What is the ruling on the continued discharge of urine for 15 to 30 minutes after urination, and what should one do who suffers from obsessive thoughts about urine drops being discharged, and is the method of placing the penis between the thighs and bending over to get rid of drops correct, and can this method cause atrophy in one of the testicles?

What you are doing—the nine strokes, placing the penis between the thighs, and bending over to expel urine remnants—is an act of over-elaboration, extremism, and innovation (bid‘ah). It is neither obligatory nor recommended. Urine exits naturally, and when it is expelled, it stops. Interfering to expel it may cause more dripping, and it is closer to obsessive whispers (waswasah).

Shaykh al-Islam Ibn Taymiyyah said: “Clearing the throat after urinating, walking, and jumping up… all of that is an innovation (bid‘ah); it is neither obligatory nor recommended.”

Urine remaining at the tip of the urethra does not need to be expelled, by scholarly consensus. Every time it is expelled, more comes out. Wiping with a stone (istijmar) or a tissue is sufficient, and it is recommended to sprinkle water on the private parts after cleansing (istinja’).

If urine genuinely continues to exit, wait until it stops, then cleanse yourself, perform ablution (wudu’), and pray. As for someone who has continuous urinary incontinence, they should wear a protective garment and perform ablution for each prayer, like a woman with irregular menstrual bleeding (mustahadah).