Hot hydrogen burning has been analyzed for temperatures and densities
typical for explosive burning on compact objects and in supernovae. Re
action flow impedances due to cyclic reaction sequences, the role of w
aiting point nuclei, and the transition from the rp-process to the alp
hap-process are discussed as a function of increasing temperature and
nuclear properties. The analysis gives a clear indication of which nuc
lei play a crucial role in the burning process. It is here where exper
imental verifications of the presented reaction rate estimates are hig
hly desirable. The same nuclei can also be utilized to devise minimum-
size energy generation networks to be employed in hydrodynamic explosi
on calculations. Examples for specific conditions during supernova exp
losions, nova outbursts, X-ray bursts, or the evolution of Thorne-Zytk
ow objects are given, with typical abundance patterns expected in such
events.