tabellen:merkur_de200
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| tabellen:merkur_de200 [2024/03/10 18:56] – ↷ Links angepasst weil Seiten im Wiki verschoben wurden hcgreier | tabellen:merkur_de200 [2024/12/20 01:57] (aktuell) – Externe Bearbeitung 127.0.0.1 | ||
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| Zeile 3: | Zeile 3: | ||
| ====== Merkur ====== | ====== Merkur ====== | ||
| - | {{ : | + | {{ : |
| ===== mittlere Anomalien ===== | ===== mittlere Anomalien ===== | ||
| - | | $M_1 =$ | $174\overset{\circ}{.}7946472168 | + | {{tablelayout? |
| - | | $M_2 =$ | $50\overset{\circ}{.}1919898987 | + | ^ Tabelle 1 || |
| - | | $M_3 =$ | $357\overset{\circ}{.}7630004883 | + | | $M_1 =$ | $174\overset{\circ}{.}794652 |
| - | | $M_5 =$ | $20\overset{\circ}{.}1030120850 | + | | $M_2 =$ | $50\overset{\circ}{.}191992 |
| - | | $M_6 =$ | $317\overset{\circ}{.}6399841309 | + | | $M_3 =$ | $357\overset{\circ}{.}762996 |
| + | | $M_5 =$ | $20\overset{\circ}{.}103012 | ||
| + | | $M_6 =$ | $317\overset{\circ}{.}639988 | ||
| ===== Tabellen ===== | ===== Tabellen ===== | ||
| - | {{tablelayout? | + | \[\begin{align} |
| - | | \[\begin{align} dl &= \sum_{n=1}^{17} T^{t_n} (a_n \cos(q_n \ M_p + s_n \ M_s) + b_n \sin(q_n \ M_p + s_n \ M_s)) \\ db &= \sum_{n=1}^{17} T^{t_n} (c_n \cos(q_n \ M_p + s_n \ M_s) + d_n \sin(q_n \ M_p + s_n \ M_s)) \\ dr &= \sum_{n=1}^{17} T^{t_n} (e_n \cos(q_n \ M_p + s_n \ M_s) + f_n \sin(q_n \ M_p + s_n \ M_s)) \end{align}\] | + | dl &= \sum_{n=1}^{17} 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}^{17} 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}^{17} 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['' |
| - | | $01$ | + | | $01$ |
| - | | $02$ | + | | $02$ |
| - | | $03$ | + | | $03$ |
| - | | $04$ | + | | $04$ |
| - | | $05$ | + | | $05$ |
| - | | $06$ | + | | $06$ |
| - | | $07$ | + | | $07$ |
| - | | $08$ | + | | $08$ |
| - | | $09$ | + | | $09$ |
| - | | $10$ | + | | $10$ |
| - | | $11$ | + | | $11$ |
| - | | $12$ | + | | $12$ |
| - | | $13$ | + | | $13$ |
| - | | $14$ | + | | $14$ |
| - | | $15$ | + | | $15$ |
| - | | $16$ | + | | $16$ |
| - | | $17$ | + | | $17$ |
| - | {{tablelayout? | + | \[\begin{align} |
| - | | \[\begin{align} dl &= \sum_{n=18}^{54} a_n \cos(q_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(q_n \ M_p + s_n \ M_s + t_n \ M_t) \\ db &= \sum_{n=18}^{54} c_n \cos(q_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(q_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=18}^{54} e_n \cos(q_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(q_n \ M_p + s_n \ M_s + t_n \ M_t) \end{align}\] | + | dl &= \sum_{n=18}^{54} 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=18}^{54} 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=18}^{54} 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}\] | ||
| - | ^ Störterme der Planeten | + | {{tablelayout? |
| - | ^ $n$ ^ $a_n['' | + | ^ |
| - | | Störungen durch die Venus | + | ^ Störungen durch die Venus |
| - | | $18$ | + | ^ $n$ ^ $a_n['' |
| - | | $19$ | + | | $18$ |
| - | | $20$ | + | | $19$ |
| - | | $21$ | + | | $20$ |
| - | | $22$ | + | | $21$ |
| - | | $23$ | + | | $22$ |
| - | | $24$ | + | | $23$ |
| - | | $25$ | + | | $24$ |
| - | | $26$ | + | | $25$ |
| - | | $27$ | + | | $26$ |
| - | | $28$ | + | | $27$ |
| - | | $29$ | + | | $28$ |
| - | | $30$ | + | | $29$ |
| - | | $31$ | + | | $30$ |
| - | | $32$ | + | | $31$ |
| - | | $33$ | + | | $32$ |
| - | | $34$ | + | | $33$ |
| - | | $35$ | + | | $34$ |
| - | | $36$ | + | | $35$ |
| - | ^ $n$ ^ $a_n['' | + | | $36$ |
| - | | Störungen durch die Erde |||||||||| | + | ^ Störungen durch die Erde |||||||||| |
| - | | $37$ | + | ^ $n$ ^ $a_n['' |
| - | | $38$ | + | | $37$ |
| - | | $39$ | + | | $38$ |
| - | | $40$ | + | | $39$ |
| - | | $41$ | + | | $40$ |
| - | | $42$ | + | | $41$ |
| - | | $43$ | + | | $42$ |
| - | ^ $n$ ^ $a_n['' | + | | $43$ |
| - | | Störungen durch den Jupiter | + | ^ Störungen durch den Jupiter |
| - | | $44$ | + | ^ $n$ ^ $a_n['' |
| - | | $45$ | + | | $44$ |
| - | | $46$ | + | | $45$ |
| - | | $47$ | + | | $46$ |
| - | | $48$ | + | | $47$ |
| - | | $49$ | + | | $48$ |
| - | | $50$ | + | | $49$ |
| - | | $51$ | + | | $50$ |
| - | | $52$ | + | | $51$ |
| - | | $53$ | + | | $52$ |
| - | ^ $n$ ^ $a_n['' | + | | $53$ |
| - | | Störungen durch den Saturn | + | ^ Störungen durch den Saturn |
| - | | $54$ | + | ^ $n$ ^ $a_n['' |
| + | | $54$ | ||
| ===== Heliozentrische Koordinaten ===== | ===== Heliozentrische Koordinaten ===== | ||
| - | | $l_1 =$ | $M_1 + 77\overset{\circ}{.}449644 + (2\overset{'' | + | \[\begin{align} |
| - | | $b_1 =$ | $(- 2522\overset{'' | + | l_1 &= M_1 + 77\overset{\circ}{.}449644 + (2\overset{'' |
| - | | $r_1 =$ | $0.3952829\text{ AE} + 1.6 \cdot 10^{-6}\text{ AE} \cdot T + 10^{-6}\text{ AE dr}$ | | + | b_1 &= (- 2522\overset{'' |
| + | r_1 &= 0.3952829\text{ AE} + 1.6 \cdot 10^{-6}\text{ AE} \cdot T + 10^{-6}\text{ AE dr}$ | ||
| + | \end{align}\tag{3}\] | ||
tabellen/merkur_de200.1710093407.txt.gz · Zuletzt geändert: 2024/12/20 01:42 (Externe Bearbeitung)