Observations of elliptically polarized bursts of decametric radio emis
sion from Jupiter with axial ratios of the polarization ellipse 0.2 le
ss than or similar T less than or similar 0.7 imply emission at angles
45-degrees- less than or similar theta less than or similar 80-degree
s to the magnetic field. Emission at oblique angles less than or simil
ar 60-degrees is not expected in the conventional theory of electron c
yclotron maser emission. It is argued that electron cyclotron emission
at a given theta requires electrons with parallel velocity concentrat
ed around upsilon(parallel-to) = upsilon cos alpha = c cos theta. A me
chanism is proposed that might produce an appropriate ''spiraling beam
'' distribution, with a peak in velocity space at speed upsilon = upsi
lon0 and pitch angle alpha = alpha0 not-equal 0.