We have searched for the hypothetical small comets proposed by Frank et al.
[1986a, b] and Frank and Sigwarth [1993] using the world's most powerful r
adar in terms of gain-aperture product. The Naval Space Surveillance System
can detect most space objects in low Earth orbit with radar cross sections
(RCSs) of 0.1 m(2) or larger; at higher altitudes of the order of 10,000-2
0,000 km the radar can detect objects with RCSs of 1 m(2). We carried out d
etailed first-principle calculations of the RCS of spherical comet using th
e properties proposed by Frank and Sigwarth [1993]. We find that 8-12 m dia
meter comets have an average cross section of 0.4 m(2) at the radar frequen
cy (217 MHz), with peaks reaching 1 m Therefore the Naval radar system has
sufficient sensitivity to detect many small comets, especially as they appr
oach low Earth orbit. We estimate that at least 800-5000 small comets shoul
d have been detected by the radar during the 37 day search period during fa
ll 1997. None of the more than 12,000 unidentified detections can be explai
ned by small comets. The lack of detection of small comets by the radar can
be explained only if small comets have RCSs <0.1% of their assumed physica
l size,(which is unrealistic, given that human technology can match this va
lue only by tailoring a design for a specific radar) or if their impact rat
e with Earth is some 4 orders of magnitude less than proposed by Frank et a
l. [1986a] and Frank and Sigwarth [1993].