“…Theoretical and computational studies [ Siskind et al , 1989a, 1989b; Codrescu et al , 1995, and references therein] have provided a solid foundation, but many details still need to be included. Rocket experiments [e.g., Evans et al , 1977; Theile et al , 1981] and incoherent scatter radar measurements [e.g., Thayer , 1998] have also helped to determine Joule heating rates during specific times and in specific locations. However, both of these methods are of limited temporal and spatial coverage.…”