The study indicates that jobs in astronomy have become severely limited in the last few years, with a near balance between supply and demand of astronomers. The following issues are assessed in this study: the current supply of astronomers in the United States, and its change as a function of time; the background and make-up of astronomers in the United States; how recent recipients of Ph.D. degrees in astronomy or astrophysics obtained their first professional position; current level of unemployment among United States astronomers, and how it compares with rumors about the situation; nature of the first professional position of recent degree holders; the degree of satisfaction of such persons with their current employment; and conclusions and recommendations drawn from the above considerations. Conclusions indicate that a major cause of the very limited employment opportunities in astronomy has been the migration into this field by scientists from other disciplines, especially physics, where the job opportunities are worse. (PR)