Strange Aircraft follows Flying Saucer over Bayonne New Jersey

Witness: I was on my deck, right after a rain storm, taking pictures of the skyline on August 12, 2016. I didn't see anything until I uploaded my photos and noticed a gray streak in one of the pictures.

I enlarged the area and was amazed by what I saw. It was a clear image of what looked like a flying saucer. You could see three lights/windows on the top of the craft.

Note: A remarkable (military?) aircraft flies at some distance from the UFO. I wonder whether the aircraft follows the UFO or if it is involved in a secret test program of man-made UFOs.

Is this new evidence of military involvement in the UFO phenomenon? Mufon case 78837.