tabellen:jupiter_de200
Unterschiede
Hier werden die Unterschiede zwischen zwei Versionen der Seite angezeigt.
Beide Seiten, vorherige ÜberarbeitungVorherige ÜberarbeitungNächste Überarbeitung | Vorherige Überarbeitung | ||
tabellen:jupiter_de200 [2024/05/08 18:54] – quern | tabellen:jupiter_de200 [2024/12/20 01:57] (aktuell) – Externe Bearbeitung 127.0.0.1 | ||
---|---|---|---|
Zeile 3: | Zeile 3: | ||
====== Jupiter ====== | ====== Jupiter ====== | ||
- | {{ : | + | {{ : |
===== mittlere Anomalien ===== | ===== mittlere Anomalien ===== | ||
{{tablelayout? | {{tablelayout? | ||
+ | ^ Tabelle 1 || | ||
| $M_5 =$ | $20\overset{\circ}{.}351304 + 2880\overset{\circ}{.}0 \cdot T + 154\overset{\circ}{.}906668 \cdot T$ | | | $M_5 =$ | $20\overset{\circ}{.}351304 + 2880\overset{\circ}{.}0 \cdot T + 154\overset{\circ}{.}906668 \cdot T$ | | ||
| $M_6 =$ | $317\overset{\circ}{.}875212 + 1080\overset{\circ}{.}0 \cdot T + 142\overset{\circ}{.}116768 \cdot T$ | | | $M_6 =$ | $317\overset{\circ}{.}875212 + 1080\overset{\circ}{.}0 \cdot T + 142\overset{\circ}{.}116768 \cdot T$ | | ||
Zeile 14: | Zeile 15: | ||
===== Tabellen ===== | ===== Tabellen ===== | ||
- | {{tablelayout? | + | \[\begin{align} |
- | | \[\begin{align} dl &= \sum_{n=1}^{7} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s) + b_n \sin(p_n \ M_p + s_n \ M_s)) \\ db &= \sum_{n=1}^{7} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s) + d_n \sin(p_n \ M_p + s_n \ M_s)) \\ dr &= \sum_{n=1}^{7} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s) + f_n \sin(p_n \ M_p + s_n \ M_s)) \end{align}\] | + | dl &= \sum_{n=1}^{7} 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}^{7} 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}^{7} 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? | ||
- | ^ Tabelle | + | ^ Tabelle |
^ n ^ $a_n['' | ^ n ^ $a_n['' | ||
| $01$ | $-113.1$ | | $01$ | $-113.1$ | ||
Zeile 28: | Zeile 32: | ||
| $07$ | $0.0 | | $07$ | $0.0 | ||
- | {{tablelayout? | + | \[\begin{align} |
- | | \[\begin{align} dl &= \sum_{n=8}^{50} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \\ db &= \sum_{n=8}^{50} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t)) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=8}^{50} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \end{align}\] | + | dl &= \sum_{n=8}^{50} T^{t_n} (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=8}^{50} T^{t_n} (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=8}^{50} T^{t_n} (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? | ||
- | ^ Tabelle | + | ^ Tabelle |
^ Störungen durch den Saturn | ^ Störungen durch den Saturn | ||
^ n ^ $a_n['' | ^ n ^ $a_n['' | ||
Zeile 81: | Zeile 88: | ||
| $50$ | $0.4 | | $50$ | $0.4 | ||
- | {{tablelayout? | + | \[\begin{align} |
- | | \[\begin{align} dl &= \sum_{n=51}^{52} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ db &= \sum_{n=51}^{52} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=51}^{52} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \end{align}\] | + | dl &= \sum_{n=51}^{52} 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=51}^{52} 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=51}^{52} 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{3}\] | ||
{{tablelayout? | {{tablelayout? | ||
- | | | + | ^ |
^ n ^ $a_n['' | ^ n ^ $a_n['' | ||
| $51$ | | $51$ | ||
Zeile 92: | Zeile 102: | ||
===== Heliozentrische Koordinaten ===== | ===== Heliozentrische Koordinaten ===== | ||
- | | $l_5 =$ | $M_5 + 14\overset{\circ}{.}00076 + (5025\overset{'' | + | \[\begin{align} |
- | | $b_5 =$ | $(+ 227\overset{'' | + | l_5 &= M_5 + 14\overset{\circ}{.}00076 + (5025\overset{'' |
- | | $r_5 =$ | $5.208873\text{ AE} + 4.1 \cdot 10^{-5}\text{ AE} \cdot T + 10^{-5}\text{ AE dr}$ | | + | b_5 &= (+ 227\overset{'' |
+ | r_5 &= 5.208873\text{ AE} + 4.1 \cdot 10^{-5}\text{ AE} \cdot T + 10^{-5}\text{ AE dr} | ||
+ | \end{align}\tag{4}\] |
tabellen/jupiter_de200.1715187299.txt.gz · Zuletzt geändert: 2024/12/20 01:42 (Externe Bearbeitung)