args[0]=message
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Re[2]: Opredelenie koordinat po tochke, azimutu i rasstoyaniyu
7.05.2005 22:12 | A. G. Vshivcev
Nu chto zh, esli nel'zya perehodit' v pryamougol'nye koordinaty, to, navernoe, zadacha chisto sfericheskaya: Zemlyu schitaem sharom, a otrezok - dugoi bol'shogo kruga. Pust'phi i lambda - shirota i dolgota tochki na zemnoi poverhnosti; A - azimut (schitaetsya ot napravleniya na severnyi polyus k vostoku), s - rasstoyanie, vyrazhennoe v uglovoi mere. Esli dano lineinoe rasstoyanie L, to uglovoe (v radianah) mozhno naiti, podeliv L na radius Zemli: s = L/R, gde R=6371 km. Iskomye koordinaty phi_1 i lambda_1 nahodyatsya po sleduyushim formulam sfericheskoi trigonometrii:
sin(phi_1) = cos(s)sin
(phi) + sin(s)cos(phi)cos(A),
cos(phi_1)sin(lambda_1-lambda) = sin(s)sin(A),
cos(phi_1)cos(lambda_1-lambda) =
cos(s)cos(phi)- sin(s)sin(phi)cos(A).
Snachala po pervoi formule nahoditsya phi_1, zatem po vtoroi i tret'ei sinus i kosinus lambda_1-lambda. Obe funkcii nuzhny dlya togo, chtoby pravil'no opredelit' chetvert' lambda_1-lambda.
Esli rasstoyanie neveliko (neskol'kokilometrovpo poverhnosti), to mozhno ispol'zovat' priblizhennye formuly:
s cos(A) =
phi-phi_1,
s
- Opredelenie koordinat po tochke, azimutu i rasstoyaniyu (A. N. Metelev, 9.01.2005 10:17, 368 Bait, otvetov: 5)
- Re: Opredelenie koordinat po tochke, azimutu i rasstoyaniyu (A. G. Vshivcev, 6.04.2005 19:48, 487 Bait)
- Re: Opredelenie koordinat po tochke, azimutu i rasstoyaniyu ( Gost', 22.04.2005 12:15, 122 Bait, otvetov: 1)
- >> Re[2]: Opredelenie koordinat po tochke, azimutu i rasstoyaniyu (A. G. Vshivcev, 7.05.2005 22:12, 1.1 KBait)
- Re: Opredelenie koordinat po tochke, azimutu i rasstoyaniyu ( Gost', 25.05.2005 9:31, 35 Bait)
- Re: Opredelenie koordinat po tochke, azimutu i rasstoyaniyu ( Gost', 4.06.2005 18:50, 239 Bait)