<p>We present a method for the estimation of the components &#958; and &#951; of the deflection of the vertical using several parameters of the gravitational potential. Specifically, we assume that we know the geodetic coordinates (&#966;, &#955;, h), the magnitude of gravity g, the components &#958;, &#951; and the second partial derivatives of the gravitational potential (elements of the E&#246;tv&#246;s matrix) at a point P. Knowing only the geodetic coordinates of a neighboring point A (at a distance up to several kilometers from P), we estimate the components &#958; and &#951; at A. The proposed method is evaluated with simulated data at several points in Greece. The results show that it may be used for the densification of a given astrogeodetic net.</p>