Spherical shape object flying silently at approximately 400 knots over Mandeville, LA, at an approximate altitude of 15,000 ft agl.

My wife, daughter and myself observed a spherical shaped object flying at approximately 15,000 ft agl, moving on an approximate 190 degree heading on the approach path to KMSY (Louis Armstrong airport in New Orleans).  
Estimated speed was around 400 knots.  As it approached the 30 mile mode c veil for KMSY, it rapidly changed its heading to approximately 270, accelerated and disappeared within 5 seconds.  The entire event lasted approximately 20 seconds.
It appeared to maintain its altitude during the entire observed path.  It was orange to orange/red in color that pulsed/shimmered that change the hue of its colors.  
It appeared to be completely silent as it traversed the airspace I described above.