A thermal model that can be easily adapted to craters of arbitrary sha
pe is developed and applied to high-latitude impact craters on Mercury
and the Moon, Chao Meng Fu crater at -87.5 degrees L on Mercury, an u
nnamed bowl-shaped crater at 86.7 degrees L, on Mercury, and Peary cra
ter at 88.6 degrees L on the Moon. For an assumed input topography and
grid of surface elements, the model computes for each element the irr
adiation from direct insolation and reflected and emitted radiation fr
om other elements, taking into account shadowing by the walls of the c
rater, partial obscuration of the solar disk near the poles and the di
urnal, orbital, and seasonal cycles. Temperatures are computed over th
e surface grid as functions of depth and time from the surface to a sp
ecified depth and over the pertinent astronomical cycles, including th
e effects of direct and indirect surface irradiation, infrared radiati
on, heat conduction, and interior heating. Vapor fluxes and ice recess
ion times are computed as functions of ice depth over the surface grid
. Temperatures profiles, vapor fluxes, and ice recession times were co
mputed for flat surfaces not associated with craters near the poles of
Mercury and the Moon. It was found that water ice could have existed
throughout geologic time within the maximum radar detection depth of r
ecent observation of Mercury (J. K. Harmon and M. A. Slade, 1992, Scie
nce 258, 640-643) poleward of similar to 87-88 degrees L. on Mercury a
nd poleward of similar to 73 degrees L, on the moon. For Chao Meng Fu
crater it was found that similar to 40% of the crater floor is permane
ntly shadowed from direct solar insolation, while the remainder of the
crater floor is periodically illuminated by a partially obscured Sun.
Temperatures at the upper levels of the south wall can slightly excee
d 550 K. Surface temperatures in the permanently shadowed region of th
e crater floor are under similar to 130 K, which could have allowed wa
ter ice to exist throughout geologic time within the radar detection d
epth of recent observation of Mercury. For the small bowl-shaped crate
r on Mercury, it was found that most of the crater is permanently shad
owed from direct solar radiation, except for a narrow semicircular ban
d bordering the north rim. However, temperatures in the permanently sh
adowed region periodically reach a maximum near similar to 315 K due t
o efficient heating of the small crater by thermal emission and reflec
tion from the small sunlit region, which periodically reaches temperat
ures exceeding 630 K. Water ice could not have existed throughout geol
ogic time anywhere in this crater within the radar detection depth. Fo
r Peary crater on the Moon, the entire crater poor is permanently shad
owed from direct solar insolation with maximum temperatures under 120
K. The upper level of the north wall periodically reaches a maximum te
mperature near 310 K. The low temperatures on the crater floor would h
ave allowed water ice to exist near the surface throughout geologic ti
me, provided that the Moon's obliquity was always as low as it is at p
resent. (C) 1994 Academic Press, Inc.