We summarize the detection chronology of the multispectral aurorae of
Jupiter, and the gradual improvement of our understanding of the auror
ae. The aurorae have been sorted by wavelength of the auroral emission
: x-ray, ultraviolet, visible, infrared, and radio spectral regions. W
e present the morphology of the aurorae, where spatially resolved obse
rvations have been achieved. We next discuss the derived temperatures
of auroral regions, based on ultraviolet, near-infrared, and 10 mu m a
uroral spectra. In order to interpret observed intensities, structures
, and temperatures, models have been proposed by several authors. Thes
e models include electron/ion precipitations, chemical reactions, coll
isional processes, and radiative transfer processes. By comparing thes
e models with observations, particle precipitation processes and energ
y budgets have been inferred. We have compared Jovian auroral phenomen
a with those found in the observations of Earth. We briefly introduce
current theories of Earth's auroral particle precipitation/heating pro
cesses and plasma wave phenomena which may be similar to the processes
in Jupiter's aurorae. We describe aurorae on other Jovian planets, wh
ich were first revealed by planetary explorations and orbiting space t
elescopes. Plans for possible future investigation of these aurorae wi
th the Hubble Space Telescope, Galileo, and ground-based infrared tele
scopes are also presented.