Mechanics of reinstating previously overturned rulings

[TML]

A few years ago, a study conducted by Vanderbilt University indicated that if 18-year term limits were implemented for Supreme Court justices shortly after Roe v. Wade in 1973, the subsequent judicial appointments would probably result in Roe being overturned in 1987, reinstated in 2009, and then overturned again in 2017. What are the mechanics of reinstating previously overturned decisions, if they exist? Are there any SC rulings in history which actually reinstated rulings that had been previously overturned?

[TML]

^So if I were to apply your reasoning to the hypothetical judicial timeline mentioned in the study above, would the result be something like:

-A 1987 ruling stating that there's no constitutional right to abortions;
-A 2009 ruling stating that abortion is protected by the constitution;
-A 2017 ruling again stating the lack of a constitutional right to abortions.

?