I understand the concept of time being relative as Einstein puts it. If something is moving faster than something else, it experiences time differently. That is time is moving slower for the faster moving object relative to the slower moving object.  I don't understand why you have the earth's rotation in your question.  We have satellites that are in geosynchronous orbit around the Earth.  Meaning they rotate the same as the earth does.  Because of this, there is a time difference between satellites in space and people on earth.  GPS navigation systems take advantage of this, do some crazy math to compensate for relativistic effects and what not to work.  It seems I'm going off on a tangent.  I'm sorry but I don't see any reason to think your idea would work.  Now if you wanted to get on a hypothetical spaceship traveling close to the speed of light and spent a year on it and then came back to Earth.  You will find that time has progressed a lot faster for the people on Earth.  That is, your one year on the spaceship was much longer than a year on Earth (I haven't worked out the math to know exactly how much longer)