tabellen:erde_de200
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====== Erde-Mond Baryzentrum EMB ====== | ====== Erde-Mond Baryzentrum EMB ====== | ||
- | {{ : | + | {{ : |
===== mittlere Anomalien ===== | ===== mittlere Anomalien ===== | ||
- | | $M_2 =$ | $49\overset{\circ}{.}9430160522 | + | {{tablelayout? |
- | | $M_3 =$ | $357\overset{\circ}{.}5255737305 | + | ^ Tabelle 1 || |
- | | $M_4 =$ | $19\overset{\circ}{.}5569992065 | + | | $M_2 =$ | $49\overset{\circ}{.}943016 |
- | | $M_5 =$ | $19\overset{\circ}{.}8629989624 | + | | $M_3 =$ | $357\overset{\circ}{.}525576 |
- | | $M_6 =$ | $317\overset{\circ}{.}3939819336 | + | | $M_4 =$ | $19\overset{\circ}{.}557000 |
+ | | $M_5 =$ | $19\overset{\circ}{.}863000 | ||
+ | | $M_6 =$ | $317\overset{\circ}{.}394000 | ||
===== Erde Mond Baryzentrum ===== | ===== Erde Mond Baryzentrum ===== | ||
- | Es folgt die Berechnung des EMB | + | Es folgt die Berechnung des EMB: |
- | | $\delta l =$ | $+ 6\overset{'' | + | \[\begin{align} |
- | | | $+ 0\overset{'' | + | \delta l &= + 6\overset{'' |
- | | $\delta b =$ | $+ 0\overset{'' | + | &+ 0\overset{'' |
- | | $\delta r =$ | $+ 30.76\text{ AE } \cos(D) - 3.06\text{ AE } \cos(D - A) + 0.85\text{ AE } \cos(D + A)$ | | + | \delta b &= + 0\overset{'' |
- | | | $+ 0.57\text{ AE } \cos(D - M_3) - 0.58\text{ AE } \cos(D + M_3)$ | | + | \delta r &= + 30.76\text{ AE } \cos(D) - 3.06\text{ AE } \cos(D - A) + 0.85\text{ AE } \cos(D + A) \\ |
+ | &+ 0.57\text{ AE } \cos(D - M_3) - 0.58\text{ AE } \cos(D + M_3) | ||
+ | \end{align}\tag{1}\] | ||
- | mit den Hilfswerten A. D und U: | + | mit den Hilfswerten |
- | | $A =$ | $134\overset{\circ}{.}964 + 477198\overset{\circ}{.}864\cdot T$ | | + | \[\begin{align} |
- | | $D =$ | $297\overset{\circ}{.}864 + 445267\overset{\circ}{.}116\cdot T$ | | + | A &= 134\overset{\circ}{.}964 + 477198\overset{\circ}{.}864\cdot T \\ |
- | | $U =$ | $93\overset{\circ}{.}276 + 483202\overset{\circ}{.}008\cdot T$ | | + | D &= 297\overset{\circ}{.}864 + 445267\overset{\circ}{.}116\cdot T \\ |
+ | U &= 93\overset{\circ}{.}276 + 483202\overset{\circ}{.}008\cdot T | ||
+ | \end{align}\tag{2}\] | ||
===== Tabellen ===== | ===== Tabellen ===== | ||
- | {{tablelayout? | + | \[\begin{align} |
- | | \[\begin{align} dl &= \sum_{n=1}^{6} T^{t_n} (a_n \cos(q_n \ M_p + s_n \ M_s) + b_n \sin(q_n \ M_p + s_n \ M_s)) \\ db &= \sum_{n=1}^{6} T^{t_n} (c_n \cos(q_n \ M_p + s_n \ M_s) + d_n \sin(q_n \ M_p + s_n \ M_s)) \\ dr &= \sum_{n=1}^{6} T^{t_n} (e_n \cos(q_n \ M_p + s_n \ M_s) + f_n \sin(q_n \ M_p + s_n \ M_s)) \end{align}\] | + | dl &= \sum_{n=1}^{6} 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}^{6} 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}^{6} 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{3}\] | ||
- | {{tablelayout? | + | {{tablelayout? |
- | ^ Keplerterme | + | ^ |
- | ^ n ^ $a_n['' | + | ^ n ^ $a_n['' |
- | | $01$ | + | | $01$ |
- | | $02$ | + | | $02$ |
- | | $03$ | + | | $03$ |
- | | $04$ | + | | $04$ |
- | | $05$ | + | | $05$ |
- | | $06$ | + | | $06$ |
- | {{tablelayout? | + | \[\begin{align} |
- | | \[\begin{align} dl &= \sum_{n=7}^{52} a_n \cos(q_n \ M_p + s_n \ M_s + t_n \ M_t) + b_n \sin(q_n \ M_p + s_n \ M_s + t_n \ M_t) \\ db &= \sum_{n=7}^{52} c_n \cos(q_n \ M_p + s_n \ M_s + t_n \ M_t) + d_n \sin(q_n \ M_p + s_n \ M_s + t_n \ M_t) \\ dr &= \sum_{n=7}^{52} e_n \cos(q_n \ M_p + s_n \ M_s + t_n \ M_t) + f_n \sin(q_n \ M_p + s_n \ M_s + t_n \ M_t) \end{align}\] | + | dl &= \sum_{n=7}^{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=7}^{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=7}^{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{4}\] | ||
- | + | {{tablelayout? | |
- | ^ Störterme der Planeten | + | ^ |
- | ^ n ^ $a_n['' | + | ^ Störungen durch die Venus |
- | | Störungen durch die Venus |||||||||| | + | ^ n ^ $a_n['' |
- | | $07$ | + | | $07$ |
- | | $08$ | + | | $08$ |
- | | $09$ | + | | $09$ |
- | | $10$ | + | | $10$ |
- | | $11$ | + | | $11$ |
- | | $12$ | + | | $12$ |
- | | $13$ | + | | $13$ |
- | | $14$ | + | | $14$ |
- | | $15$ | + | | $15$ |
- | | $16$ | + | | $16$ |
- | | $17$ | + | | $17$ |
- | | $18$ | + | | $18$ |
- | | $19$ | + | | $19$ |
- | | $20$ | + | | $20$ |
- | | $21$ | + | | $21$ |
- | | $22$ | + | | $22$ |
- | | $23$ | + | | $23$ |
- | ^ n ^ $a_n['' | + | ^ Störungen durch den Mars |||||||||| |
- | | Störungen durch den Mars | + | ^ n ^ $a_n['' |
- | | $24$ | + | | $24$ |
- | | $25$ | + | | $25$ |
- | | $26$ | + | | $26$ |
- | | $27$ | + | | $27$ |
- | | $28$ | + | | $28$ |
- | | $29$ | + | | $29$ |
- | | $30$ | + | | $30$ |
- | | $31$ | + | | $31$ |
- | | $32$ | + | | $32$ |
- | | $33$ | + | | $33$ |
- | | $34$ | + | | $34$ |
- | | $35$ | + | | $35$ |
- | | $36$ | + | | $36$ |
- | ^ n ^ $a_n['' | + | ^ Störungen durch den Jupiter |
- | | Störungen durch den Jupiter | + | ^ n |
- | | $37$ | + | | $37$ |
- | | $38$ | + | | $38$ |
- | | $39$ | + | | $39$ |
- | | $40$ | + | | $40$ |
- | | $41$ | + | | $41$ |
- | | $42$ | + | | $42$ |
- | | $43$ | + | | $43$ |
- | | $44$ | + | | $44$ |
- | | $45$ | + | | $45$ |
- | | $46$ | + | | $46$ |
- | | $47$ | + | | $47$ |
- | | $48$ | + | | $48$ |
- | ^ n ^ $a_n['' | + | ^ Störungen durch den Saturn |
- | | Störungen durch den Saturn | + | ^ n |
- | | $49$ | + | | $49$ |
- | | $50$ | + | | $50$ |
- | | $51$ | + | | $51$ |
- | | $52$ | + | | $52$ |
===== Heliozentrische Koordinaten ===== | ===== Heliozentrische Koordinaten ===== | ||
- | | $\Delta l =$ | $+ 6\overset{'' | + | \[\begin{align} |
- | | | $+ 0\overset{'' | + | \Delta l &= + 6\overset{'' |
- | | $l_3 =$ | $M_3 + 282\overset{\circ}{.}940308 + (6191\overset{'' | + | & + 0\overset{'' |
- | | $b_3 =$ | $(\text{db} + \delta b)/ | + | l_3 &= M_3 + 102\overset{\circ}{.}940308 + (6191\overset{'' |
- | | $r_3 =$ | $1.0001398\text{ AE} - 7.0 \cdot 10^{-7}\text{ AE} \cdot T + 10^{-6}\text{ AE }(\text{dr} + \delta r)$ | | + | b_3 &= - (\text{db} + \delta b)/ |
+ | r_3 &= 1.0001398\text{ AE} - 7.0 \cdot 10^{-7}\text{ AE} \cdot T + 10^{-6}\text{ AE }(\text{dr} + \delta r) | ||
+ | \end{align}\tag{5}\] |
tabellen/erde_de200.1710093326.txt.gz · Zuletzt geändert: 2024/12/20 01:42 (Externe Bearbeitung)