Relation of the secular decrease of brightness to the orbital elements of short-period comets

Secular variations in the absolute brightness of short-period comets were derived on the basis of their maximum apparent magnitudes in individual returns. The present paper deals with all the comets of Jupiter family observed by 31 Dec 1987 in three returns at least. P/Encke, investigated in detail by many authors /1–3/, has not been included. The sample contains 405 observed returns of 61 short-period comets. Relations of the secular fading to the orbital period, perihelion distance and also to the numerical eccentricity were found. Two independent methods of determination of aging of short-period comets, i.e. the secular fading and nongravitational parameters, are compared. The distribution of the values of the secular decreases of brightness is not in agreement with the trends in nongravitational effects. More probably, the observed secular decrease is connected with the apparent magnitude of the comet and with the influence of instrumental effects upon it.