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This thesis develops and establishes several methods to determine
the detailed geometric architecture of transiting exoplanetary
systems (planets orbiting around, and periodically passing in front
of, stars other than the sun) using high-precision photometric data
collected by the Kepler space telescope. It highlights the
measurement of stellar obliquity - the tilt of the stellar equator
with respect to the planetary orbital plane(s) - and presents
methods for more precise obliquity measurements in individual
systems of particular interest, as well as for measurements in
systems that have been out of reach of previous methods. Such
information is useful for investigating the dynamical evolution of
the planetary orbit, which is the key to understanding the diverse
architecture of exoplanetary systems. The thesis also demonstrates
a wide range of unique applications of high-precision photometric
data, which expand the capability of future space-based photometry.
This thesis develops and establishes several methods to determine
the detailed geometric architecture of transiting exoplanetary
systems (planets orbiting around, and periodically passing in front
of, stars other than the sun) using high-precision photometric data
collected by the Kepler space telescope. It highlights the
measurement of stellar obliquity - the tilt of the stellar equator
with respect to the planetary orbital plane(s) - and presents
methods for more precise obliquity measurements in individual
systems of particular interest, as well as for measurements in
systems that have been out of reach of previous methods. Such
information is useful for investigating the dynamical evolution of
the planetary orbit, which is the key to understanding the diverse
architecture of exoplanetary systems. The thesis also demonstrates
a wide range of unique applications of high-precision photometric
data, which expand the capability of future space-based photometry.
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