tabellen:jupiter_de200
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tabellen:jupiter_de200 [2024/04/21 18:48] – [Tabelle] hcgreier | tabellen:jupiter_de200 [2024/12/20 01:57] (aktuell) – Externe Bearbeitung 127.0.0.1 | ||
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====== Jupiter ====== | ====== Jupiter ====== | ||
- | {{ : | + | {{ : |
===== mittlere Anomalien ===== | ===== mittlere Anomalien ===== | ||
+ | {{tablelayout? | ||
+ | ^ Tabelle 1 || | ||
| $M_5 =$ | $20\overset{\circ}{.}351304 + 2880\overset{\circ}{.}0 \cdot T + 154\overset{\circ}{.}906668 \cdot T$ | | | $M_5 =$ | $20\overset{\circ}{.}351304 + 2880\overset{\circ}{.}0 \cdot T + 154\overset{\circ}{.}906668 \cdot T$ | | ||
| $M_6 =$ | $317\overset{\circ}{.}875212 + 1080\overset{\circ}{.}0 \cdot T + 142\overset{\circ}{.}116768 \cdot T$ | | | $M_6 =$ | $317\overset{\circ}{.}875212 + 1080\overset{\circ}{.}0 \cdot T + 142\overset{\circ}{.}116768 \cdot T$ | | ||
| $M_7 =$ | $142\overset{\circ}{.}903332 + 360\overset{\circ}{.}0 \cdot T + 68\overset{\circ}{.}493096 \cdot T$ | | | $M_7 =$ | $142\overset{\circ}{.}903332 + 360\overset{\circ}{.}0 \cdot T + 68\overset{\circ}{.}493096 \cdot T$ | | ||
+ | |||
===== 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? |
- | ^ 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} |
- | | \[\begin{align} dl &= \sum_{n=8}^{50} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \\ db &= \sum_{n=8}^{50} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t)) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=8}^{50} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \end{align}\] | | + | 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)) \\ |
- | {{tablelayout? | + | 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) \\ |
- | ^ Störterme der Planeten | + | 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)) |
- | ^ n | + | \end{align}\tag{2}\] |
- | | Störungen durch den Saturn | + | |
- | | $08$ | $-0.2 $ | + | |
- | | $09$ | $9.4 | + | |
- | | $10$ | $5.6 | + | |
- | | $11$ | $-4.0 $ | + | |
- | | $12$ | $3.3 | + | |
- | | $13$ | $78.8 $ | + | |
- | | $14$ | $-2.0 $ | + | |
- | | $15$ | $-1.1 $ | + | |
- | | $16$ | $-7.5 $ | + | |
- | | $17$ | $0.7 | + | |
- | | $18$ | $51.5 $ | + | |
- | | $19$ | $-1.2 $ | + | |
- | | $20$ | $5.3 | + | |
- | | $21$ | $-76.4 $ | + | |
- | | $22$ | $66.7 $ | + | |
- | | $23$ | $0.6 | + | |
- | | $24$ | $17.0 $ | + | |
- | | $25$ | $1066.2$ | + | |
- | | $26$ | $-25.4 $ | + | |
- | | $27$ | $-0.7 $ | + | |
- | | $28$ | $-5.0 $ | + | |
- | | $29$ | $16.9 $ | + | |
- | | $30$ | $7.2 | + | |
- | | $31$ | $68.5 $ | + | |
- | | $32$ | $3.5 | + | |
- | | $33$ | $0.6 | + | |
- | | $34$ | $-1.1 $ | + | |
- | | $35$ | $-0.3 $ | + | |
- | | $36$ | $1.1 | + | |
- | | $37$ | $3.2 | + | |
- | | $38$ | $6.7 | + | |
- | | $39$ | $1.5 | + | |
- | | $40$ | $-1.9 $ | + | |
- | | $41$ | $0.4 | + | |
- | | $42$ | $-0.2 $ | + | |
- | | $43$ | $-8.6 $ | + | |
- | | $44$ | $-0.5 $ | + | |
- | | $45$ | $-0.1 $ | + | |
- | | $46$ | $0.1 | + | |
- | | $47$ | $-0.5 $ | + | |
- | | $48$ | $2.5 | + | |
- | ^ n | + | |
- | | Störungen durch den Uranus | + | |
- | | $49$ | $0.4 | + | |
- | | $50$ | $0.4 | + | |
- | {{tablelayout? | + | {{tablelayout? |
- | | \[\begin{align} dl &= \sum_{n=51}^{52} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ db &= \sum_{n=51}^{52} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=51}^{52} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \end{align}\] | + | ^ |
- | {{tablelayout? | + | ^ |
- | | Störungen durch den Saturn | + | ^ n ^ $a_n['' |
- | ^ n | + | | $08$ | $-0.2 $ |
- | | $51$ | $-0.8 $ | + | | $09$ | $9.4 |
- | | $52$ | $0.4 | + | | $10$ | $5.6 |
+ | | $11$ | $-4.0 $ | ||
+ | | $12$ | $3.3 | ||
+ | | $13$ | $78.8 $ | ||
+ | | $14$ | $-2.0 $ | ||
+ | | $15$ | $-1.1 $ | ||
+ | | $16$ | $-7.5 $ | ||
+ | | $17$ | $0.7 | ||
+ | | $18$ | ||
+ | | $19$ | $-1.2 $ | ||
+ | | $20$ | $5.3 | ||
+ | | $21$ | $-76.4 $ | ||
+ | | $22$ | $66.7 $ | ||
+ | | $23$ | $0.6 | ||
+ | | $24$ | $17.0 $ | ||
+ | | $25$ | $1066.2$ | ||
+ | | $26$ | $-25.4 $ | ||
+ | | $27$ | $-0.7 $ | ||
+ | | $28$ | $-5.0 $ | ||
+ | | $29$ | $16.9 $ | $-6.4 | ||
+ | | $30$ | ||
+ | | $31$ | $68.5 $ | ||
+ | | $32$ | $3.5 | ||
+ | | $33$ | $0.6 | ||
+ | | $34$ | $-1.1 $ | ||
+ | | $35$ | $-0.3 $ | ||
+ | | $36$ | $1.1 | ||
+ | | $37$ | $3.2 | ||
+ | | $38$ | $6.7 | ||
+ | | $39$ | $1.5 | ||
+ | | $40$ | $-1.9 $ | ||
+ | | $41$ | $0.4 | ||
+ | | $42$ | $-0.2 $ | ||
+ | | $43$ | $-8.6 $ | ||
+ | | $44$ | $-0.5 $ | ||
+ | | $45$ | $-0.1 $ | ||
+ | | $46$ | $0.1 | ||
+ | | $47$ | $-0.5 $ | ||
+ | | $48$ | $2.5 | ||
+ | ^ Störungen durch den Uranus | ||
+ | ^ n ^ $a_n['' | ||
+ | | $49$ | $0.4 | ||
+ | | $50$ | $0.4 | ||
- | ===== Heliozentrische Koordinaten ===== | + | \[\begin{align} |
+ | dl &= \sum_{n=51}^{52} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ | ||
+ | db &= \sum_{n=51}^{52} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ | ||
+ | dr &= \sum_{n=51}^{52} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) | ||
+ | \end{align}\tag{3}\] | ||
- | | $l_5 =$ | $M_5 + 14\overset{\circ}{.}00076 + (5025\overset{'' | + | {{tablelayout? |
- | | $b_5 =$ | $(+ 227\overset{'' | + | ^ Tabelle 4: Störungen durch den Saturn und den Uranus |
- | | $r_5 =$ | $5.208873\text{ AE} + 4.1 \cdot 10^{-5}\text{ AE} \cdot T + 10^{-5}\text{ AE dr}$ | | + | ^ n ^ |
+ | | $51$ | ||
+ | | $52$ | ||
+ | |||
+ | ===== Heliozentrische Koordinaten ===== | ||
+ | \[\begin{align} | ||
+ | l_5 &= M_5 + 14\overset{\circ}{.}00076 + (5025\overset{'' | ||
+ | b_5 &= (+ 227\overset{'' | ||
+ | r_5 &= 5.208873\text{ AE} + 4.1 \cdot 10^{-5}\text{ AE} \cdot T + 10^{-5}\text{ AE dr} | ||
+ | \end{align}\tag{4}\] |
tabellen/jupiter_de200.1713718137.txt.gz · Zuletzt geändert: 2024/12/20 01:42 (Externe Bearbeitung)