tabellen:jupiter_de200
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+ | |[[tabellen: | ||
+ | ====== Jupiter ====== | ||
+ | |||
+ | {{ : | ||
+ | |||
+ | ===== mittlere Anomalien ===== | ||
+ | |||
+ | {{tablelayout? | ||
+ | ^ Tabelle 1 || | ||
+ | | M5= | 20∘.351304+2880∘.0⋅T+154∘.906668⋅T | | ||
+ | | M6= | 317∘.875212+1080∘.0⋅T+142∘.116768⋅T | | ||
+ | | M7= | 142∘.903332+360∘.0⋅T+68∘.493096⋅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 ^ an[″] | ||
+ | | 01 | −113.1 | ||
+ | | 02 | −76.1 | 66.9 | ||
+ | | 03 | −0.5 | −0.3 | ||
+ | | 04 | −3.4 | 632.0 | −226.8 | 12.7 | −610.6 | −6.5 | 2 | 0 | 0 | | ||
+ | | 05 | −4.2 | 3.8 | 0.2 | 0.6 | −4.1 | −4.5 | 2 | 0 | 1 | | ||
+ | | 06 | −0.1 | 28.0 | ||
+ | | 07 | 0.0 | ||
+ | |||
+ | \[\begin{align} | ||
+ | dl &= \sum_{n=8}^{50} T^{t_n} (a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) \\ | ||
+ | db &= \sum_{n=8}^{50} T^{t_n} (c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t)) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ | ||
+ | dr &= \sum_{n=8}^{50} T^{t_n} (e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t)) | ||
+ | \end{align}\tag{2}\] | ||
+ | |||
+ | {{tablelayout? | ||
+ | ^ Tabelle 3: Störterme der Planeten | ||
+ | ^ Störungen durch den Saturn | ||
+ | ^ n ^ an[″] | ||
+ | | 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 | ||
+ | ^ Störungen durch den Uranus | ||
+ | ^ n ^ an[″] | ||
+ | | 49 | 0.4 | ||
+ | | 50 | 0.4 | ||
+ | |||
+ | \[\begin{align} | ||
+ | dl &= \sum_{n=51}^{52} a_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ | ||
+ | db &= \sum_{n=51}^{52} c_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) \\ | ||
+ | dr &= \sum_{n=51}^{52} e_n \cos(p_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(p_n \ M_p + s_n \ M_s + t_n \ M_t) | ||
+ | \end{align}\tag{3}\] | ||
+ | |||
+ | {{tablelayout? | ||
+ | ^ Tabelle 4: Störungen durch den Saturn und den Uranus | ||
+ | ^ n ^ an[″] | ||
+ | | 51 | ||
+ | | 52 | ||
+ | |||
+ | ===== Heliozentrische Koordinaten ===== | ||
+ | |||
+ | \[\begin{align} | ||
+ | l_5 &= M_5 + 14\overset{\circ}{.}00076 + (5025\overset{'' | ||
+ | b_5 &= (+ 227\overset{'' | ||
+ | r_5 &= 5.208873\text{ AE} + 4.1 \cdot 10^{-5}\text{ AE} \cdot T + 10^{-5}\text{ AE dr} | ||
+ | \end{align}\tag{4}\] |