Abstract: This paper presents a new method to approach the problem of finding empirical curves in some cases, especially when the smoothness of the curves is of paramount importance and the equations of them are troublesome to be expressed in terms of known mathematical formulas.As an example, a smooth numerical model of a part of the observed trajectory of the Jupiter in the celestial sphere is given. Thus this method is to fit a smooth numerical model to the given data, instead of fitting a curve. Tha theoretical background of this method lies mainly in a theory called the method of sequence of circular rates which gives out some fundamental relations between a smooth curve and an arbitraty finite set of points lying on it. But some new ideas are also introduced to meet the purpose of the present paper.