See:

The Judge Advocate General (TJAG) is the military legal advisor to the Secretary ... Not only would a Joint Legal Corps be out of step with the individual service ...
https://archive.org/stream/DTIC_ADA404517/DTIC_ADA404517_djv...

and

Jan 9, 2014 - ... services directly linked to military equipment or sensitive equipment, ... the competent organ of the joint legal body, the national provisions of ...
http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd...


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Note added at 9 hrs (2020-03-03 07:07:41 GMT)
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Also known in U.S. English as ‘Joint JAG corps.’ See:

... hold Sworn Officer authority domestically, but when the military police administration unit and the Joint JAG Corps responded that all soldiers ...
https://forum.nationstates.net/viewtopic.php?f=23&t=15409

The Judge Advocate General's Corps (JAG Corps) is the branch or specialty of a military concerned with military justice and military law.
https://en.wikipedia.org/wiki/Judge_Advocate_General's_Corps


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Note added at 10 hrs (2020-03-03 07:27:11 GMT)
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Also see:

Apr 9, 2002 - The JAG Corps is the Army's military legal services and support structure, ... have suggested the need for a single "Joint Legal Corps" to.
https://apps.dtic.mil/dtic/tr/fulltext/u2/a404517.pdf


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Note added at 10 hrs (2020-03-03 07:34:13 GMT)
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And

https://dictionary.cambridge.org/dictionary/english/corps

https://www.wordreference.com/gren/σωμα