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Calculate the Earth heliocentric longitude, latitude, and radius vector (L, B, and R)
Calculate Earth heliocentric longitude (L):
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L0_i = A_i * cos (B_i + C_i * JME) |
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L0 = \sum_{i=0}^{n} L0_i |
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L1_i = A_i * cos (B_i + C_i * JME) |
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L1 = \sum_{i=0}^{n} L0_i |
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L2_i = A_i * cos (B_i + C_i * JME) |
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L2 = \sum_{i=0}^{n} L0_i |
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L3_i = A_i * cos (B_i + C_i * JME) |
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L3 = \sum_{i=0}^{n} L0_i |
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L4_i = A_i * cos (B_i + C_i * JME) |
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L4 = \sum_{i=0}^{n} L0_i |
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L5_i = A_i * cos (B_i + C_i * JME) |
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L5 = \sum_{i=0}^{n} L0_i |
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L = \frac{(L0 + L1*JME + L2*JME^2 + L3*JME^3 + L4*JME^4 + L5*JME^5)}{10^8} |
Calculate Earth heliocentric latitude (B):
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B0_i = A_i * cos (B_i + C_i * JME) |
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B0 = \sum_{i=0}^{n} L0_i |
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B1_i = A_i * cos (B_i + C_i * JME) |
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B1 = \sum_{i=0}^{n} L0_i |
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B = \frac{(B0 + B1*JME)}{10^8} |
Calculate the Earth radius vector (R) in astronomical units (AU):
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R0_i = A_i * cos (B_i + C_i * JME) |
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R0 = \sum_{i=0}^{n} L0_i |
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R1_i = A_i * cos (B_i + C_i * JME) |
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R1 = \sum_{i=0}^{n} L0_i |
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R2_i = A_i * cos (B_i + C_i * JME) |
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R2 = \sum_{i=0}^{n} L0_i |
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R3_i = A_i * cos (B_i + C_i * JME) |
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R3 = \sum_{i=0}^{n} L0_i |
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R4_i = A_i * cos (B_i + C_i * JME) |
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R4 = \sum_{i=0}^{n} L0_i |
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R = \frac{(R0 + R1*JME + R2*JME^2 + R3*JME^3 + R4*JME^4)}{10^8} |
Caculate the geocentric longitude and latitude (Θ and ß)
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\theta = L + 180 |
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\beta = -B |
Calculate the nutation in longitude and obliquity (Δψ and Δε)
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