8-15-2005

Doug Ronald

Report on combined velocities of the Earth and Sun through the galaxy.

Premise

To calculate the overall velocity of a person in Fayetteville Arkansas relative to the center of the galaxy.

Data

Earth:              radius = 6371km     v = .46km ( @ equator)

                        Fayetteville latitude = 36^o N  Earth orbit radius = 1 AU = 150Mkm

                        Earth orbital   v= 29.8 km/s

Sun:                Sol orbit r = 30,000 c><>  

                        1 c><> = 9.46E12 km

                        Sol orbital v = 250km/s

I have chosen to calculate the velocities when all directions are complementary (Fayetteville's rotational and orbital trajectories are parallel with Sol's).

w_e = v_e/r_e = (.45 km /s)(cos 36^o) / 6371km  = 5.84E-5 rads/s

w_e-s = v_e-s/r_e-s = (29.8 km/s)/1AU  = 1.98E-7 rads/s

w_s-g = v_s-g/r_s-g = (250km/s) / 30,000 c><> = 8.81E-16 rads/s

w_total = 5.86E-5 rads/s

(w_total)(r) = (5.86E-5 rads/s)(30,000 c><>) = 1660E13m/s

*which breaks the speed of light (ergo: incorrect)