Guy on a Missile: What effect on the missile?

Do smaller things like this count as missiles, or should it be called a rocket?

Generally speaking, if it’s got a guidance/steering system of some sort, it’s a missile; if there’s no guidance/steering, it’s a rocket.

The aerodynamic effects of those “external stores” are accounted for in flight controllability and drag, and of course both missiles and weapon/instrument/fuel pods are conformally shaped to minimize drag. A guy in a powered suit hanging off of a hardpoint is definitely going to affect stability and drag performance, although probably not enough to cause a large fighter jet to become uncontrollable at cruising speeds.

The bigger question is what Iron Man was hanging onto on the belly of the aircraft; the F-22 is a largely composite airframe and all of the external skin is a carbon fiber/bismaleimide resin composite system that can bear the compressive and shear aeroloads but is actually fairly delicate in interlaminar tension, so if he was somehow adhesively or electrostatically ‘clutching’ the outer layer of the skin, he’d basically rip that off and likely cause a cascading structural failure as successive layers disbonded from one another. Or, if he dug the suit’s gauntlets in between panels he’s probably going to overstress those and tear them out.

This is the general convention with ‘tactical’ weapons but with larger craft that isn’t true. All non-airbreathing propulsion systems are based upon the rocket principle (internal heating of propellants under pressure that are then expelled from a nozzle for momentum transfer), but ‘missiles’ means they are weapons or weapon-carriers, and rockets are non-weapon vehicles used for experiments, targets, or space launch vehicles.

Stranger

In the US military nomenclature system, @Machine_Elf’s distinction is the literal technical truth.

At least in the context of US Air Force and Navy weapon systems, the distinction is guidance.

Most aircraft rocket-propelled weapons are guided but within living history the USAF had a major weapon system which was unguided: the AIR-2 Genie. (Which really didn’t need guidance, because “close” is good enough when you’re packing a 1.5 kiloton warhead.)

Of course, the distinction is only in the context of this specific nomenclature system, so the broader use of missile (weapon system) versus rocket (non-weapon system) may be more appropriate for this discussion.

As an aside, that’s the Western/US distinction. Everything is a rocket in Soviet/Russian/Chinese parlance, from a Katusha to an ATGM up to an ICBM. See Strategic Rocket Forces (USSR/Russia) and People’s Liberation Army Rocket Force (China), while the USAF operates strategic missile wings.