High data rate networking between manned and unmanned aerial vehicles enables sensor fusion, more coordination, and support for aerial vehicles as wireless base stations. In this talk, we evaluate the potential for millimeter wave (mmWave) high data-rate communication between aerial vehicles. We consider a MU multiple-input multiple-output (MIMO) system based on hybrid architectures to implement an aerial network. One aircraft acts as the access point, while other aerial vehicles communicate through the access point via air-to-air mmWave communication links. We focus on the problem of the design of channel estimation and tracking algorithms with low overhead, which is essential in a high mobility scenario. We design an algorithm based on sparse recovery tools that leverage position and trajectory information to obtain knowledge of the aerial channel. Rate analysis is also provided accounting for imperfect channel knowledge obtained with the proposed channel estimation algorithm.