  The geometric distortion of CCD field of view has direct influence on the
positional measurements of CCD observations. In order to obtain high precision
astrometric results, the geometric distortion should be derived and corrected
precisely. As presented in our previous work Peng et al. (2012), a convenient
solution has been carried out and also been made with successful application to
Phoebe's observations. In order to further improve the solution, an orthogonal
method based on the Zernike polynomials is used in this work. Four nights of
CCD observations including Himalia, the sixth satellite of Jupiter, and open
clusters (NGC1664 or NGC2324) on each night have been processed to make an
application. The observations were obtained from the 2.4 m telescope
administered by Yunnan Observatories. The catalog UCAC4 was used to match
reference stars in all of the CCD frames. The ephemeris of Himalia is retrieved
from the (IMCCE). Our results show that the means of observed minus computed
(O-C) positional residuals are -0.034 and -0.026 arcsec in right ascension and
declination, respectively. The corresponding standard deviations are 0.031 and
0.028 arcsec. The measurement dispersion is significantly improved than that by
using our previous solution.
