ERFA.tpsts(xi, eta, a0, b0)In the tangent plane projection, given the star's rectangular coordinates and the spherical coordinates of the tangent point, solve for the spherical coordinates of the star.
xi,eta double rectangular coordinates of star image (Note 2)
a0,b0 double tangent point's spherical coordinates
*a,*b double star's spherical coordinates
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The tangent plane projection is also called the "gnomonic projection" and the "central projection".
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The eta axis points due north in the adopted coordinate system. If the spherical coordinates are observed (RA,Dec), the tangent plane coordinates (xi,eta) are conventionally called the "standard coordinates". If the spherical coordinates are with respect to a right-handed triad, (xi,eta) are also right-handed. The units of (xi,eta) are, effectively, radians at the tangent point.
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All angular arguments are in radians.
spherical vector solve for
eraTpxes eraTpxev xi,eta
> eraTpsts < eraTpstv star
eraTpors eraTporv origin
eraAnp normalize angle into range 0 to 2pi
Calabretta M.R. & Greisen, E.W., 2002, "Representations of celestial coordinates in FITS", Astron.Astrophys. 395, 1077
Green, R.M., "Spherical Astronomy", Cambridge University Press, 1987, Chapter 13.
This revision: 2018 January 2
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