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The Galactic center supermassive black hole (SMBH) Sagittarius A* (Sgr A*) is the closest such object and thus is an ideal target for investigation of galactic nuclei and their activity cycles. Its remarkable underluminous X-ray state is punctuated by outbursts on different time and energy scales. This thesis presents a study of past, current and possible future X-ray outburst activities from Sgr A*, using the hard X-ray telescope NuSTAR. Indication of substantial past Sgr A* activity, similar to that observed in low-luminosity active Galactic nuclei, has come from the Galactic center molecular clouds (GCMCs). Using these X-ray reflecting GCMCs, I have studied the characters of past Sgr A* X-ray outbursts. The current X-ray quiescence of Sgr A* is punctuated by directly detectable flares. The radiation mechanism and physical process of these X-ray flares are poorly understood. From about 1 Ms NuSTAR observations of Sgr A*, I collected nine bright X-ray flares. I studied their timing behavior and the correlation between flares' strengths and their spectra. Future Sgr A* X-ray activity could increase due to the infall of a gas cloud G2 into this SMBH. Finally, I present the Galactic center cosmic-ray population revealed by non-thermal X-ray filaments and its connection to Sgr A* outbursts.

The mildly active nuclear region in the galaxy M81 (henceforth, M81‹) is one of the nearest low-luminosity active galactic nuclei (LLAGN) whose structure is marginally resolved when probed with Very Long Baseline Interferometry (VLBI). Motivated by the way resolved radio sources usually appear on the smallest scales, i.e., a core with a one- sided jet structure, we developed a strictly one-sided, asymmetric triangular model, which we call ASYM, with brightness distribution along a line segment on the sky, with maximum brightness at one end of the segment fading linearly to zero at the other end. The ASYM model is compared and contrasted with an elliptical Gaussian model (hereafter, GAUS), by fitting existing VLBI data of M81‹ at 39 epochs between 1993 and 2003 at 8.4 and 5.0 GHz with the two models. Contrary to what we envisioned, we find that for 77% of our epochs, a simple GAUS model fits the visibility data of M81‹ at 8.4 GHz better (i.e., has a lower reduced 2) than the ASYM model. We conclude that M81‹ is not strictly a one-sided, asymmetric jetted source; as is thought to be the case for the majority of AGN observed at VLBI scales. Our results imply that M81‹ is mostly symmetrical with a significant jet counterpart which cannot be overlooked. / School of Interdisciplinary Research and Graduate Studies (SIRGS) / M. Sc. (Astronomy)