The federal appeals court in the nation’s capital, regarded by many as second only to the U.S. Supreme Court in stature, is slated to examine the Second Amendment’s reach outside the home.

The U.S. Court of Appeals for the D.C. Circuit is scheduled to hear arguments in two cases on Tuesday that present questions at the bleeding edge of Second Amendment law: Is there a constitutional right to carry a handgun outside the home? And if so, how much can the government limit that right?

The court is weighing a Washington, D.C., law that requires anyone seeking a license to carry a concealed gun to show “good reason to fear injury.”

Living in a high-crime neighborhood isn’t reason enough, according to rules put out by D.C.’s chief of police. Applicants have to show “a special need for self-protection distinguishable from the general community,” under the 2014 law.

Four federal regional appeals courts have upheld similar requirements in California, Maryland, New Jersey and New York. But they offered varying views of the Second Amendment’s strength in public.