aerospace

which is the best aerospace engineering university in USA

MIT caltech and Stanford

There are 6 programs that are considered elite:

California Institute of Technology
Georgia Institute of Technology
Massachusetts Institute of Technology
Purdue University-West Lafayette
Stanford University
University of Michigan-Ann Arbor

You cannot go wrong with any of those 6 programs. They are interchangeable.

Other excellent programs include:

Princeton University
Texas A&M University-College State
University of Colorado-Boulder
University of Illinois-Urbana Champaign
University of Maryland-College Park
University of Texas-Austin

Also Iowa State and UA Huntsville, which has generous automatic merit.