To avoid what would undoubtedly be yet another painful confrontation with the Tom Osborne, the USS

Nittany Lion cowers in an alternate universe where the force of gravity is radial and attractive $($as in our universe$),$ but the

magnitude of the force is

F $=$ G$0$M$1$M$2$e$$ r

r$0$

where G$0$ has the value of $3\mathrm{.}021037$ dynes g$2$ and r$0=0\mathrm{.}0871$ AU$.$

The starship is in a solar system that contains a planet of similar mass and size to Earth orbiting a $1\mathrm{.}0$ M$,1\mathrm{.}0$ R$$ star

at a distance of $1\mathrm{.}4961013$ cm$.$ What is the escape velocity from the surface of the planet $($escape from the planet, not the

solar system$)?$ What is the planet$$s orbital period $($for this part you can assume an infinitely massive star$)?$ Could this planet

have a satellite in an orbit similar to that of the Earth$$s moon?