### SLA_V2TP

Direction Cosines to Tangent Plane

ACTION:
Given the direction cosines of a star and of the tangent point, determine the star’s tangent-plane coordinates (single precision).
CALL:
CALL sla_V2TP (V, V0, XI, ETA, J)
##### GIVEN:
 V R(3) direction cosines of star V0 R(3) direction cosines of tangent point

##### RETURNED:
 XI,ETA R tangent plane coordinates (radians) J I status: 0 = OK, star on tangent plane 1 = error, star too far from axis 2 = error, antistar on tangent plane 3 = error, antistar too far from axis

NOTES:
(1)
If vector V0 is not of unit length, or if vector V is of zero length, the results will be wrong.
(2)
If V0 points at a pole, the returned $\xi ,\eta$ will be based on the arbitrary assumption that $\alpha =0$ at the tangent point.
(3)
The projection is called the gnomonic projection; the Cartesian coordinates $\left[\phantom{\rule{0.3em}{0ex}}\xi ,\eta \phantom{\rule{0.3em}{0ex}}\right]$ are called standard coordinates. The latter are in units of the distance from the tangent plane to the projection point, i.e. radians near the origin.
(4)
This routine is the Cartesian equivalent of the routine sla_S2TP.