Anomalien

$M_5 =$	$20\overset{\circ}{.}2992134094 + 2880\overset{\circ}{.}0\cdot T + 154\overset{\circ}{.}7607421875\cdot T$
$M_6 =$	$317\overset{\circ}{.}7030944824 + 1080\overset{\circ}{.}0\cdot T + 142\overset{\circ}{.}4790039063\cdot T$
$M_7 =$	$142\overset{\circ}{.}7528991699 + 360\overset{\circ}{.}0\cdot T + 68\overset{\circ}{.}5026245117\cdot T$
$M_8 =$	$259\overset{\circ}{.}7366333008 + 0\overset{\circ}{.}0\cdot T + 218\overset{\circ}{.}4669342041\cdot T$

Tabellen

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

Keplerterme
n	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
$01$	$32.3 $	$3549.5$	$-6360.5$	$374.0$	$-25880.2$	$235.8 $	$1$	$0 $	$0$
$02$	$31.2 $	$34.4 $	$34.9 $	$29.3 $	$-251.4 $	$227.4 $	$1$	$0 $	$1$
$03$	$-1.4 $	$3.9 $	$0.0 $	$-0.9 $	$-28.6 $	$-10.1 $	$1$	$0 $	$2$
$04$	$6.1 $	$68.0 $	$-54.7 $	$3.7 $	$-111.4 $	$2.0 $	$2$	$0 $	$0$
$05$	$0.8 $	$-0.2 $	$-0.2 $	$0.8 $	$-2.1 $	$2.0 $	$2$	$0 $	$1$
$06$	$0.1 $	$1.0 $	$-0.8 $	$0.1 $	$-0.7 $	$0.0 $	$3$	$0 $	$0$
$07$	$0.0 $	$0.0 $	$0.1 $	$0.0 $	$5.5 $	$-6.9 $	$1$	$0 $	$0$

\[\begin{align} dl &= \sum_{n=8}^{35} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \\ db &= \sum_{n=8}^{35} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \\ dr &= \sum_{n=8}^{35} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \end{align}\]

Störterme der Planeten
n	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
Störungen durch den Jupiter
$08$	$0.1 $	$0.1 $	$-0.3 $	$-0.3 $	$-3.0 $	$1.8 $	$0$	$-1$	$0$
$09$	$0.0 $	$0.0 $	$0.0 $	$0.0 $	$0.0 $	$-15.9 $	$1$	$0 $	$0$
$10$	$-17.6$	$-29.3 $	$0.0 $	$0.0 $	$416.1 $	$-250.0$	$1$	$-1$	$0$
$11$	$-0.4 $	$-0.7 $	$0.0 $	$0.0 $	$10.4 $	$-6.2 $	$1$	$-2$	$0$
$12$	$-0.2 $	$-0.4 $	$0.4 $	$-0.3 $	$2.4 $	$-1.4 $	$2$	$-1$	$0$
n	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
Störungen durch den Saturn
$13$	$-0.1 $	$0.0 $	$-0.1 $	$-0.5 $	$0.2 $	$-1.8 $	$0$	$-1$	$0$
$14$	$0.0 $	$0.0 $	$0.0 $	$0.0 $	$-8.3 $	$-10.4 $	$1$	$0 $	$0$
$15$	$13.6 $	$-12.7 $	$0.0 $	$0.0 $	$187.5 $	$201.1 $	$1$	$-1$	$0$
$16$	$0.4 $	$-0.4 $	$0.0 $	$0.0 $	$4.5 $	$4.5 $	$1$	$-2$	$0$
$17$	$0.4 $	$-0.1 $	$0.2 $	$0.2 $	$1.7 $	$-3.2 $	$2$	$-1$	$0$
$18$	$-0.1 $	$0.0 $	$0.0 $	$0.0 $	$-0.2 $	$2.7 $	$2$	$-2$	$0$
n	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
Störungen durch den Uranus
$19$	$-0.1 $	$-0.3 $	$0.0 $	$0.0 $	$-3.6 $	$0.0 $	$0$	$-1$	$0$
$20$	$-2.2 $	$-1.6 $	$0.0 $	$-0.1 $	$-116.3 $	$163.6 $	$1$	$-1$	$0$
$21$	$0.2 $	$0.1 $	$0.0 $	$-0.1 $	$-1.2 $	$0.4 $	$1$	$-2$	$0$
$22$	$4.2 $	$-1.1 $	$-0.2 $	$0.1 $	$-4.4 $	$-34.6 $	$2$	$-1$	$0$
$23$	$8.6 $	$-2.9 $	$0.2 $	$0.1 $	$-33.4 $	$-97.0 $	$2$	$-2$	$0$
$24$	$0.1 $	$-0.2 $	$0.0 $	$0.1 $	$2.1 $	$-1.2 $	$3$	$-1$	$0$
$25$	$-4.6 $	$9.3 $	$0.1 $	$0.1 $	$38.2 $	$19.8 $	$3$	$-2$	$0$
$26$	$-0.5 $	$1.7 $	$0.0 $	$0.0 $	$23.5 $	$7.0 $	$3$	$-3$	$0$
$27$	$0.2 $	$0.8 $	$-0.2 $	$-0.1 $	$3.3 $	$-1.5 $	$4$	$-2$	$0$
$28$	$0.9 $	$1.7 $	$-0.1 $	$0.0 $	$17.9 $	$-9.1 $	$4$	$-3$	$0$
$29$	$-0.4 $	$-0.4 $	$0.0 $	$0.0 $	$-6.2 $	$4.8 $	$4$	$-4$	$0$
$30$	$-1.6 $	$-0.5 $	$0.0 $	$0.0 $	$-2.2 $	$7.0 $	$5$	$-3$	$0$
$31$	$-0.4 $	$-0.1 $	$0.0 $	$0.0 $	$-0.7 $	$5.5 $	$5$	$-4$	$0$
$32$	$0.2 $	$0.0 $	$0.0 $	$0.0 $	$0.0 $	$-3.5 $	$5$	$-5$	$0$
$33$	$-0.3 $	$0.2 $	$0.0 $	$0.0 $	$2.1 $	$2.7 $	$6$	$-4$	$0$
$34$	$0.1 $	$-0.1 $	$0.0 $	$0.0 $	$-1.4 $	$-1.4 $	$6$	$-5$	$0$
$35$	$-0.1 $	$0.1 $	$0.0 $	$0.0 $	$1.4 $	$0.7 $	$6$	$-6$	$0$

Heliozentrische Koordinaten

$l_8 =$	$M_8 + 45\overset{\circ}{.}145656 + (4982\overset{''}{.}8\cdot T - 21\overset{''}{.}3\cdot T^2 + \text{dl})/3600''$
$b_8 =$	$(+ 54\overset{''}{.}77 - 0\overset{''}{.}26\cdot T + 0\overset{''}{.}06\cdot T^2 + \text{db})/3600''$
$r_8 =$	$30.072984\text{ AE} + 1.234 \cdot 10^{-3}\text{ AE} \cdot T + 3.0 \cdot 10^{-6}\text{ AE} \cdot T^2 + 1.0 \cdot 10^{-5}\text{ AE dr}$