The compensation state of 49 intermediate size (120 to 600 km diameter) lun
ar craters are investigated using the most recent spherical harmonic models
of the lunar topography and gravity, truncated at degree n = 110. The tota
l mass anomalies per unit area (i.e., the lateral variations of the vertica
lly integrated density perturbations per unit area) within an otherwise uni
form crust of 60 km thickness are determined such that, together with the s
urface topography, give rise to the model gravity anomalies. Crustal thickn
esses of 40 and 80 km are also considered, but the general results of this
study are not significantly affected. Excess mass anomalies are obtained by
subtracting from the total mass anomalies the mass anomalies that are requ
ired for the isostatic compensation of the surface topography. The excess m
ass anomaly of a crater denotes its particular state of compensation. Depen
dencies of the excess mass anomalies on crater location, size, and age are
investigated, but in general few discernable trends are evident. Although t
he vast majority of craters indicate some compensation, no correlation exis
ts between age or size and the state of compensation. Roughly 16% of the cr
aters show no compensation, and in some cases have mass deficiencies most l
ikely due to the shock fractured bedrock: the breccia lens of lower density
. The crust in these regions was likely cold and rigid enough at the time o
f impact to rigidly support the stress caused by crater excavation. These f
eatures are seen throughout different geological periods, demonstrating tha
t the lunar crust cooled quickly and strengthened soon after formation. A c
omparison of the compensation state of craters Apollo, Korolev, and Hertzsp
rung suggests that the thermal and mechanical properties of the crust prior
to impact had an appreciable effect on the compensation, and that crustal
thickness may be the single most important factor controlling the compensat
ion of intermediate size craters. The characteristics of the excess mass an
omaly profiles of the eight well-known near side mascon basins are used to
identify new mascon-like craters. Ten newly, found mascons are confirmed: H
umboldtianum, Moscoviense, Mendel-Rydberg, Lorentz, Hertzsprung, Korolev, S
chrodinger, Freundlich-Sharonov, Coulomb-Sarton, and Schiller-Zucchius, whi
le two more, Deslandres and Dirichlet-Jackson, are very plausible. These re
sults show that mare flow is not necessarily required to produce mascon-lik
e characteristics. (C) 2001 Academic Press.