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Of course like Bear-Nenno said, it is required to show respect to any branch.
3) An O-3 (Level three officer) is a Captain in the Army but called something else in the Navy, Lt. I believe a Captain in the Navy is equivalent to a Brigadier General in the Army - an O-6.
So, if he wants to task me to do something, he'll have to go through my direct superiors (chain of command) to do it.
For your third question, there are no such particular protocols I'm aware of for that sort of thing, aside from the general idea of not fraternizing between enlisted and officer.
This rank is (or was) a five-star general in the U. Army -- which I understand is now either very rare or non-existant. Also IIRC, five-star generals were accountable only to the Commander-in-Chief.
However, IIRC, Eisenhower and Mac Arthur both were five-star Generals at various times, and were in total command of all U. I believe the SECDEF still has the authority to create an O-11 position, but it hasn't been used since WWII.
They said something to the effect of saluting only happens when people are wearing sidearms.... Army: Salutes indoors only when reporting (such as for pay or for Article 15).
that and something to do with wearing your hat / cap / lid..... Salutes in civvies if one recognizes warrant or commissioned officer who outranks you.
At the airfield they probably wrote down "O-5", and did not know you were Navy, or made a mistake, it is neither common or correct to use another service's name for your rank. BTW, is there a still a General of the Army rank which trumps all other officers of all other services in unified command (a virtual O-11)?
for the zillionth time on TBS, something occurred to me... 3) An O-3 (Level three officer) is a Captain in the Army but called something else in the Navy, Lt. I believe a Captain in the Navy is equivalent to a Brigadier General in the Army - an O-6. Different branches are supposed to learn to recognize officers in other branches and, if over seas, officers in other militaries.
Kaffee (Cruise) is in the Navy, and at some point during the movie he asks Cpl Dawson (Who's a Marine) "What happened to saluting when an officer leaves the room? 2) Do ranks in the US military have official equivilant ranks in other branches of the US military? ) 3) What protocols exist for commingling of military personnel from different branches? US military personell are required to show the same respect to officers of the military of other NATO countries.
If they should give you an order, you are legally obliged to obey. The grades are O-1, Ensign, O-2; Lieutenant Juniour Grade (LTJG); O-3, Lieutenant; O-4, Lieutenant Commander; O-5, Commander;, O-6, Captain; and then Commodore (if that's in use at the moment) and the Admirals. There are quite a few Navy Captains aboard a carrier, for example, at one time and each of them is addressed by either their rank or their courtesy title.
When it comes to foreign militaries, it gets trickier, but in general you always show the respect their rank deserves. 3) An O-3 (Level three officer) is a Captain in the Army but called something else in the Navy, Lt. I believe a Captain in the Navy is equivalent to a Brigadier General in the Army - an O-6. That bit about addressing an Army Captain as Major is just fiction from the novel Starship Troopers. Navy, a Marine, Army, or AF Captain (O-3) aboard a ship will always be called "Captain," just as in any other unified command.