  As a planet orbits, it causes periodic modulations in the light curve of its
host star. Due to the combined effects of the planet raising tides on the host
star, relativistic beaming of the starlight, and reflection of light off the
planet's surface, these modulations occur at the planet's orbital frequency, as
well as integer multiples of this frequency. In particular, planets on
eccentric orbits induce third and higher-order harmonics in the stellar light
curve which cannot be explained by circular-orbit models. Even at moderate
eccentricities, such as those typical of Solar System planets, these harmonics
are detectable in current and future photometric data. We present an analysis
of the harmonics caused by tides, beaming, and reflection in eccentric
planetary systems. We explore the dependence of these signals on the parameters
of the system, and we discuss prospects for current and future observations of
these signals, particularly by the NASA TESS mission. Finally, we present
publicly available code for computation of light curves with tidal, beaming,
and reflection signals, OoT.
