@sweetPeas - I agree with you that if a case is dismissed or dropped that there should be a way to bring it back to the courts. And thankfully there is a way, as long as procedures are followed and the judge sees it your way - that you have good reasons for wanting to try again.
And there is yet another way to get a decision changed. When you submit a motion for reconsideration, you are hoping a judge will look again at a decision that was already made. And hopefully the decision will be changed.
This procedure is probably fairly commonly used after divorce decrees are signed. Because of changes in circumstances for a divorced person after divorce, not all bases may have been covered. They feel that they need a second look, and rightly so.