Polyaxial Figures of the Moon

This study investigates various models to represent the gross geometric shape of the Moon. Asymmetric polyaxial geometric modelsnamely three-, fourand six-axial lunar figure are compared and contrasted with the axially symmetric three-axis ellipsoidal model derived from Chang'e 1 and SELENE laser altimetry data. All solutions confirm a hydrostatically stable lunar shape shifted with respect to the lunar center of mass by topography. Model solutions with increasing complexity offer additional information about the regional properties of the lunar topography. Solution statistics suggest that axially symmetric lunar figures and their center of figure parameters can be replaced by an equivalent asymmetric lunar shape centered at the center of mass of the Moon. Thus, using only three shape parameters, one can derive an ``egg'' shape that better accommodates the true geometry of the Moon.