One way to detect planets around distant stars is to look for wobbling due to th

Question

One way to detect planets around distant stars is to look for wobbling due to the star moving around its common center of mass with the planet. This limits it to fairly close massive planets.

Assume a star has the same size and mass as our sun (radius = 696000000m, mass = 1.99*10^30 kg) with a planet five times the mass as Jupiter (9.5*10^27 kg) at the same distance (778000000000 m). How far from the center of the star is the center of mass of the system, expressed in terms of the star's radius R (how any R's from the center)?

Explanation / Answer

ms*X= mJ*(77.8x1010-X)

X=3.696x109 m

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