Although many independent astrophysical and cosmological observations imply the existence
of a new dark matter particle, experimental searches have so far been unable to provide
any conclusive evidence of such a particle. The study of dark matter and its behavior
in astrophysical systems is a promising directions for current and future searches, as the
sheer scale of these systems allows physicists to probe regions of parameter space that are
unreachable in laboratory or collider experiments. This thesis will describe several ways in
which we may test dark matter models using astrophysical observations. Chapters 2, 3, and
4 will describe the use of gamma-ray and cosmic-ray data in testing and constraining WIMP
dark matter models. Chapter 5 will discuss dark hydrogen as a possible self-interacting dark
matter candidate, and provide testable predictions for future observations.