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ABSTRACT

Cameron and Schneck 1965

Cameron, A.G.W., and P.B. Schneck, 1965: Density of matter assembled from randomly incident particles. Icarus, 4, 396-398, doi:10.1016/0019-1035(65)90043-6.

Hapke and Van Horn have shown that the remarkable photometric properties of the Moon can be reproduced from surface composed of small dark grains which have been able to fall together individually. Such grains halt upon contact and the resulting structures are underdense by factors of 7 to 10. An investigation has been carried out to find the effects on the structure density of variations, in the grains sizes and shapes, of their angles of incidence. Geometrical shapes representing grains were assembled into structures using Monte Carlo techniques and a computer. The ratios of bulk density to grain density were found to be: Uniform radius spheres, isotropic incidence 0.1136 Uniform radius spheres, vertical incidence 0.1380 Spheroids, vertical incidence 0.1476 Variable radius spheresm vertical incidence 0.1706 These numbers agree with the observed bulk densities of the structures prepared by Hapke and Van Horn.

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