Alternately and maybe, the circle (TMP) or the bar (TWOK) behind the Delta might represent / symbolize a scientific or technical achievement that had a major impact on the UFP?
I had similar thoughts

Alternately and maybe, the circle (TMP) or the bar (TWOK) behind the Delta might represent / symbolize a scientific or technical achievement that had a major impact on the UFP?
How about this: Starfleet at the time was divided into broad functional commands, say Exploration Command, Patrol Command, and Defense Command, indicated by the Enterprise, Constellation and Exeter badges (not necessarily respectively). Because the fleet was stretched thin, starships did not always operate in their assigned command, but could be attached/detached to another as needed. Because of this muddying of the command divisions, Starfleet was eventually reorganized so there was only one big operational command, and one insignia, the arrowhead, was adopted for all and the other two dropped.
How about this: Starfleet at the time was divided into broad functional commands, say Exploration Command, Patrol Command, and Defense Command, indicated by the Enterprise, Constellation and Exeter badges (not necessarily respectively). Because the fleet was stretched thin, starships did not always operate in their assigned command, but could be attached/detached to another as needed. Because of this muddying of the command divisions, Starfleet was eventually reorganized so there was only one big operational command, and one insignia, the arrowhead, was adopted for all and the other two dropped.
Hmm ... while I quite like the idea of different fleet branches having different insignia, it does not explain, why the pennant on the exterior of the ships also changed (it was different from the Enterprise crew´s delta insignia).
Also, from what we get in TOS Starfleet seems to have a rather limited number of starships. Would dividing those into sub-commands/branches really be necessary or make sense?
For example, the arrowhead belongs to UESPA...
If Tracy were a "fleet captain" it would explain the difference.But that wouldn't explain why Tracey and Kirk wore different badges.... only those ranking fleet captain and above ...
If Tracy were a "fleet captain" it would explain the difference.But that wouldn't explain why Tracey and Kirk wore different badges.
Both Pike and Garth were fleet captains.
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