tabellen:jupiter_de200
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====== Jupiter ====== | ====== Jupiter ====== | ||
- | {{ : | + | {{ : |
===== mittlere Anomalien ===== | ===== mittlere Anomalien ===== | ||
- | | $M_5 =$ | $20\overset{\circ}{.}3513031006 | + | {{tablelayout? |
- | | $M_6 =$ | $317\overset{\circ}{.}8752136230 | + | ^ Tabelle 1 || |
- | | $M_7 =$ | $142\overset{\circ}{.}9033355713 | + | | $M_5 =$ | $20\overset{\circ}{.}351304 |
+ | | $M_6 =$ | $317\overset{\circ}{.}875212 | ||
+ | | $M_7 =$ | $142\overset{\circ}{.}903332 | ||
===== Tabellen ===== | ===== Tabellen ===== | ||
- | {{tablelayout? | + | \[\begin{align} |
- | | \[\begin{align} dl &= \sum_{n=1}^{7} T^{t_n} (a_n \cos(q_n \ M_p + s_n \ M_s) + b_n \sin(q_n \ M_p + s_n \ M_s)) \\ db &= \sum_{n=1}^{7} T^{t_n} (c_n \cos(q_n \ M_p + s_n \ M_s) + d_n \sin(q_n \ M_p + s_n \ M_s)) \\ dr &= \sum_{n=1}^{7} T^{t_n} (e_n \cos(q_n \ M_p + s_n \ M_s) + f_n \sin(q_n \ M_p + s_n \ M_s)) \end{align}\] | + | dl &= \sum_{n=1}^{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? |
- | ^ Keplerterme | + | ^ |
- | ^ n ^ $a_n['' | + | ^ n ^ $a_n['' |
- | | $01$ | + | | $01$ | $-113.1$ |
- | | $02$ | + | | $02$ | $-76.1 $ | $66.9 |
- | | $03$ | + | | $03$ | $-0.5 $ | $-0.3 |
- | | $04$ | + | | $04$ | $-3.4 $ | $632.0 |
- | | $05$ | + | | $05$ | $-4.2 $ | $3.8 $ | $0.2 $ | $0.6 $ | $-4.1 $ | $-4.5 $ | $2$ | $0$ | $1$ | |
- | | $06$ | + | | $06$ | $-0.1 $ | $28.0 |
- | | $07$ | + | | $07$ | $0.0 |
- | {{tablelayout? | + | \[\begin{align} |
- | | \[\begin{align} dl &= \sum_{n=9}^{50} T^{t_n} (a_n \cos(q_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(q_n \ M_p + s_n \ M_s + t_n \ M_t)) \\ db &= \sum_{n=9}^{50} T^{t_n} (c_n \cos(q_n \ M_p + s_n \ M_s + t_n \ M_t)) + d_n \sin(q_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=9}^{50} T^{t_n} (e_n \cos(q_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(q_n \ M_p + s_n \ M_s + t_n \ M_t)) \end{align}\] | + | dl &= \sum_{n=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}\] | ||
- | ^ Störterme der Planeten | + | {{tablelayout? |
- | ^ n ^ $a_n['' | + | ^ |
- | | Störungen durch den Saturn | + | ^ Störungen durch den Saturn |
- | | $08$ | + | ^ n ^ $a_n['' |
- | | $09$ | + | | $08$ | $-0.2 $ |
- | | $10$ | + | | $09$ | $9.4 |
- | | $11$ | + | | $10$ | $5.6 |
- | | $12$ | + | | $11$ | $-4.0 $ |
- | | $13$ | + | | $12$ | $3.3 |
- | | $14$ | + | | $13$ | $78.8 $ |
- | | $15$ | + | | $14$ | $-2.0 $ |
- | | $16$ | + | | $15$ | $-1.1 $ |
- | | $17$ | + | | $16$ | $-7.5 $ |
- | | $18$ | + | | $17$ | $0.7 |
- | | $19$ | + | | $18$ | $51.5 $ |
- | | $20$ | + | | $19$ | $-1.2 $ |
- | | $21$ | + | | $20$ | $5.3 |
- | | $22$ | + | | $21$ | $-76.4 $ |
- | | $23$ | + | | $22$ | $66.7 $ |
- | | $24$ | + | | $23$ | $0.6 |
- | | $25$ | + | | $24$ | $17.0 $ |
- | | $26$ | + | | $25$ | $1066.2$ |
- | | $27$ | + | | $26$ | $-25.4 $ |
- | | $28$ | + | | $27$ | $-0.7 $ |
- | | $29$ | + | | $28$ | $-5.0 $ |
- | | $30$ | + | | $29$ | $16.9 $ |
- | | $31$ | + | | $30$ | $7.2 |
- | | $32$ | + | | $31$ | $68.5 $ |
- | | $33$ | + | | $32$ | $3.5 |
- | | $34$ | + | | $33$ | $0.6 |
- | | $35$ | + | | $34$ | $-1.1 $ |
- | | $36$ | + | | $35$ | $-0.3 $ |
- | | $37$ | + | | $36$ | $1.1 |
- | | $38$ | + | | $37$ | $3.2 |
- | | $39$ | + | | $38$ | $6.7 |
- | | $40$ | + | | $39$ | $1.5 |
- | | $41$ | + | | $40$ | $-1.9 $ |
- | | $42$ | + | | $41$ | $0.4 |
- | | $43$ | + | | $42$ | $-0.2 $ |
- | | $44$ | + | | $43$ | $-8.6 $ |
- | | $45$ | + | | $44$ | $-0.5 $ |
- | | $46$ | + | | $45$ | $-0.1 $ |
- | | $47$ | + | | $46$ | $0.1 |
- | | $48$ | + | | $47$ | $-0.5 $ |
- | ^ n ^ $a_n['' | + | | $48$ | $2.5 |
- | | Störungen durch den Uranus | + | ^ Störungen durch den Uranus |
- | | $49$ | + | ^ n ^ $a_n['' |
- | | $50$ | + | | $49$ | $0.4 |
+ | | $50$ | $0.4 | ||
- | {{tablelayout? | + | \[\begin{align} |
- | | \[\begin{align} dl &= \sum_{n=51}^{52} a_n \cos(q_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(q_n \ M_p + s_n \ M_s + t_n \ M_t) \\ db &= \sum_{n=51}^{52} c_n \cos(q_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(q_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=51}^{52} e_n \cos(q_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(q_n \ M_p + s_n \ M_s + t_n \ M_t) \end{align}\] | + | dl &= \sum_{n=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}\] | ||
- | | Störungen durch den Saturn und Uranus | + | {{tablelayout? |
- | ^ n ^ $a_n['' | + | ^ Tabelle 4: Störungen durch den Saturn und den Uranus |
- | | $51$ | + | ^ n ^ $a_n['' |
- | | $52$ | + | | $51$ |
+ | | $52$ | ||
===== 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_de200.1710093325.txt.gz · Zuletzt geändert: 2024/12/20 01:42 (Externe Bearbeitung)