(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given that Jupiter has a mass of 1.9x10^27 kg, and the sun has a mass of 1.99x10^30 kg:

a) Calculate the value of Kepler's constant for Jupiter.

b) If Jupiter's orbital period is 11.89 Earth years, calculate the average radius of its orbit.

2. Relevant equations

K = Gmp/4pi^2 = r^3/T^2

11.89x365x24x3600 = 374963040

3. The attempt at a solution

For a) Kjupiter = Gmp/4pi^2

(6.6x10^-11)(1.9x10^27)/4pi^2

= 3.21x10^15 m^3/s^2

b) Ksun = Gmp/4pi^2

ksun = (6.67x10^-11)(1.99x10^30)/4pi^2

3.36x10^18 m^3/s^2

Ksun=r^3/T^2

Therefore: r^3 = Ksun*T^2

r = cubed rt. of Ksun*T^2

r = cubed rt. of (3.36x10^18)(374963040)^2

r = cubed rt. of 4.724068653x10^35

r = 7.8x10^11m

I am really unconfident about these answers, can someone tell me if I am one the right track or should give up on Physics?

Thank you in advance.

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# Homework Help: Kepler's constant and average radius of orbit

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