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: http://www.stsci.edu/~sontag/spicedocs/cspice/nplnpt_c.html
Дата изменения: Sat Dec 17 06:09:23 2005 Дата индексирования: Mon Apr 11 00:05:36 2016 Кодировка: Поисковые слова: earth orbit |
Find the nearest point on a line to a specified point, and find the distance between the two points.
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Variable I/O Description -------- --- -------------------------------------------------- linpt, lindir I Point on a line and the line's direction vector. point I A second point. pnear O Nearest point on the line to point. dist O Distance between point and pnear.
linpt lindir are, respectively, a point and a direction vector that define a line in 3-dimensional space. The line is the set of points linpt + t * lindir where t is any real number. point is a point in 3-dimensional space.
pnear is the nearest point on the input line to the input point. dist is the distance between the input line and input point.
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For every line L and point P, there is a unique closest point on L to P. Call this closest point C. It is always true that P - C is perpendicular to L, and the length of P - C is called the "distance" between P and L.
1) Suppose a line passes through the point ( 1, 2, 3 ) and has direction vector ( 0, 1, 1 ). We wish to find the closest point on the line to the point ( -6, 9, 10 ). We can use the code fragment #include "SpiceUsr.h" . . . LINPT[0] = 1.0; LINPT[1] = 2.0; LINPT[2] = 3.0; LINDIR[0] = 0.0; LINDIR[1] = 1.0; LINDIR[2] = 1.0; POINT[0] = -6.0; POINT[1] = 9.0; POINT[2] = 10.0; nplnpt_c ( linpt, lindir, point, pnear, &dist ); After the call, pnear will take the value ( 1., 9., 10. ); dist will be 7.0.
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1) If the line direction vector lindir is the zero vector, the error SPICE(ZEROVECTOR) is signaled.
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N.J. Bachman (JPL)
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-CSPICE Version 1.0.0, 16-AUG-1999 (NJB)
distance between point and line nearest point on line to point