A couple of relevant links for the discussion of the abortion rights cases.
The new Nebraska law on abortion restrictions raises several issues that have not been addressed by the Supreme Court in any previous case, as well as several that are more similar to restrictions that have already been tested. We will discuss this new law in light of the precedents that we have been reading and see how the Court might decide the cases that are sure to emerge once the law goes into effect. According to the Times account the law bans “most abortions 20 weeks after conception or later on the theory that a fetus, by that stage in pregnancy, has the capacity to feel pain”
Another Nebraska law signed at the same time requires “health care providers to screen women seeking abortions for possible physical or mental risks.”
Also see the report from ABC News.
Update: Amanda Marcotte has a good explanation of the new constitutional issues raised by the Nebraska law and some of the implications of these changes. Fetal pain, rather than viability, would be an entirely new consideration and one that fundamentally challenges Roe v Wade while opening up a great deal of space for states to impose new legal limits on abortion.