I believe that the meteor under motion burns due to friction which is termed as 'Shooting star'. I am curious to know whether the boundary layers exist for shooting stars. If so, do all heavenly bodies under periodic motion have boundary layer?
It's not really my expert field, but it is a very interesting question and worth to start a discussion. Of course there exist a boundary layer, the question is how it looks like? Depending on the material composition of the object, some kind of gas evaporation may occur due to the thermal load and thus may produce a secondary layer covering the surface. In this case, flow dynamics of the object travelling the atmosphere is different to a purely solid object. Hopefully, an aerospace expert could give an answer, as it is even important for space vehicles during the re-entrance.
I can just give my opinion. Assuming that we consider only the continuum hypothesis, much more relevant than the BL is the detached shock (compression waves) in the frontal part. Dissociation, ionization, non-equilibrium phenomenon are involved that can have strong impact on the classical idea of BL (dynamics and thermal) over the body. Then depending on the material of the meteor the heat flux can alter also the thermal BL.
I suppose you can find much more answers in the field of aerodynamics of reentry capsule
There is a boundary layer in the atmosphere. The dimensions, shape and condition of the moving bodies directly affect the dimensions and shape of the boundary layer. Flow dynamics of the object travelling the atmosphere is different to a purely solid object. Please look: https://www.scribd.com/document/174037340/A-Mbs-Flying