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Makovka662 [10]
3 years ago
15

A hypothetical spherical planet consists entirely of iron. what is the period of a satellite that orbits this planet just above

its surface?
Physics
1 answer:
san4es73 [151]3 years ago
7 0
Newton states: F=G*M*m/ r^2, where M= ρ* (4/3)*pi*r^3 is mass of iron planet, r is radius of the planet; 
<span> the same gravity force F=m*w^2*r is the centripetal force for the orbiting satellite, where angular speed w=2pi/T, T is period; </span>
<span> thus F=F; G*M*m/ r^2 = m*w^2*r; or; </span>
<span>G*(ρ* (4/3)*pi*r^3)/ r^2 = (2pi/T)^2*r; or; </span>
<span>G*ρ/3 = pi/T^2, hence T= √(3pi/(G*ρ)) = </span>
<span>= √(3pi/(6.6742E-11 *7860)) =4238.62s = 70h 38’;</span>
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