Photometric Phase Variations of Long-Period Eccentric Planets

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The field of exoplanetary science has diversified rapidly over recent years as the field has progressed from exoplanet detection to exoplanet characterization. For those planets known to transit, the primary transit and secondary eclipse observations have a high yield of information regarding planetary structure and atmospheres. The refinement of orbital parameters allows precision targeting of transit windows and phase variations of known long-period planets which constrain the dynamics of the orbit and the geometric albedo of the atmosphere. Here we describe the expected phase function variations at optical wavelengths for long-period planets, particularly those in the high-eccentricity regime and multiple systems in resonant and non-coplanar orbits. We investigate the effects of orbital inclination on the flux ratio as it interacts with the other effects induced by orbital eccentricity. We further extend this work to the thermal detection of long-period eccentric planets during periastron passage. We apply this to the known exoplanets and discuss detection prospects and how observations of these signatures may be optimized.

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