ˆά“x
₯l‹C‹LŽ–Χέ·έΈή
ψκ2.ˆά“x‚ΜŽν—ή
2.4.³Οˆά“x (authalic latitude)
‹…‚Φ‚Μ“™ΟŽΚ‘œ‚π—^‚¦‚ιˆά“x‚Ζ‚΅‚Δ’θ‹`‚³‚κ‚鑐³Οˆά“x ‚Ν€’n—ˆά“x ‚ΖˆΘ‰Ί‚Μ‚ζ‚€‚ΘŠΦŒW‚Ι‚ ‚ιF

ξ ( φ ) = sin 1 ( s ( φ ) s ( π / 2 ) ) {\displaystyle \xi (\varphi )=\sin ^{-1}\left({\frac {s(\varphi )}{s(\pi /2)}}\right)} ‚½‚Ύ‚΅€ ‚͐ԓΉ‚©‚η’n—ˆά“x ‚ά‚Ε‚Μˆά“x‘іʐςπ•\‚΅€’n—ˆά“x ‚Ι‚¨‚―‚ι’n‹…‘Θ‰~‘Μ‚ΜŽqŒίό‹Θ—¦”ΌŒa‚¨‚ζ‚Ρ‰K“ѐό‹Θ—¦”ΌŒa‚π‚»‚κ‚Ό‚κ ‚¨‚ζ‚Ρ ‚Ζ‚·‚ι‚Ζ‚«€

s ( φ ) = 2 π 0 φ M θ N θ cos θ d θ = π a 2 ( 1 e e ) ( e sin φ 1 e 2 sin 2 φ + tanh 1 ( e sin φ ) ) {\displaystyle {\begin{aligned}s(\varphi )&=2\pi \int _{0}^{\varphi }M_{\theta }N_{\theta }\cos \theta {\rm {d}}\theta \\&=\pi a^{2}\left({\frac {1}{e}}-e\right)\left({\frac {e\sin \varphi }{1-e^{2}\sin ^{2}\varphi }}+\tanh ^{-1}(e\sin \varphi )\right)\end{aligned}}} ‚Ε—^‚¦‚η‚κ‚ι[3]

[4]‘OΝί°Όή
(2.3.X¬ˆά“x (reduced latitude))
[6]ŽŸΝί°Όή
(2.5.‹’·ˆά“x (rectifying latitude))
ω~–ΪŽŸ‚Ι–ί‚ι
o“T:Wikipedia
2019/03/27 07:30
ωΏl‹C‹LŽ–Χέ·έΈή
2019/12/11 XV
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[9]WikipediaΔ―Μί
[0]gooΔ―Μί
‘–ΖΣŽ–€
(C)NTT Resonant