How to combine multiple hemispheres into a single smooth mesh properly? I am making an object which is made by combining one big hemisphere and four small hemispheres. Here is what I've done:


As you can see, one of the small hemispheres merges well with the big hemispheres while one merges not too properly.


Here is the mesh:

This is the post I followed to make the object.

I made three spheres (one large sphere and two small spheres) first, follow the instructions to combine them, cut the upper half of the object and apply a mirror modifier. 

However, when I tried to use Damped Track modifier on the second small sphere, the modifier align them in a way which the first small sphere overlaps with the second one. I think this is because I set the Damped Track Contraints to be Z for both small sphere, but if I set it to be other directions, the mesh will become what I've made above, which the second sphere cannot merge well with the big sphere.

Please help and I appreciate all the kindly assistance.
did you try "Auto Smooth" feature:

I tried to reproduce your problem, here is the result without Auto-smooth:


And with it, set with a 30deg angle:



I tried to play around with individual Edge sharpening without success.