Here is the definition of Peter from the Webster’s Revised Unabridged Dictionary (1913):
Peter Pet”er, v. i. [imp. & p. p. Petered; p. pr. & vb. n. Petering.] [Etymol. uncertain.] To become exhausted; to run out; to fail; — used generally with out; as, that mine has petered out. [Slang, U.S.]
After getting up at 4:00 a.m. on Tuesday, at 9:00 a.m. on Wednesday, at 10:30 a.m. on Thursday, and at 11:00 a.m. on Friday, I am, true to form, feeling “exhausted, run out and failing.”
Luckily, if I keep this up, I will wrap around and be up at 4:00 a.m. in about 2 weeks.
As a side point, I am also feeling as though my etymology is uncertain.