DES MOINES, Iowa (AP) — Supporters of the nation's strictest abortion law are hoping a lawsuit filed against the Iowa measure will bring the issue back before the U.S. Supreme Court, but constitutional experts say that's unlikely because of a legal maneuver by abortion-rights groups.

The Iowa affiliates of the American Civil Liberties Union and Planned Parenthood filed a lawsuit this week challenging the constitutionality of a law set to go in effect on July 1 that would prohibit most abortions in the state once a fetal heartbeat is detected. That's around six weeks of pregnancy.

However, the...