tabellen:neptun_de200
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| tabellen:neptun_de200 [2024/03/10 18:55] – gelöscht - Externe Bearbeitung (Unknown date) 127.0.0.1 | tabellen:neptun_de200 [2024/12/20 01:57] (aktuell) – Externe Bearbeitung 127.0.0.1 | ||
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| + | |[[tabellen: | ||
| + | ====== Neptun ====== | ||
| + | |||
| + | {{ : | ||
| + | |||
| + | ===== mittlere Anomalien ===== | ||
| + | |||
| + | {{tablelayout? | ||
| + | ^ Tabelle 1 || | ||
| + | | $M_5 =$ | $20\overset{\circ}{.}299212 + 2880\overset{\circ}{.}0 \cdot T + 154\overset{\circ}{.}760652 \cdot T$ | | ||
| + | | $M_6 =$ | $317\overset{\circ}{.}703096 + 1080\overset{\circ}{.}0 \cdot T + 142\overset{\circ}{.}478928 \cdot T$ | | ||
| + | | $M_7 =$ | $142\overset{\circ}{.}752888 + 360\overset{\circ}{.}0 \cdot T + 68\overset{\circ}{.}502636 \cdot T$ | | ||
| + | | $M_8 =$ | $259\overset{\circ}{.}736616 + 0\overset{\circ}{.}0 \cdot T + 218\overset{\circ}{.}466936 \cdot T$ | | ||
| + | |||
| + | ===== Tabellen ===== | ||
| + | |||
| + | \[\begin{align} | ||
| + | dl &= \sum_{n=1}^{7} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s) + b_n \sin(p_n \ M_p + s_n \ M_s)) \\ | ||
| + | db &= \sum_{n=1}^{7} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s) + d_n \sin(p_n \ M_p + s_n \ M_s)) \\ | ||
| + | dr &= \sum_{n=1}^{7} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s) + f_n \sin(p_n \ M_p + s_n \ M_s)) | ||
| + | \end{align}\tag{1}\] | ||
| + | |||
| + | {{tablelayout? | ||
| + | ^ Tabelle 2: Keplerterme | ||
| + | ^ n ^ $a_n['' | ||
| + | | $01$ | ||
| + | | $02$ | ||
| + | | $03$ | ||
| + | | $04$ | ||
| + | | $05$ | ||
| + | | $06$ | ||
| + | | $07$ | ||
| + | |||
| + | \[\begin{align} | ||
| + | dl &= \sum_{n=8}^{35} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \\ | ||
| + | db &= \sum_{n=8}^{35} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \\ | ||
| + | dr &= \sum_{n=8}^{35} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) | ||
| + | \end{align}\tag{2}\] | ||
| + | |||
| + | {{tablelayout? | ||
| + | ^ Tabelle 3: Störterme der Planeten | ||
| + | ^ Störungen durch den Jupiter | ||
| + | ^ n ^ $a_n['' | ||
| + | | $08$ | ||
| + | | $09$ | ||
| + | | $10$ | ||
| + | | $11$ | ||
| + | | $12$ | ||
| + | ^ Störungen durch den Saturn | ||
| + | ^ n ^ $a_n['' | ||
| + | | $13$ | ||
| + | | $14$ | ||
| + | | $15$ | ||
| + | | $16$ | ||
| + | | $17$ | ||
| + | | $18$ | ||
| + | ^ Störungen durch den Uranus | ||
| + | ^ n ^ $a_n['' | ||
| + | | $19$ | $-0.1 $ | $-0.3 $ | $0.0 $ | $0.0 $ | $-3.6 $ | $0.0 | ||
| + | | $20$ | $-2.2 $ | $-1.6 $ | $0.0 $ | $-0.1 $ | $-116.3 | ||
| + | | $21$ | $0.2 $ | $0.1 | ||
| + | | $22$ | $4.2 $ | $-1.1 $ | $-0.2 | ||
| + | | $23$ | $8.6 $ | $-2.9 $ | $0.2 $ | $0.1 $ | $-33.4 | ||
| + | | $24$ | $0.1 $ | $-0.2 $ | $0.0 $ | $0.1 $ | $2.1 | ||
| + | | $25$ | $-4.6 $ | $9.3 | ||
| + | | $26$ | $-0.5 $ | $1.7 | ||
| + | | $27$ | $0.2 $ | $0.8 | ||
| + | | $28$ | $0.9 $ | $1.7 | ||
| + | | $29$ | $-0.4 $ | $-0.4 $ | $0.0 $ | $0.0 $ | $-6.2 $ | $4.8 | ||
| + | | $30$ | $-1.6 $ | $-0.5 $ | $0.0 $ | $0.0 $ | $-2.2 $ | $7.0 | ||
| + | | $31$ | $-0.4 $ | $-0.1 $ | $0.0 $ | $0.0 $ | $-0.7 $ | $5.5 | ||
| + | | $32$ | $0.2 $ | $0.0 | ||
| + | | $33$ | $-0.3 $ | $0.2 | ||
| + | | $34$ | $0.1 $ | $-0.1 $ | $0.0 $ | $0.0 $ | $-1.4 $ | $-1.4 $ | $6$ | $-5$ | ||
| + | | $35$ | $-0.1 $ | $0.1 | ||
| + | |||
| + | ===== Heliozentrische Koordinaten ===== | ||
| + | |||
| + | \[\begin{align} | ||
| + | l_8 &= M_8 + 45\overset{\circ}{.}145656 + (4982\overset{'' | ||
| + | b_8 &= (+ 54\overset{'' | ||
| + | r_8 &= 30.072984\text{ AE} + 1.234 \cdot 10^{-3}\text{ AE} \cdot T + 3.0 \cdot 10^{-6}\text{ AE} \cdot T^2 + 1.0 \cdot 10^{-5}\text{ AE dr} | ||
| + | \end{align}\tag{3}\] | ||