An aircraft may be registered under 49 U.S.C. 44103 only when the aircraft is not registered under the laws of a foreign country and is—
Owned by a citizen of the United States;
Owned by an individual citizen of a foreign country lawfully admitted for permanent residence in the United States;
Owned by a corporation not a citizen of the United States when the corporation is organized and doing business under the laws of the United States or a State within the United States, and the aircraft is based and primarily used in the United States; or
An aircraft of—
The United States Government; or
A State, the District of Columbia, a territory or possession of the United States, or a political subdivision of a State, territory, or possession.
No person may operate an aircraft that is eligible for registration under 49 U.S.C. 44101-44104, unless the aircraft—
Has been registered by its owner;
Is carrying aboard the temporary authorization required by § 47.31(c); or
Is an aircraft of the Armed Forces of the United States.
Governmental units are those named in paragraph (a) of this section and Puerto Rico.