Since solar system (and our galaxy) is constantly in motion at a great speed, is it possible that we can look at our own image as it was sometime ago? Since the light of that age takes sometime to reach us, is it possible that we can look at earth as it was at that point in time. In more simple case, if I go to Mars and start looking at earth in detail, I will be looking at past as seen from earth, correct? Now, relative to current position of earth, past position would have been very far (much farther than distance between Mars and Earth). So, can we look at past? As the distance increase, we are looking at older past. Please correct me if I'm wrong.
[Not a homework. Curious question]