Question

Planet Geos in orbit a distance of 1 A.U. (astronomical unit) from the star Astra has an orbital period of 1 "year." If planet Logos is 4 A.U. from Astra, how long does Logos require for a complete orbit?

Answer 1

@mhchen

Answer 2

mmm.....so I think we're supposed to calculate the radial accerleration for Geos, and then divide that by 5, I'm GUESSING, to find the radial accerlation of Logos, and then find the........whatever it takes to find the time. (Maybe tangential velocity or period, do you hav the formulas for them all? I forget :b)

Answer 3

Tangential speed (vt) = distance from the axis (r) x angular speed (ω)

Answer 4

Kepler's 3rd Law

Answer 5

\(\Large T^2 \propto r^3\)