tabellen:mars_de200
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| Beide Seiten, vorherige ÜberarbeitungVorherige ÜberarbeitungNächste Überarbeitung | Vorherige Überarbeitung | ||
| tabellen:mars_de200 [2024/05/08 17:26] – quern | tabellen:mars_de200 [2024/12/20 01:57] (aktuell) – Externe Bearbeitung 127.0.0.1 | ||
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| Zeile 3: | Zeile 3: | ||
| ====== Mars ====== | ====== Mars ====== | ||
| - | {{ : | + | {{ : |
| ===== mittlere Anomalien ===== | ===== mittlere Anomalien ===== | ||
| {{tablelayout? | {{tablelayout? | ||
| + | ^ Tabelle 1 || | ||
| | $M_2 =$ | $49\overset{\circ}{.}759488 + 58320\overset{\circ}{.}0 \cdot T + 197\overset{\circ}{.}371512 \cdot T$ | | | $M_2 =$ | $49\overset{\circ}{.}759488 + 58320\overset{\circ}{.}0 \cdot T + 197\overset{\circ}{.}371512 \cdot T$ | | ||
| | $M_3 =$ | $357\overset{\circ}{.}343488 + 35640\overset{\circ}{.}0 \cdot T + 358\overset{\circ}{.}928496 \cdot T$ | | | $M_3 =$ | $357\overset{\circ}{.}343488 + 35640\overset{\circ}{.}0 \cdot T + 358\overset{\circ}{.}928496 \cdot T$ | | ||
| Zeile 16: | Zeile 17: | ||
| ===== Tabellen ===== | ===== Tabellen ===== | ||
| - | {{tablelayout? | + | \[\begin{align} |
| - | | \[\begin{align} dl &= \sum_{n=1}^{12} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s) + b_n \sin(p_n \ M_p + s_n \ M_s)) \\ db &= \sum_{n=1}^{12} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s) + d_n \sin(p_n \ M_p + s_n \ M_s)) \\ dr &= \sum_{n=1}^{12} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s) + f_n \sin(p_n \ M_p + s_n \ M_s)) \end{align}\] | + | 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? | {{tablelayout? | ||
| - | ^ Keplerterme | + | ^ |
| ^ n ^ $a_n['' | ^ n ^ $a_n['' | ||
| - | | $001$ | $-5.32$ | + | | $001$ | $-5.32$ |
| - | | $002$ | $-1.12$ | + | | $002$ | $-1.12$ |
| - | | $003$ | $-0.32$ | + | | $003$ | $-0.32$ |
| - | | $004$ | $28.28$ | + | | $004$ | $28.28$ |
| - | | $005$ | $1.64 $ | + | | $005$ | $1.64 $ |
| - | | $006$ | $0.00 $ | + | | $006$ | $0.00 $ |
| - | | $007$ | $5.31 $ | + | | $007$ | $5.31 $ |
| - | | $008$ | $0.31 $ | + | | $008$ | $0.31 $ |
| - | | $009$ | $0.81 $ | + | | $009$ | $0.81 $ |
| - | | $010$ | $0.05 $ | + | | $010$ | $0.05 $ |
| - | | $011$ | $0.11 $ | + | | $011$ | $0.11 $ |
| - | | $012$ | $0.02 $ | + | | $012$ | $0.02 $ |
| - | {{tablelayout? | + | \[\begin{align} |
| - | | \[\begin{align} dl &= \sum_{n=13}^{106} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ db &= \sum_{n=13}^{106} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=13}^{106} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \end{align}\] | + | 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? | {{tablelayout? | ||
| - | ^ Störterme der Planeten | + | ^ |
| ^ Störungen durch die Venus |||||||||| | ^ Störungen durch die Venus |||||||||| | ||
| ^ n ^ $a_n['' | ^ n ^ $a_n['' | ||
| - | | $013$ | $-0.01$ | + | | $013$ | $-0.01$ |
| - | | $014$ | $0.05 $ | + | | $014$ | $0.05 $ |
| - | | $015$ | $-0.25$ | + | | $015$ | $-0.25$ |
| - | | $016$ | $0.02 $ | + | | $016$ | $0.02 $ |
| - | | $017$ | $3.41 $ | + | | $017$ | $3.41 $ |
| - | | $018$ | $0.02 $ | + | | $018$ | $0.02 $ |
| - | | $019$ | $0.32 $ | + | | $019$ | $0.32 $ |
| - | | $020$ | $0.03 $ | + | | $020$ | $0.03 $ |
| - | | $021$ | $0.04 $ | + | | $021$ | $0.04 $ |
| - | | $022$ | $0.11 $ | + | | $022$ | $0.11 $ |
| - | | $023$ | $-0.36$ | + | | $023$ | $-0.36$ |
| - | | $024$ | $-0.03$ | + | | $024$ | $-0.03$ |
| ^ Störungen durch die Erde |||||||||| | ^ Störungen durch die Erde |||||||||| | ||
| ^ n ^ $a_n['' | ^ n ^ $a_n['' | ||
| - | | $025$ | $0.09 $ | + | | $025$ | $0.09 $ |
| - | | $026$ | $0.72 $ | + | | $026$ | $0.72 $ |
| - | | $027$ | $7.00 $ | + | | $027$ | $7.00 $ |
| - | | $028$ | $13.08$ | + | | $028$ | $13.08$ |
| - | | $029$ | $0.14 $ | + | | $029$ | $0.14 $ |
| - | | $030$ | $1.38 $ | + | | $030$ | $1.38 $ |
| - | | $031$ | $-6.85$ | + | | $031$ | $-6.85$ |
| - | | $032$ | $-0.08$ | + | | $032$ | $-0.08$ |
| - | | $033$ | $0.16 $ | + | | $033$ | $0.16 $ |
| - | | $034$ | $-4.41$ | + | | $034$ | $-4.41$ |
| - | | $035$ | $-0.12$ | + | | $035$ | $-0.12$ |
| - | | $036$ | $-0.04$ | + | | $036$ | $-0.04$ |
| - | | $037$ | $-0.44$ | + | | $037$ | $-0.44$ |
| - | | $038$ | $0.48 $ | + | | $038$ | $0.48 $ |
| - | | $039$ | $-0.09$ | + | | $039$ | $-0.09$ |
| - | | $040$ | $0.03 $ | + | | $040$ | $0.03 $ |
| - | | $041$ | $-0.05$ | + | | $041$ | $-0.05$ |
| - | | $042$ | $0.10 $ | + | | $042$ | $0.10 $ |
| - | | $043$ | $-0.17$ | + | | $043$ | $-0.17$ |
| - | | $044$ | $0.05 $ | + | | $044$ | $0.05 $ |
| - | | $045$ | $0.01 $ | + | | $045$ | $0.01 $ |
| - | | $046$ | $0.86 $ | + | | $046$ | $0.86 $ |
| - | | $047$ | $0.09 $ | + | | $047$ | $0.09 $ |
| - | | $048$ | $-0.01$ | + | | $048$ | $-0.01$ |
| - | | $049$ | $0.20 $ | + | | $049$ | $0.20 $ |
| - | | $050$ | $0.17 $ | + | | $050$ | $0.17 $ |
| - | | $051$ | $-0.02$ | + | | $051$ | $-0.02$ |
| - | | $052$ | $-0.55$ | + | | $052$ | $-0.55$ |
| - | | $053$ | $-0.02$ | + | | $053$ | $-0.02$ |
| - | | $054$ | $-0.09$ | + | | $054$ | $-0.09$ |
| - | | $055$ | $-0.05$ | + | | $055$ | $-0.05$ |
| - | | $056$ | $0.10 $ | + | | $056$ | $0.10 $ |
| - | | $057$ | $-0.01$ | + | | $057$ | $-0.01$ |
| - | | $058$ | $0.01 $ | + | | $058$ | $0.01 $ |
| - | | $059$ | $-0.05$ | + | | $059$ | $-0.05$ |
| - | | $060$ | $0.23 $ | + | | $060$ | $0.23 $ |
| - | | $061$ | $0.02 $ | + | | $061$ | $0.02 $ |
| - | | $062$ | $0.05 $ | + | | $062$ | $0.05 $ |
| - | | $063$ | $-1.53$ | + | | $063$ | $-1.53$ |
| - | | $064$ | $-0.14$ | + | | $064$ | $-0.14$ |
| - | | $065$ | $0.03 $ | + | | $065$ | $0.03 $ |
| ^ Störungen durch den Jupiter | ^ Störungen durch den Jupiter | ||
| ^ n ^ $a_n['' | ^ n ^ $a_n['' | ||
| - | | $066$ | $0.05 $ | $0.03 $ | $0.01 $ | + | | $066$ | $0.05 $ | $0.03 $ | $0.01 $ |
| - | | $067$ | $0.39 $ | $0.27 $ | $-0.03$ | + | | $067$ | $0.39 $ | $0.27 $ | $-0.03$ |
| - | | $068$ | $-0.16 $ | $0.03 $ | $-0.01$ | + | | $068$ | $-0.16 $ | $0.03 $ | $-0.01$ |
| - | | $069$ | $-0.02 $ | $0.01 $ | $0.00 $ | + | | $069$ | $-0.02 $ | $0.01 $ | $0.00 $ |
| - | | $070$ | $3.56 $ | $1.13 $ | $-0.25$ | + | | $070$ | $3.56 $ | $1.13 $ | $-0.25$ |
| - | | $071$ | $-1.44 $ | $0.25 $ | $0.02 $ | + | | $071$ | $-1.44 $ | $0.25 $ | $0.02 $ |
| - | | $072$ | $-0.21 $ | $0.11 $ | $0.01 $ | + | | $072$ | $-0.21 $ | $0.11 $ | $0.01 $ |
| - | | $073$ | $-0.02 $ | $0.02 $ | $0.01 $ | + | | $073$ | $-0.02 $ | $0.02 $ | $0.01 $ |
| - | | $074$ | $16.67 $ | $-19.15$ | + | | $074$ | $16.67 $ | $-19.15$ |
| - | | $075$ | $-21.64$ | + | | $075$ | $-21.64$ |
| - | | $076$ | $-2.82 $ | $1.45 $ | $0.01 $ | + | | $076$ | $-2.82 $ | $1.45 $ | $0.01 $ |
| - | | $077$ | $-0.31 $ | $0.28 $ | $0.00 $ | + | | $077$ | $-0.31 $ | $0.28 $ | $0.00 $ |
| - | | $078$ | $2.15 $ | $-2.29 $ | $0.33 $ | + | | $078$ | $2.15 $ | $-2.29 $ | $0.33 $ |
| - | | $079$ | $-15.69$ | + | | $079$ | $-15.69$ |
| - | | $080$ | $-1.73 $ | $1.95 $ | $0.02 $ | + | | $080$ | $-1.73 $ | $1.95 $ | $0.02 $ |
| - | | $081$ | $-0.01 $ | $0.33 $ | $0.01 $ | + | | $081$ | $-0.01 $ | $0.33 $ | $0.01 $ |
| - | | $082$ | $0.03 $ | $0.03 $ | $0.00 $ | + | | $082$ | $0.03 $ | $0.03 $ | $0.00 $ |
| - | | $083$ | $0.26 $ | $-0.28 $ | $0.08 $ | + | | $083$ | $0.26 $ | $-0.28 $ | $0.08 $ |
| - | | $084$ | $-2.06 $ | $0.46 $ | $-0.13$ | + | | $084$ | $-2.06 $ | $0.46 $ | $-0.13$ |
| - | | $085$ | $-1.28 $ | $-0.27 $ | $-0.04$ | + | | $085$ | $-1.28 $ | $-0.27 $ | $-0.04$ |
| - | | $086$ | $-0.22 $ | $0.08 $ | $0.00 $ | + | | $086$ | $-0.22 $ | $0.08 $ | $0.00 $ |
| - | | $087$ | $-0.02 $ | $0.03 $ | $0.00 $ | + | | $087$ | $-0.02 $ | $0.03 $ | $0.00 $ |
| - | | $088$ | $0.03 $ | $-0.03 $ | $0.01 $ | + | | $088$ | $0.03 $ | $-0.03 $ | $0.01 $ |
| - | | $089$ | $-0.26 $ | $0.06 $ | $-0.03$ | + | | $089$ | $-0.26 $ | $0.06 $ | $-0.03$ |
| - | | $090$ | $-0.20 $ | $-0.05 $ | $-0.01$ | + | | $090$ | $-0.20 $ | $-0.05 $ | $-0.01$ |
| - | | $091$ | $-0.11 $ | $-0.14 $ | $0.00 $ | + | | $091$ | $-0.11 $ | $-0.14 $ | $0.00 $ |
| - | | $092$ | $-0.04 $ | $-0.02 $ | $0.00 $ | + | | $092$ | $-0.04 $ | $-0.02 $ | $0.00 $ |
| - | | $093$ | $-0.02 $ | $-0.03 $ | $0.00 $ | + | | $093$ | $-0.02 $ | $-0.03 $ | $0.00 $ |
| - | | $094$ | $0.00 $ | $-0.03 $ | $0.00 $ | + | | $094$ | $0.00 $ | $-0.03 $ | $0.00 $ |
| ^ Störungen durch den Saturn | ^ Störungen durch den Saturn | ||
| ^ n ^ $a_n['' | ^ n ^ $a_n['' | ||
| - | | $095$ | $0.03 $ | $0.13 $ | $0.02 $ | + | | $095$ | $0.03 $ | $0.13 $ | $0.02 $ |
| - | | $096$ | $0.27 $ | $0.84 $ | $0.01 $ | + | | $096$ | $0.27 $ | $0.84 $ | $0.01 $ |
| - | | $097$ | $0.12 $ | $-0.04 $ | $-0.01$ | + | | $097$ | $0.12 $ | $-0.04 $ | $-0.01$ |
| - | | $098$ | $0.02 $ | $-0.01 $ | $0.00 $ | + | | $098$ | $0.02 $ | $-0.01 $ | $0.00 $ |
| - | | $099$ | $1.12 $ | $0.76 $ | $-0.01$ | + | | $099$ | $1.12 $ | $0.76 $ | $-0.01$ |
| - | | $100$ | $1.49 $ | $-0.95 $ | $0.04 $ | + | | $100$ | $1.49 $ | $-0.95 $ | $0.04 $ |
| - | | $101$ | $0.21 $ | $-0.18 $ | $0.00 $ | + | | $101$ | $0.21 $ | $-0.18 $ | $0.00 $ |
| - | | $102$ | $0.12 $ | $0.10 $ | $-0.01$ | + | | $102$ | $0.12 $ | $0.10 $ | $-0.01$ |
| - | | $103$ | $0.51 $ | $-0.36 $ | $0.03 $ | + | | $103$ | $0.51 $ | $-0.36 $ | $0.03 $ |
| - | | $104$ | $0.10 $ | $-0.10 $ | $0.00 $ | + | | $104$ | $0.10 $ | $-0.10 $ | $0.00 $ |
| - | | $105$ | $0.01 $ | $-0.02 $ | $0.00 $ | + | | $105$ | $0.01 $ | $-0.02 $ | $0.00 $ |
| - | | $106$ | $0.07 $ | $-0.05 $ | $0.01 $ | + | | $106$ | $0.07 $ | $-0.05 $ | $0.01 $ |
| ===== Heliozentrische Koordinaten ===== | ===== Heliozentrische Koordinaten ===== | ||
| - | | $\Delta l =$ | $+ 52\overset{'' | + | \[\begin{align} |
| - | | | $+ 0\overset{'' | + | \Delta l &= + 52\overset{'' |
| - | | $l_4 =$ | $M_4 + 336\overset{\circ}{.}045276 + (0\overset{'' | + | & + 0\overset{'' |
| - | | $b_4 =$ | $(+ 596\overset{'' | + | l_4 &= M_4 + 336\overset{\circ}{.}045276 + (0\overset{'' |
| - | | $r_4 =$ | $1.5303352\text{ AE} + 1.31 \cdot 10^{-5}\text{ AE} \cdot T + 10^{-6}\text{ AE dr}$ | | + | b_4 &= (+ 596\overset{'' |
| + | r_4 &= 1.5303352\text{ AE} + 1.31 \cdot 10^{-5}\text{ AE} \cdot T + 10^{-6}\text{ AE dr} | ||
| + | \end{align}\tag{3}\] | ||
tabellen/mars_de200.1715181997.txt.gz · Zuletzt geändert: 2024/12/20 01:42 (Externe Bearbeitung)