Mars

mittlere Anomalien

$M_2 =$	$49\overset{\circ}{.}7594871521 + 58320\overset{\circ}{.}0\cdot T + 157\overset{\circ}{.}37109375\cdot T$
$M_3 =$	$357\overset{\circ}{.}3435058594 + 35640\overset{\circ}{.}0\cdot T + 358\overset{\circ}{.}9296875\cdot T$
$M_4 =$	$19\overset{\circ}{.}3879089355 + 19080\overset{\circ}{.}0\cdot T + 159\overset{\circ}{.}859375\cdot T$
$M_5 =$	$19\overset{\circ}{.}7619838715 + 2880\overset{\circ}{.}0\cdot T + 154\overset{\circ}{.}4619140625\cdot T$
$M_6 =$	$317\overset{\circ}{.}2019958496 + 1080\overset{\circ}{.}0\cdot T + 141\overset{\circ}{.}6689453125\cdot T$

Tabellen

\[\begin{align} dl &= \sum_{n=1}^{12} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s) + b_n \sin(p_n \ M_p + s_n \ M_s)) \\ db &= \sum_{n=1}^{12} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s) + d_n \sin(p_n \ M_p + s_n \ M_s)) \\ dr &= \sum_{n=1}^{12} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s) + f_n \sin(p_n \ M_p + s_n \ M_s)) \end{align}\]

Keplerterme
n	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
$001$	$-5.32$	$38481.97$	$-6321.67$	$1876.89$	$-141856.04$	$0.40 $	$1$	$0$	$0$
$002$	$-1.12$	$37.98 $	$37.28 $	$117.48 $	$-138.67 $	$-2.93$	$1$	$0$	$1$
$003$	$-0.32$	$-0.03 $	$1.04 $	$-0.40 $	$0.12 $	$-1.19$	$1$	$0$	$2$
$004$	$28.28$	$2285.80 $	$-589.35 $	$174.81 $	$-6608.37 $	$0.00 $	$2$	$0$	$0$
$005$	$1.64 $	$3.37 $	$2.89 $	$11.10 $	$-12.93 $	$0.00 $	$2$	$0$	$1$
$006$	$0.00 $	$0.00 $	$0.10 $	$-0.03 $	$0.00 $	$0.00 $	$2$	$0$	$2$
$007$	$5.31 $	$189.29 $	$-61.98 $	$18.53 $	$-461.81 $	$0.00 $	$3$	$0$	$0$
$008$	$0.31 $	$0.35 $	$0.25 $	$1.19 $	$-1.36 $	$0.00 $	$3$	$0$	$1$
$009$	$0.81 $	$17.96 $	$-6.88 $	$2.08 $	$-38.26 $	$0.00 $	$4$	$0$	$0$
$010$	$0.05 $	$0.04 $	$0.02 $	$0.14 $	$-0.15 $	$0.00 $	$4$	$0$	$1$
$011$	$0.11 $	$1.83 $	$-0.79 $	$0.24 $	$-3.48 $	$0.00 $	$5$	$0$	$0$
$012$	$0.02 $	$0.20 $	$-0.09 $	$0.03 $	$-0.34 $	$0.00 $	$6$	$0$	$0$

\[\begin{align} dl &= \sum_{n=13}^{106} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ db &= \sum_{n=13}^{106} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=13}^{106} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \end{align}\]

Störterme der Planeten
n	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
Störungen durch die Venus
$013$	$-0.01$	$-0.03$	$0.00 $	$0.00 $	$0.10 $	$-0.04$	$0$	$-1$	$0$
$014$	$0.05 $	$0.10 $	$0.00 $	$0.00 $	$-2.08$	$0.75 $	$1$	$-1$	$0$
$015$	$-0.25$	$-0.57$	$0.00 $	$0.00 $	$-2.58$	$1.18 $	$2$	$-1$	$0$
$016$	$0.02 $	$0.02 $	$0.00 $	$0.00 $	$0.13 $	$-0.14$	$2$	$-2$	$0$
$017$	$3.41 $	$5.38 $	$0.01 $	$-0.01$	$1.87 $	$-1.15$	$3$	$-1$	$0$
$018$	$0.02 $	$0.02 $	$0.00 $	$0.00 $	$0.11 $	$-0.13$	$3$	$-2$	$0$
$019$	$0.32 $	$0.49 $	$-0.07$	$0.07 $	$-1.88$	$1.21 $	$4$	$-1$	$0$
$020$	$0.03 $	$0.03 $	$0.00 $	$0.00 $	$0.12 $	$-0.14$	$4$	$-2$	$0$
$021$	$0.04 $	$0.06 $	$-0.01$	$0.01 $	$-0.17$	$0.11 $	$5$	$-1$	$0$
$022$	$0.11 $	$0.09 $	$-0.01$	$0.01 $	$-0.35$	$0.43 $	$5$	$-2$	$0$
$023$	$-0.36$	$-0.28$	$0.00 $	$0.00 $	$-0.20$	$0.25 $	$6$	$-2$	$0$
$024$	$-0.03$	$-0.03$	$0.00 $	$-0.01$	$0.11 $	$-0.13$	$7$	$-2$	$0$
n	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
Störungen durch die Erde
$025$	$0.09 $	$0.06 $	$0.02 $	$-0.02$	$0.14 $	$-0.22 $	$-1$	$-1$	$0$
$026$	$0.72 $	$0.49 $	$0.12 $	$-0.10$	$1.55 $	$-2.31 $	$0 $	$-1$	$0$
$027$	$7.00 $	$4.92 $	$0.08 $	$-0.13$	$13.93$	$-20.48$	$1 $	$-1$	$0$
$028$	$13.08$	$4.89 $	$-0.05$	$0.13 $	$-4.53$	$10.01 $	$2 $	$-1$	$0$
$029$	$0.14 $	$0.05 $	$0.01 $	$0.14 $	$0.48 $	$-2.66 $	$2 $	$-2$	$0$
$030$	$1.38 $	$0.56 $	$-0.01$	$0.19 $	$-2.00$	$4.85 $	$3 $	$-1$	$0$
$031$	$-6.85$	$2.68 $	$0.00 $	$0.03 $	$8.38 $	$21.42 $	$3 $	$-2$	$0$
$032$	$-0.08$	$0.20 $	$0.00 $	$0.00 $	$1.20 $	$0.46 $	$3 $	$-3$	$0$
$033$	$0.16 $	$0.07 $	$-0.01$	$0.05 $	$-0.19$	$0.47 $	$4 $	$-1$	$0$
$034$	$-4.41$	$2.14 $	$-0.07$	$-0.09$	$-3.33$	$-7.21 $	$4 $	$-2$	$0$
$035$	$-0.12$	$0.33 $	$-0.03$	$-0.02$	$2.22 $	$0.72 $	$4 $	$-3$	$0$
$036$	$-0.04$	$-0.06$	$0.00 $	$0.00 $	$-0.02$	$0.23 $	$4 $	$-4$	$0$
$037$	$-0.44$	$0.21 $	$-0.06$	$-0.07$	$-0.70$	$-1.46 $	$5 $	$-2$	$0$
$038$	$0.48 $	$-2.60$	$0.00 $	$0.00 $	$-7.25$	$-1.37 $	$5 $	$-3$	$0$
$039$	$-0.09$	$-0.12$	$0.00 $	$0.00 $	$-0.66$	$0.50 $	$5 $	$-4$	$0$
$040$	$0.03 $	$0.00 $	$0.00 $	$0.00 $	$0.01 $	$-0.17 $	$5 $	$-5$	$0$
$041$	$-0.05$	$0.03 $	$-0.01$	$-0.01$	$-0.07$	$-0.15 $	$6 $	$-2$	$0$
$042$	$0.10 $	$-0.96$	$0.04 $	$0.00 $	$2.36 $	$0.30 $	$6 $	$-3$	$0$
$043$	$-0.17$	$-0.20$	$0.02 $	$-0.02$	$-1.09$	$0.94 $	$6 $	$-4$	$0$
$044$	$0.05 $	$0.00 $	$0.00 $	$0.00 $	$0.00 $	$-0.30 $	$6 $	$-5$	$0$
$045$	$0.01 $	$-0.10$	$0.02 $	$0.00 $	$0.32 $	$0.04 $	$7 $	$-3$	$0$
$046$	$0.86 $	$0.77 $	$0.01 $	$-0.01$	$1.86 $	$-2.01 $	$7 $	$-4$	$0$
$047$	$0.09 $	$-0.01$	$0.00 $	$0.00 $	$-0.05$	$-0.44 $	$7 $	$-5$	$0$
$048$	$-0.01$	$0.02 $	$0.00 $	$0.00 $	$0.10 $	$0.08 $	$7 $	$-6$	$0$
$049$	$0.20 $	$0.16 $	$-0.01$	$0.02 $	$-0.53$	$0.64 $	$8 $	$-4$	$0$
$050$	$0.17 $	$-0.03$	$0.00 $	$0.01 $	$-0.14$	$-0.84 $	$8 $	$-5$	$0$
$051$	$-0.02$	$0.03 $	$0.00 $	$0.00 $	$0.16 $	$0.09 $	$8 $	$-6$	$0$
$052$	$-0.55$	$0.15 $	$0.00 $	$0.00 $	$0.30 $	$1.10 $	$9 $	$-5$	$0$
$053$	$-0.02$	$0.04 $	$0.00 $	$0.00 $	$0.20 $	$0.10 $	$9 $	$-6$	$0$
$054$	$-0.09$	$0.03 $	$0.00 $	$-0.01$	$-0.10$	$-0.33 $	$10$	$-5$	$0$
$055$	$-0.05$	$0.11 $	$-0.01$	$0.00 $	$0.48 $	$0.21 $	$10$	$-6$	$0$
$056$	$0.10 $	$-0.35$	$0.00 $	$0.00 $	$-0.52$	$-0.15 $	$11$	$-6$	$0$
$057$	$-0.01$	$-0.02$	$0.00 $	$0.00 $	$-0.10$	$0.07 $	$11$	$-7$	$0$
$058$	$0.01 $	$-0.04$	$0.01 $	$0.00 $	$0.18 $	$0.04 $	$12$	$-6$	$0$
$059$	$-0.05$	$-0.07$	$0.01 $	$0.00 $	$-0.29$	$0.20 $	$12$	$-7$	$0$
$060$	$0.23 $	$0.27 $	$0.00 $	$0.00 $	$0.25 $	$-0.21 $	$13$	$-7$	$0$
$061$	$0.02 $	$0.03 $	$0.00 $	$0.00 $	$-0.10$	$0.09 $	$14$	$-7$	$0$
$062$	$0.05 $	$0.01 $	$0.00 $	$0.00 $	$0.03 $	$-0.23 $	$14$	$-8$	$0$
$063$	$-1.53$	$0.27 $	$0.00 $	$0.00 $	$0.06 $	$0.42 $	$15$	$-8$	$0$
$064$	$-0.14$	$0.02 $	$-0.01$	$-0.02$	$-0.10$	$-0.55 $	$16$	$-8$	$0$
$065$	$0.03 $	$-0.06$	$0.00 $	$0.00 $	$-0.25$	$-0.11 $	$16$	$-9$	$0$
n	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
Störungen durch den Jupiter
$066$	$0.05 $	$0.03 $	$0.01 $	$-0.01$	$0.08 $	$-0.14 $	$-2$	$-1$	$0$
$067$	$0.39 $	$0.27 $	$-0.03$	$-0.06$	$0.92 $	$-1.50 $	$-1$	$-1$	$0$
$068$	$-0.16 $	$0.03 $	$-0.01$	$0.06 $	$0.13 $	$0.67 $	$-1$	$-2$	$0$
$069$	$-0.02 $	$0.01 $	$0.00 $	$0.01 $	$0.05 $	$0.09 $	$-1$	$-3$	$0$
$070$	$3.56 $	$1.13 $	$-0.25$	$-0.24$	$-5.41 $	$-7.18 $	$0 $	$-1$	$0$
$071$	$-1.44 $	$0.25 $	$0.02 $	$0.31 $	$1.24 $	$7.96 $	$0 $	$-2$	$0$
$072$	$-0.21 $	$0.11 $	$0.01 $	$0.05 $	$0.55 $	$1.04 $	$0 $	$-3$	$0$
$073$	$-0.02 $	$0.02 $	$0.01 $	$0.01 $	$0.11 $	$0.11 $	$0 $	$-4$	$0$
$074$	$16.67 $	$-19.15$	$-0.06$	$-0.07$	$61.00 $	$53.36 $	$1 $	$-1$	$0$
$075$	$-21.64$	$3.18 $	$-0.31$	$0.50 $	$-7.77 $	$-54.64$	$1 $	$-2$	$0$
$076$	$-2.82 $	$1.45 $	$0.01 $	$0.07 $	$-2.53 $	$-5.73 $	$1 $	$-3$	$0$
$077$	$-0.31 $	$0.28 $	$0.00 $	$0.00 $	$-0.34 $	$-0.51 $	$1 $	$-4$	$0$
$078$	$2.15 $	$-2.29 $	$0.33 $	$0.19 $	$7.04 $	$6.94 $	$2 $	$-1$	$0$
$079$	$-15.69$	$3.31 $	$-0.17$	$0.25 $	$-15.70$	$-73.17$	$2 $	$-2$	$0$
$080$	$-1.73 $	$1.95 $	$0.02 $	$-0.03$	$-9.19 $	$-7.20 $	$2 $	$-3$	$0$
$081$	$-0.01 $	$0.33 $	$0.01 $	$-0.01$	$-1.42 $	$0.08 $	$2 $	$-4$	$0$
$082$	$0.03 $	$0.03 $	$0.00 $	$0.00 $	$-0.13 $	$0.12 $	$2 $	$-5$	$0$
$083$	$0.26 $	$-0.28 $	$0.08 $	$0.04 $	$0.73 $	$0.71 $	$3 $	$-1$	$0$
$084$	$-2.06 $	$0.46 $	$-0.13$	$-0.25$	$-1.61 $	$-6.72 $	$3 $	$-2$	$0$
$085$	$-1.28 $	$-0.27 $	$-0.04$	$-0.02$	$2.21 $	$-6.90 $	$3 $	$-3$	$0$
$086$	$-0.22 $	$0.08 $	$0.00 $	$0.01 $	$-0.44 $	$-1.25 $	$3 $	$-4$	$0$
$087$	$-0.02 $	$0.03 $	$0.00 $	$0.00 $	$-0.15 $	$0.08 $	$3 $	$-5$	$0$
$088$	$0.03 $	$-0.03 $	$0.01 $	$0.01 $	$0.08 $	$0.08 $	$4 $	$-1$	$0$
$089$	$-0.26 $	$0.06 $	$-0.03$	$-0.05$	$-0.17 $	$-0.70 $	$4 $	$-2$	$0$
$090$	$-0.20 $	$-0.05 $	$-0.01$	$-0.02$	$0.22 $	$-0.79 $	$4 $	$-3$	$0$
$091$	$-0.11 $	$-0.14 $	$0.00 $	$0.00 $	$0.93 $	$-0.60 $	$4 $	$-4$	$0$
$092$	$-0.04 $	$-0.02 $	$0.00 $	$0.00 $	$0.09 $	$-0.23 $	$4 $	$-5$	$0$
$093$	$-0.02 $	$-0.03 $	$0.00 $	$0.00 $	$0.13 $	$-0.09 $	$5 $	$-4$	$0$
$094$	$0.00 $	$-0.03 $	$0.00 $	$0.00 $	$0.21 $	$0.01 $	$5 $	$-5$	$0$
n	$a_n['']$	$b_n['']$	$c_n['']$	$d_n['']$	$e_n['']$	$f_n['']$	$p_n$	$s_n$	$t_n$
Störungen durch den Saturn
$095$	$0.03 $	$0.13 $	$0.02 $	$0.00 $	$0.48 $	$-0.13 $	$-1$	$-1$	$0$
$096$	$0.27 $	$0.84 $	$0.01 $	$-0.01$	$0.40 $	$-0.43 $	$0 $	$-1$	$0$
$097$	$0.12 $	$-0.04 $	$-0.01$	$-0.02$	$-0.33 $	$-0.55 $	$0 $	$-2$	$0$
$098$	$0.02 $	$-0.01 $	$0.00 $	$0.00 $	$-0.07 $	$-0.08 $	$0 $	$-3$	$0$
$099$	$1.12 $	$0.76 $	$-0.01$	$0.01 $	$-2.66 $	$3.91 $	$1 $	$-1$	$0$
$100$	$1.49 $	$-0.95 $	$0.04 $	$-0.05$	$3.07 $	$4.83 $	$1 $	$-2$	$0$
$101$	$0.21 $	$-0.18 $	$0.00 $	$0.00 $	$0.55 $	$0.64 $	$1 $	$-3$	$0$
$102$	$0.12 $	$0.10 $	$-0.01$	$0.02 $	$-0.29 $	$0.34 $	$2 $	$-1$	$0$
$103$	$0.51 $	$-0.36 $	$0.03 $	$0.01 $	$1.61 $	$2.25 $	$2 $	$-2$	$0$
$104$	$0.10 $	$-0.10 $	$0.00 $	$0.00 $	$0.50 $	$0.43 $	$2 $	$-3$	$0$
$105$	$0.01 $	$-0.02 $	$0.00 $	$0.00 $	$0.11 $	$0.05 $	$2 $	$-4$	$0$
$106$	$0.07 $	$-0.05 $	$0.01 $	$0.01 $	$0.16 $	$0.22 $	$3 $	$-2$	$0$

Heliozentrische Koordinaten

$\Delta l =$	$+ 52\overset{''}{.}49\sin(67\overset{\circ}{.}248 + 19\overset{\circ}{.}764\cdot T) + 0\overset{''}{.}61\sin(331\overset{\circ}{.}92 + 119\overset{\circ}{.}052\cdot T)$
	$+ 0\overset{''}{.}32\sin(170\overset{\circ}{.}316 + 773\overset{\circ}{.}46\cdot T) + 0\overset{''}{.}28\sin(340\overset{\circ}{.}812 + 40\overset{\circ}{.}788\cdot T)$
$l_4 =$	$M_4 + 336\overset{\circ}{.}045276 + (0\overset{''}{.}14 + 6616\overset{''}{.}37\cdot T + 0\overset{''}{.}99\cdot T^2 + \Delta l + \text{dl})/3600''$
$b_4 =$	$(+ 596\overset{''}{.}32 - 2\overset{''}{.}92\cdot T - 0\overset{''}{.}10\cdot T^2 + \text{db})/3600''$
$r_4 =$	$1.5303352\text{ AE} + 1.31 \cdot 10^{-5}\text{ AE} \cdot T + 10^{-6}\text{ AE dr}$