By application of the Tsallis-2 entropy and additional constraints the entropic index q of the set of solar-system planets is calculated as q = 0.602. Confirmation of this value comes from the equation 1/(1 - q) = 1/alpha(min) - 1/alpha(max), where alpha(min), alpha(max) are the end-points of the f (alpha) curve of the system. This produces the approximation q = 0.608. For an entire planetary system, i.e. the central star-mass and the planet-masses, one can state that normally the entropic index is practically q = 1. (C) 2002 Elsevier Science Ltd. All rights reserved.