http://www.usconstitution.net/xconst_A1Sec8.html Which says in part:
To define and punish Piracies and Felonies committed on the high Seas, and Offenses against the Law of Nations;
To declare War, grant Letters of Marque and Reprisal, and make Rules concerning Captures on Land and Water;
To raise and support Armies, but no Appropriation of Money to that Use shall be for a longer Term than two Years;
To provide and maintain a Navy;
To make Rules for the Government and Regulation of the land and naval Forces;
To provide for calling forth the Militia to execute the Laws of the Union, suppress Insurrections and repel Invasions
The way I read it there is no requirement to have a standing army but one to have a navy. No specific weapons systems, but it should be a safe bet to assume the navy would need boats/ships.
There are also some interesting things said about militias there as well.