Assume that the center of the globular cluster distribution is the center of our galaxy. Use the information in the table to calculate the distance of the Galactic center from the sun and the position of the Galactic center in the sky in RA and DEC. This exercise is best done by writing a computer program that will do all the repetitive trigonometric calculations that are needed.

The data:

Name	RA	DEC	R_Sun
NGC104	305.89	-44.89	4.5
NGC288	152.3	-89.38	8.9
NGC362	301.53	-46.25	8.6
Whiting1	161.22	-60.76	30.1
NGC1261	270.54	-52.12	16.3
Pal1	130.06	19.03	11.1
AM1	258.34	-48.47	123.3

Where column 1 is the name of the object, column 2 is the (Right Ascension) longitude of the object on the celestial sphere, a number between 0 and 360 degrees (analogous to geographical longitude on Earth), column 3 is the (Declination) latitude of the object on the celestial sphere, a number between 90 and -90 degrees (analogous to geographical latitude on Earth), column 4 is the distance of the globular cluster from the sun in kpc (kilo-parsecs).