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Of course,
we do not expect to deal with perfect spherical objects in the Kuiper belt,
while we need to model a random occultation with an isotropic diffraction
pattern (i.e. which does not show preference to any direction in the observation
plane). It is thus important to estimate the effects of an irregularly
shaped object on the diffraction pattern.
This study has been made by [Roques, Moncuquet and Sicardy 1987]
and the Fig.1(bottom) shows the diffraction pattern produced by an elliptical
object
(e=0.7 and with similar size to the circular case, see caption)
occulting a point star,
computed from the code defined in that paper. To generate an extreme
case, which could a priori smooth the
diffraction fringes, the limb of the object has been corrugated by
setting the ``irregularity'' parameter n to 3
[Roques, Moncuquet and Sicardy 1987, see for its definition ],
that is an object about 6% hilly.
Along the two axes of the ellipsoid, the diffraction fringes looks like those
of the circular object, while their structures are more complicated outward.
But, if we compare the projected contours of the top and bottom
of Fig.1, one can
see that these fringes are detectable, for a given
sensitivity threshold (4% here), at distances larger or roughly
equal to the distances where the fringes of the circular object are
detected. We think therefore that
using a circular object to compute the occultation lightcurve is a
good ``working compromise'' for modeling an occultation by a realistic
KBO.
Next: 3.2.2 Smoothing the occultation
Up: 3.2 Discussion
Previous: 3.2 Discussion
DESPA, Observatoire de Paris
2000-04-05