tabellen:merkur_de200
Unterschiede
Hier werden die Unterschiede zwischen zwei Versionen der Seite angezeigt.
Beide Seiten, vorherige ÜberarbeitungVorherige ÜberarbeitungNächste Überarbeitung | Vorherige Überarbeitung | ||
tabellen:merkur_de200 [2024/05/08 16:48] – alte Version wiederhergestellt (2024/04/21 17:49) quern | tabellen:merkur_de200 [2024/12/20 01:57] (aktuell) – Externe Bearbeitung 127.0.0.1 | ||
---|---|---|---|
Zeile 3: | Zeile 3: | ||
====== Merkur ====== | ====== Merkur ====== | ||
- | {{ : | + | {{ : |
===== mittlere Anomalien ===== | ===== mittlere Anomalien ===== | ||
+ | {{tablelayout? | ||
+ | ^ Tabelle 1 || | ||
| $M_1 =$ | $174\overset{\circ}{.}794652 + 149400\overset{\circ}{.}0 \cdot T + 72\overset{\circ}{.}515304 \cdot T$ | | | $M_1 =$ | $174\overset{\circ}{.}794652 + 149400\overset{\circ}{.}0 \cdot T + 72\overset{\circ}{.}515304 \cdot T$ | | ||
| $M_2 =$ | $50\overset{\circ}{.}191992 + 58320\overset{\circ}{.}0 \cdot T + 197\overset{\circ}{.}655984 \cdot T$ | | | $M_2 =$ | $50\overset{\circ}{.}191992 + 58320\overset{\circ}{.}0 \cdot T + 197\overset{\circ}{.}655984 \cdot T$ | | ||
Zeile 12: | Zeile 14: | ||
| $M_5 =$ | $20\overset{\circ}{.}103012 + 2880\overset{\circ}{.}0 \cdot T + 154\overset{\circ}{.}743012 \cdot T$ | | | $M_5 =$ | $20\overset{\circ}{.}103012 + 2880\overset{\circ}{.}0 \cdot T + 154\overset{\circ}{.}743012 \cdot T$ | | ||
| $M_6 =$ | $317\overset{\circ}{.}639988 + 1080\overset{\circ}{.}0 \cdot T + 141\overset{\circ}{.}959988 \cdot T$ | | | $M_6 =$ | $317\overset{\circ}{.}639988 + 1080\overset{\circ}{.}0 \cdot T + 141\overset{\circ}{.}959988 \cdot T$ | | ||
+ | |||
===== Tabellen ===== | ===== Tabellen ===== | ||
- | {{tablelayout? | + | \[\begin{align} |
- | | \[\begin{align} dl &= \sum_{n=1}^{17} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s) + b_n \sin(p_n \ M_p + s_n \ M_s)) \\ db &= \sum_{n=1}^{17} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s) + d_n \sin(p_n \ M_p + s_n \ M_s)) \\ dr &= \sum_{n=1}^{17} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s) + f_n \sin(p_n \ M_p + s_n \ M_s)) \end{align}\] | + | 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} |
- | | \[\begin{align} dl &= \sum_{n=18}^{54} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ db &= \sum_{n=18}^{54} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=18}^{54} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \end{align}\] | + | 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_de200.1715179693.txt.gz · Zuletzt geändert: 2024/12/20 01:42 (Externe Bearbeitung)