Science

An alien spaceship is revolving around a spherical asteroid in a very low circular orbit. The period of revolution of the spaceship is 15 minutes. A research party of the alien students lands on the steroid and drills a tunnel through it along a diameter. They then launch a rock into the tunnel with an initial speed equal to that of the orbiting spaceship. How long would it be before the rock comes back to the launch point?

Someone please help

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  1. Is the asteroid rotating?

    Ok, ignore that.

    The trick here is to realize that if the period is 15 min, that will be the period for any satellite of velocity v (assuming very low orbit). So going through the center is an orbit, of extremely high eccentricity, but the period is still 15 min.

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