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Next: 2. From Measured Spectra Up: Dispersion of electrostatic waves Previous: Dispersion of electrostatic waves

1. Introduction

On February 8, 1992, Ulysses crossed the Io plasma torus (IPT). That spacecraft carried Unified Radio and Plasma Waves (URAP) receivers [Stone et al., 1992a], including a low-frequency receiver sweeping the frequency range 1.25 to 48.5 kHz in 128 s with a resolution of 0.75 kHz. Many spectra were thus recorded which showed, between consecutive gyroharmonic frequencies, weakly banded emissions characterized by a large bandwidth and a low intensity, which varied smoothly in both time and frequency. All these spectra were modulated by the spacecraft spin in Jupiter's magnetic field. Since the onboard particle analyzers were turned off, these wave measurements are the only ones allowing us to obtain an in situ plasma diagnostics in the IPT. Moreover, the Ulysses trajectory was basically north to south in the IPT, and so most of these spectra were acquired over a large latitude interval (i.e., a distance from the torus equator in the range tex2html_wrap_inline1204 tex2html_wrap_inline1200 ) and a small variation (from tex2html_wrap_inline1208 to 8 tex2html_wrap_inline1200 ) of the Jovicentric distance. It is the first time one can get such in situ measurements, because previous spacecraft remained close to the equator at this distance to Jupiter (see [Hoang et al., 1993] for comparison between Ulysses and Voyager 1 data).
The above mentioned emissions have already been studied by [Meyer-Vernet, Hoang and Moncuquet, 1993], who interpreted them as quasi-thermal fluctuations in Bernstein waves and proposed to deduce the temperature from their apparent polarization. Bernstein waves [Bernstein, 1958] are electrostatic waves which propagate ideally without damping, perpendicular to the magnetic field tex2html_wrap_inline1202 ; their wavelength tex2html_wrap_inline1216 is of the order of tex2html_wrap_inline1218 times the electron gyroradius. Since the angular receiving pattern of an electric antenna is very sensitive to the wavelength tex2html_wrap_inline1216 when it becomes comparable to the antenna length L, the polarization measured with a spinning antenna is thus very sensitive to tex2html_wrap_inline1216 . The condition tex2html_wrap_inline1226 is realized in the IPT. [Meyer-Vernet, Hoang and Moncuquet, 1993] showed that this polarization shifts by tex2html_wrap_inline1228 for a certain value of the wavelength, which can thus be evaluated from the data, yielding the electron gyroradius and, from it, the electron temperature. Using that method, [Hoang et al., 1993] published temperature measurements with a 40% uncertainty.

In the present paper, we generalize that method: we no longer limit ourselves to measuring tex2html_wrap_inline1216 when the polarization shifts by tex2html_wrap_inline1228 . We systematically fit the antenna angular response to each full modulation period thus using many more of the available data and proving the self-consistency of our results. For each of about 80 available spectra, we obtain from 3 to 12 points on the dispersion curve of the electrostatic waves in the ambient plasma. Note that this method only uses one available dipole antenna, contrary to the usual methods of comparing the amplitudes on two different antennas [see [Filbert and Kellogg, 1988]] or making correlations between several wave components [see [Lefeuvre et al., 1992]].
Having measured the dispersion curves, we have to deal with two different situations. In the more common one, the local plasma frequency tex2html_wrap_inline1118 is measured independently [Hoang et al., 1993]. In that case, we can calculate the dispersion relation for Bernstein waves in a Maxwellian electron plasma of known density (appendix B). We then fit the solution of the theoretical dispersion equation to our experimental points with the electron temperature as the only free parameter which is thus determined to within 15 to 25%. The main purpose of this paper is to describe the new method of obtaining the electron temperature; we thus only show, without further discussions, the temperature obtained in the IPT. It is noteworthy that the good precision obtained with that method made possible a quantitative analysis of the IPT latitudinal variation: this is done in a related paper in which we propose new interpretations and constraints about the previous IPT models [Meyer-Vernet, Moncuquet and Hoang, 1995].
In the few cases when no measurements of the density are available, we have to fit the theoretical dispersion curves to our data points with two free parameters, the temperature and the density, which can then be estimated with an uncertainty of only 40 to 50%. Finally we discuss the physical relevance of our temperature determination, especially in the case of a non-Maxwellian velocity distribution.


next up previous
Next: 2. From Measured Spectra Up: Dispersion of electrostatic waves Previous: Dispersion of electrostatic waves

Michel Moncuquet
Tue Nov 18 19:18:28 MET 1997