Placement of retroreflectors on the Lageos satellite

A model is presented for placing a large number of equal size holes in the surface of a spherical satellite. This problem differs from the classical mathematical problem of packing the maximum number of equal nonoverlapping circles on a sphere in that no hole can intersect the assembly joint at the satellite equator. The model was used during the design of Lageos to analyze the influence of the satellite diameter and hole size on the number of holes that could be placed on the satellite. The retroreflector placement pattern used in constructing Lageos was produced by the model.