What units are desired for the velocity? m/s? km/yr?
A. The Sun-Jupiter barycenter is 742000 km from the center of the Sun.B. 742000 * 2π =(NNN) NNN-NNNN Divide that by the 11.86 years that Jupiter takes to orbit, and you get 393096 km/yr. Translate that to m/s and you get 12.46 m/sC. The Sun-Earth barycenter is measly 449 km from the Sun's center, and the sun revolves around that point once a year. 449 * 2π = 2820 km/yr or 0.089 m/s or about 9 cm/sec
Thank you! Could you explain B a little more to me? I'd just like to know what equations you used and/or where the numbers are coming from? For instance, what's the 2n at the beginning?
C = 2·pi·r742000 · 2 · pi =(NNN) NNN-NNNN This is the distance the sun will travel around that point. Jupiter takes 11.86 years to go around the Sun, so the Sun will move around that point in the same period. (NNN) NNN-NNNN/ 11.86 = 393096 km/yr
(393096) km/yr * (1000) m/km * (1 / 31536000) yr/sec = 12.465 m/sec
Ah, of course. Thank you again! (:
I am of course simplifying things a bit, making the orbit circular, but the difference probably is less than the significant figures.
Jupiter's eccentricity is only 0.0484, so it is not much of a simplification.