  We present a coupled reorientation and climate model, to understand how true
polar wander (TPW) and atmospheric condensation worked together to create the
Sputnik Planitia (SP) ice sheet and reorient it to its present-day location on
Pluto. SP is located at 18 N, 178 E, very close to the anti-Charon point, and
it has been previously shown that this location can be explained by TPW
reorientation of an impact basin as it fills with N2 ice. We readdress that
hypothesis while including a more accurate treatment of Pluto's climate and
orbital obliquity cycle. Our model again finds that TPW is a viable mechanism
for the formation and present-day location of SP. We find that the initial
impact basin could have been located north of the present-day location, at
latitudes between 35 N and 50 N. The empty basin is constrained to be 2.5 -- 3
km deep, with enough N2 available to form at most a 1 -- 2 km thick ice sheet.
Larger N2 inventories reorient too close to the anti-Charon point. After
reaching the final location, the ice sheet undergoes short periods of
sublimation and re-condensation on the order of ten meters of ice, due Pluto's
variable obliquity cycle, which drives short periods of reorientation of a few
km. The obliquity cycle also has a role in the onset of infilling; some initial
basin locations are only able to begin accumulating N2 ice at certain points
during the obliquity cycle. We also explore the sensitivity of the coupled
model to albedo, initial obliquity, and Pluto's orbit.
