A star of radius 720000 km and mass equal to that of the Sun has two small planets moving around it on circular orbits. The radius of the first planet's orbit is 70 times the radius of the star. It is known that the kinetic energy of the orbital motion of the second planet is equal in magnitude to the potential energy of the first planet in the field of the star. What is the radius of the second planet's orbit if it is 4 times heavier than the first planet?

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A star of radius 720000 km and mass equal to that of the Sun has two small planets moving around it on circular orbits. The radius of the first planet's orbit is 70 times the radius of the star. It is known that the kinetic energy of the orbital motion of the second planet is equal in magnitude to the potential energy of the first planet in the field of the star. What is the radius of the second planet's orbit if it is 4 times heavier than the first planet?

 

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