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Published online by Cambridge University Press: 04 August 2017
We determine if the orbits of the galactic globular clusters can be circular, using a spherical logarithmic potential. If they are not, we calculate their perigalactic distances and we deduce a pseudo-eccentricity. Using a numerical and geometrical method, we obtain the minimum of all the possible pseudo-eccentricities for each cluster. The corresponding perigalactic distances are compared with the values given by Innanen et al. (1983) with a different method.