We propose and evaluate the feasibility of a new strategy to search for planets via microlensing observations. This new strategy is designed to detect planets in wide orbits, i.e., with orbital separation, a, greater than ~1.5 R_E. Planets in wide orbits may provide the dominant channel for the discovery of planets via microlensing, particularly low-mass (e.g., Earth-mass) planets. Because the ongoing microlensing observations and extensions of them should be able to discover planets in wide orbits, we provide a foundation for the search through detailed calculations and simulations that quantify the expected results and compare the relative benefits of various search strategies. If planetary systems similar to our own or to some of the known extra-solar systems are common, then the predicted detection rates of wide-orbit events are high, generally in the range 2-10% of the present detection rate for apparently single events by stars. The expected high rates should allow the microlensing observing teams to either place significant limits on the presence of planetary systems in the Galactic Bulge, or begin to probe the population in detail within the next few years. We also address the issues of (1) whether planets discovered via microlensing are likely to harbor life, (2) the feasibility of follow-up observations to learn more about planet microlenses, and (3) the contamination due to stellar populations of any microlensing signal due to low-mass MACHOs.
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