tabellen:mars_de200
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+ | |[[tabellen: | ||
+ | ====== Mars ====== | ||
+ | |||
+ | {{ : | ||
+ | |||
+ | ===== mittlere Anomalien ===== | ||
+ | |||
+ | {{tablelayout? | ||
+ | ^ Tabelle 1 || | ||
+ | | $M_2 =$ | $49\overset{\circ}{.}759488 + 58320\overset{\circ}{.}0 \cdot T + 197\overset{\circ}{.}371512 \cdot T$ | | ||
+ | | $M_3 =$ | $357\overset{\circ}{.}343488 + 35640\overset{\circ}{.}0 \cdot T + 358\overset{\circ}{.}928496 \cdot T$ | | ||
+ | | $M_4 =$ | $19\overset{\circ}{.}387908 + 19080\overset{\circ}{.}0 \cdot T + 59\overset{\circ}{.}858496 \cdot T$ | | ||
+ | | $M_5 =$ | $19\overset{\circ}{.}761984 + 2880\overset{\circ}{.}0 \cdot T + 154\overset{\circ}{.}461996 \cdot T$ | | ||
+ | | $M_6 =$ | $317\overset{\circ}{.}202012 + 1080\overset{\circ}{.}0 \cdot T + 141\overset{\circ}{.}669000 \cdot T$ | | ||
+ | |||
+ | ===== Tabellen ===== | ||
+ | |||
+ | \[\begin{align} | ||
+ | dl &= \sum_{n=1}^{12} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s) + b_n \sin(p_n \ M_p + s_n \ M_s)) \\ | ||
+ | db &= \sum_{n=1}^{12} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s) + d_n \sin(p_n \ M_p + s_n \ M_s)) \\ | ||
+ | dr &= \sum_{n=1}^{12} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s) + f_n \sin(p_n \ M_p + s_n \ M_s)) | ||
+ | \end{align}\tag{1}\] | ||
+ | |||
+ | {{tablelayout? | ||
+ | ^ Tabelle 2: Keplerterme | ||
+ | ^ n ^ $a_n['' | ||
+ | | $001$ | $-5.32$ | ||
+ | | $002$ | $-1.12$ | ||
+ | | $003$ | $-0.32$ | ||
+ | | $004$ | $28.28$ | ||
+ | | $005$ | $1.64 $ | ||
+ | | $006$ | $0.00 $ | ||
+ | | $007$ | $5.31 $ | ||
+ | | $008$ | $0.31 $ | ||
+ | | $009$ | $0.81 $ | ||
+ | | $010$ | $0.05 $ | ||
+ | | $011$ | $0.11 $ | ||
+ | | $012$ | $0.02 $ | ||
+ | |||
+ | \[\begin{align} | ||
+ | dl &= \sum_{n=13}^{106} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ | ||
+ | db &= \sum_{n=13}^{106} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ | ||
+ | dr &= \sum_{n=13}^{106} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) | ||
+ | \end{align}\tag{2}\] | ||
+ | |||
+ | {{tablelayout? | ||
+ | ^ Tabelle 3: Störterme der Planeten | ||
+ | ^ Störungen durch die Venus |||||||||| | ||
+ | ^ n ^ $a_n['' | ||
+ | | $013$ | $-0.01$ | ||
+ | | $014$ | $0.05 $ | ||
+ | | $015$ | $-0.25$ | ||
+ | | $016$ | $0.02 $ | ||
+ | | $017$ | $3.41 $ | ||
+ | | $018$ | $0.02 $ | ||
+ | | $019$ | $0.32 $ | ||
+ | | $020$ | $0.03 $ | ||
+ | | $021$ | $0.04 $ | ||
+ | | $022$ | $0.11 $ | ||
+ | | $023$ | $-0.36$ | ||
+ | | $024$ | $-0.03$ | ||
+ | ^ Störungen durch die Erde |||||||||| | ||
+ | ^ n ^ $a_n['' | ||
+ | | $025$ | $0.09 $ | ||
+ | | $026$ | $0.72 $ | ||
+ | | $027$ | $7.00 $ | ||
+ | | $028$ | $13.08$ | ||
+ | | $029$ | $0.14 $ | ||
+ | | $030$ | $1.38 $ | ||
+ | | $031$ | $-6.85$ | ||
+ | | $032$ | $-0.08$ | ||
+ | | $033$ | $0.16 $ | ||
+ | | $034$ | $-4.41$ | ||
+ | | $035$ | $-0.12$ | ||
+ | | $036$ | $-0.04$ | ||
+ | | $037$ | $-0.44$ | ||
+ | | $038$ | $0.48 $ | ||
+ | | $039$ | $-0.09$ | ||
+ | | $040$ | $0.03 $ | ||
+ | | $041$ | $-0.05$ | ||
+ | | $042$ | $0.10 $ | ||
+ | | $043$ | $-0.17$ | ||
+ | | $044$ | $0.05 $ | ||
+ | | $045$ | $0.01 $ | ||
+ | | $046$ | $0.86 $ | ||
+ | | $047$ | $0.09 $ | ||
+ | | $048$ | $-0.01$ | ||
+ | | $049$ | $0.20 $ | ||
+ | | $050$ | $0.17 $ | ||
+ | | $051$ | $-0.02$ | ||
+ | | $052$ | $-0.55$ | ||
+ | | $053$ | $-0.02$ | ||
+ | | $054$ | $-0.09$ | ||
+ | | $055$ | $-0.05$ | ||
+ | | $056$ | $0.10 $ | ||
+ | | $057$ | $-0.01$ | ||
+ | | $058$ | $0.01 $ | ||
+ | | $059$ | $-0.05$ | ||
+ | | $060$ | $0.23 $ | ||
+ | | $061$ | $0.02 $ | ||
+ | | $062$ | $0.05 $ | ||
+ | | $063$ | $-1.53$ | ||
+ | | $064$ | $-0.14$ | ||
+ | | $065$ | $0.03 $ | ||
+ | ^ Störungen durch den Jupiter | ||
+ | ^ n ^ $a_n['' | ||
+ | | $066$ | $0.05 $ | $0.03 $ | $0.01 $ | ||
+ | | $067$ | $0.39 $ | $0.27 $ | $-0.03$ | ||
+ | | $068$ | $-0.16 $ | $0.03 $ | $-0.01$ | ||
+ | | $069$ | $-0.02 $ | $0.01 $ | $0.00 $ | ||
+ | | $070$ | $3.56 $ | $1.13 $ | $-0.25$ | ||
+ | | $071$ | $-1.44 $ | $0.25 $ | $0.02 $ | ||
+ | | $072$ | $-0.21 $ | $0.11 $ | $0.01 $ | ||
+ | | $073$ | $-0.02 $ | $0.02 $ | $0.01 $ | ||
+ | | $074$ | $16.67 $ | $-19.15$ | ||
+ | | $075$ | $-21.64$ | ||
+ | | $076$ | $-2.82 $ | $1.45 $ | $0.01 $ | ||
+ | | $077$ | $-0.31 $ | $0.28 $ | $0.00 $ | ||
+ | | $078$ | $2.15 $ | $-2.29 $ | $0.33 $ | ||
+ | | $079$ | $-15.69$ | ||
+ | | $080$ | $-1.73 $ | $1.95 $ | $0.02 $ | ||
+ | | $081$ | $-0.01 $ | $0.33 $ | $0.01 $ | ||
+ | | $082$ | $0.03 $ | $0.03 $ | $0.00 $ | ||
+ | | $083$ | $0.26 $ | $-0.28 $ | $0.08 $ | ||
+ | | $084$ | $-2.06 $ | $0.46 $ | $-0.13$ | ||
+ | | $085$ | $-1.28 $ | $-0.27 $ | $-0.04$ | ||
+ | | $086$ | $-0.22 $ | $0.08 $ | $0.00 $ | ||
+ | | $087$ | $-0.02 $ | $0.03 $ | $0.00 $ | ||
+ | | $088$ | $0.03 $ | $-0.03 $ | $0.01 $ | ||
+ | | $089$ | $-0.26 $ | $0.06 $ | $-0.03$ | ||
+ | | $090$ | $-0.20 $ | $-0.05 $ | $-0.01$ | ||
+ | | $091$ | $-0.11 $ | $-0.14 $ | $0.00 $ | ||
+ | | $092$ | $-0.04 $ | $-0.02 $ | $0.00 $ | ||
+ | | $093$ | $-0.02 $ | $-0.03 $ | $0.00 $ | ||
+ | | $094$ | $0.00 $ | $-0.03 $ | $0.00 $ | ||
+ | ^ Störungen durch den Saturn | ||
+ | ^ n ^ $a_n['' | ||
+ | | $095$ | $0.03 $ | $0.13 $ | $0.02 $ | ||
+ | | $096$ | $0.27 $ | $0.84 $ | $0.01 $ | ||
+ | | $097$ | $0.12 $ | $-0.04 $ | $-0.01$ | ||
+ | | $098$ | $0.02 $ | $-0.01 $ | $0.00 $ | ||
+ | | $099$ | $1.12 $ | $0.76 $ | $-0.01$ | ||
+ | | $100$ | $1.49 $ | $-0.95 $ | $0.04 $ | ||
+ | | $101$ | $0.21 $ | $-0.18 $ | $0.00 $ | ||
+ | | $102$ | $0.12 $ | $0.10 $ | $-0.01$ | ||
+ | | $103$ | $0.51 $ | $-0.36 $ | $0.03 $ | ||
+ | | $104$ | $0.10 $ | $-0.10 $ | $0.00 $ | ||
+ | | $105$ | $0.01 $ | $-0.02 $ | $0.00 $ | ||
+ | | $106$ | $0.07 $ | $-0.05 $ | $0.01 $ | ||
+ | |||
+ | ===== Heliozentrische Koordinaten ===== | ||
+ | |||
+ | \[\begin{align} | ||
+ | \Delta l &= + 52\overset{'' | ||
+ | & + 0\overset{'' | ||
+ | l_4 &= M_4 + 336\overset{\circ}{.}045276 + (0\overset{'' | ||
+ | b_4 &= (+ 596\overset{'' | ||
+ | r_4 &= 1.5303352\text{ AE} + 1.31 \cdot 10^{-5}\text{ AE} \cdot T + 10^{-6}\text{ AE dr} | ||
+ | \end{align}\tag{3}\] |