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Re: Sfericheskaya astronomiya
9.12.2005 18:41 | Gost'
Orty sfericheskoi sistemy koordinat vyrazhayutsya cherez orty dekartovoi sleduyushim obrazom:
ir = (cos(lambda)*ix+ sin(lambda)*iy)sin(theta) + cos(theta)*iz,
ilambda = -sin(lambda)*ix+ cos(lambda)*iy,
itheta = (cos(lambda)*ix+ sin(lambda)*iy)cos(theta)- sin(theta)*iz,
otkuda, pri theta=90o i lambda=0o sleduet, chto
ir = ix,
ilambda = iy,
itheta = -iz.
Eto oznachaet, chto troiki ortonormirovannogo bazisa dekartovoi i sfericheskoi sistem koordinat - protivopolozhno orientirovany (znak "-" pered ortom iz). Esliu dekartovoi sistemypravaya orientaciya bazisnoi troiki, to u sistemy sfericheskoi v dannom sluchae ona - LEVAYa.
Avtoram stat'i neobhodimo razobrat'sya s putanicei, vytekayushei iz togo, chto oni pishut.
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