Explosion with particles problem

Hello! I am working on a project for school and I need a little guidance. The assignment requires an explosion with 2 spheres. The explosion calls for two spheres (one as a halo), both with particle systems, and a point lamp for added light. There seems to be a problem with my second sphere and how it acts over the course of the animation. It appears that it duplicates itself, and while the normal particles break apart and fall with the first sphere, it’s like there’s a second wave of particles that falls for a bit and then just sits there suspended in midair. I have attached my blender file so you can render/look at what I’m talking about. If you can find any reason as to why this is happening and how I can fix it, please let me know. Any help you can give is greatly appreciated.Explosion_v3.blend (846 KB)

On sphere 2, uncheck dead in modifier under explode and try it to see it that is what you want.

YES! Thank you so much!