NASA Meatball the Mercury Days
This is our best effort at a reproduction
"This white bordered NASA insignia patch is the version worn by the astronauts during the Mercury program, as can be seen in the closeup photo details shown on the right.
Use did extend into the Gemini program, as evidenced by an example sold from the Armstrong collection in 2018 which had been worn on one of his flight-suits."
Chris Spain
Made in the USA
The diameter of the center of the patch is approximately 3 inches.