L. A. FRANK, K. L. ACKERSON, J. A. LEE, M. R. ENGLISH, and G. L. PICKETT

Department of Physics and Astronomy, The University of Iowa, Iowa City, IA 52242, U.S.A

The plasma instrumentation (PLS) for the Galileo Mission comprises a nested set of four spherical-plate electrostatic analyzers and three miniature, magnetic mass spectrometers. The three-dimensional velocity distributions of positive ions and electrons, separately, are determined for the energy-per-unit charge (E/Q) range of 0.9 V to 52 kV. A large fraction of the 47 pi-steradian solid angle for charged particle velocity vectors is sampled by means of the fan-shaped field-of-view of 160 deg, multiple sensors, and the rotation of the spacecraft spinning section. The fields-of-view of the three mass spectrometers are respectively directed perpendicular and nearly parallel and anti-parallel to the spin axis of the spacecraft. These mass spectrometers are used to identify the composition of the positive ion plasmas, e.g., H⁺, O⁺, Na⁺, and S⁺, in the Jovian magnetosphere. The energy range of these three mass spectro-meters is dependent upon the species. The maximum temporal resolutions of the instrument for determining the energy (E/Q) spectra of charged particles and mass (M/Q) composition of positive ion plasmas are 0.5 s. Three-dimensional velocity distributions of electrons and positive ions require a minimum sampling time of 20 s, which is slightly longer than the spacecraft rotation period. The two instrument microprocessors provide the capability of inflight implementation of operational modes by ground-command that are tailored for specific plasma regimes, e.g., magnetosheath, plasma sheet, cold and hot torus, and satellite wakes, and that can be improved upon as acquired knowledge increases during the tour of the Jovian magnetosphere. Because the instrument is specifically designed for measurements in the environs of Jupiter with the advantages of previous surveys with the Voyager spacecraft, first determinations of many plasma phenomena can be expected. These observational objectives include field-aligned currents, three-dimensional ion bulk flows, pickup ions from the Galilean satellites, the spatial distribution of plasmas throughout most of the magnetosphere and including the magnetotail, and ion and electron flows to and from the Jovian ionosphere.

Although the first direct detection of the presence of plasmas in the vicinity of Io's orbit was reported by Frank et al. (1976) with measurements from the plasma analyzer on Pioneer 10, the first definitive measurements of Jovian magnetospheric plasmas were acquired during the Voyager flybys. The Voyager plasma observations were used to define the required capabilities for the Galileo plasma instrumentation. Briefly we summarize here the plasma domains of the Jovian magnetosphere. This information is largely taken from the review by Belcher (1983). For more recent work the reader is referred to further analysis of the torus ions (Bagenal, 1985; Bagenal et al., 1985), the torus electrons (Sittler and Strobel, 1987), and the middle magnetosphere (Sands and McNutt, 1988). Measurements of medium-energy charged particles, E approx. > 30 keV, are summarized by Krimigis and Roelof (1983).

The heart of the Jovian magnetosphere is the great torus of plasmas that encompasses the orbit of Io. This torus is fed by the ionization of neutral gases from Io's atmosphere and may respond to the sporadic injection of gases from this moon's volcanic activity.

The composition of the ion plasmas in this torus is rich in heavy ions, e.g., S⁺, O⁺, S2⁺, O2⁺, and Na⁺. The plasma torus is divided into two regimes, a cold torus inside Io's orbit and a hot torus at greater Jovicentric distances. The maximum ion densities, ~ 3000 cm^-3, are located near Io's orbit. The ion temperature decreases severely from ~ 40 eV at 6 R_J (Jovian radii) to ~ 1 eV at 5 R_J. This temperature decrease is due to radiative cooling. Ion temperatures in the hot torus at radial distances ~ 6 to 8 R_J are in the range of 40 to 100 eV. The electron temperatures can be described in terms of a two-temperature Maxwellian distribution, i.e., a cold and hot distribution. At the inner edge of the torus the electron temperatures decrease to ~ 0.5 eV with decreasing radial distances whereas the cold electron temperatures beyond ~ 6 R_J are typically ~ 10 to 100 eV. Characteristic temperatures of the hot electron velocity distributions are ~ 1 keV and the number densities are less than those for the cold electrons. The torus plasmas corotate with the planet. The corresponding corotational energy of an S⁺ ion is 960 eV at equatorial radial distance 6 R_J. The deflection of plasma bulk flow near the Io flux tube is consistent with that expected for incompressible flow around a cylinder and is evidence for an Alfven wave associated with the plasma flow past Io. The estimated current in the Io flux tube is ~ 3 x 10⁶ A, presumably carried in large part by electrons.

At distances beyond the plasma torus, > 10 R_J, a plasma sheet extends to the dayside magnetopause. At 15 R_J the typical thickness of the plasma sheet is ~ 2 R_J. These plasmas are observed to corotate more-or-less rigidly with Jupiter's rotational motion to radial distances of about 20 R_J. At distances of 20 to 40 R_J this azimuthal bulk speed of the plasma is less than that expected from rigid corotation by factors of 2 or more. Beyond 40 R_J the plasmas are again observed to rigidly corotate at frequent times as inferred from measurements with the medium-energy charged particle detector. The corotational energy of an S+ ion at 40 R_J is 43 keV. Whereas the density of the hot electrons is only ~ 1% of the total density at 8 R_J, the hot electron density is similar to that for the cold electrons at 40 R_J. Ion temperatures are also higher in the plasma sheet relative to those in the torus, ~ 20 to 40 keV at radial distances 30 to 100 R_J. Plasma densities in the plasma sheet are ~ 1 to 10 cm^-3 at 10 to 20 R_J and vary from ~ 10^-3 to 1 cm^-3 at larger radial distances. Above and below the plasma sheet the densities can be as low as 10^-5 to 10^-4 cm^-3.

Beyond radial distances of 130 R, in the dawn side of the Jovian magneto-sphere the ion bulk flows become generally anti-sunward with a strong component along directions that are radially outward from the planet. This region was detected with the medium-energy charged particle detector and is called the magnetospheric wind.

The Galileo Mission advantages for plasma investigations in the Jovian magneto-sphere are (1) the spinning section of the spacecraft, (2) an instrument micro-processor to restructure the instrument operation by ground command, and (3) a series of orbits that allow close flybys of the Galilean satellites, a survey of the Jovian magnetotail, and a substantial local-time survey of the magnetosphere. The spinning section of the spacecraft provides the important capability for a suitably designed instrument to view the entire 47 pi-steradian solid angle for particle velocity vectors at the spacecraft position. The instrument microprocessor can be used to tailor the operation of the plasma instrument for the most effective measurements in each of the diverse plasma regimes of the magnetosphere and its environs, e.g., magnetosheath, plasma sheet, satellite wake or flux tube, or magnetospheric wind. Targeted encounters with the satellites and a tour of the magnetosphere and magnetotail offer exceptional opportunities for studies of most of the important plasma regions and their temporal responses to variations of Iogenic and solar wind plasmas, and the interactions of magnetospheric plasmas with the satellites.

The Galileo plasma instrumentation (PLS) is substantially more capable for measurements of the Jovian plasmas than those of the Pioneer and Voyager spacecraft because it is specifically designed for this purpose. The basic advantages are in the performance areas of (1) extended energy range, (2) coverage of the angular distributions of plasmas, (3) angular resolution, (4) temporal resolution, and (5) ion composition.

The energy-per-unit charge ranges of the Pioneer and Voyager plasma instruments are 100 to 4800 V and 10 to 5920 V, respectively. The corresponding range of the Galileo plasma analyzer is 0.9 to 52000 V. This extended energy range spans the important energy gap between 5920 and 30000 V in the combined performances for the Voyager plasma instrument and medium-energy particle detectors. The 47 pi-steradian solid angle for particle velocity vectors at the spacecraft position is sampled adequately to provide determinations of the three-dimensional velocity distributions for positive ions and electrons. Thus such important plasma parameters as field-aligned currents, cross-field currents, plasma bulk flow velocities, heat fluxes, and free energy are to be determined for the first time with the Galileo instrument. The angular resolution is sufficient to provide definitive measurements of the above plasma parameters. Temporal resolutions for obtaining electron and positive ion spectra are about 200s for the Pioneer analyzer (ions only) and about 100s for the Voyager Faraday cups. The corresponding temporal resolution for the Galileo plasma analyzer is about 0.5 s; complete three-dimensional velocity distributions for positive ions and electrons can be telemetered once each 20 s. These improved temporal resolutions are particularly important during the brief encounters with the satellites and the traversals of plasma boundaries such as those of the plasma sheet and current sheet in the middle and outer magneto-spheres.

Three miniature mass spectrometers which are positioned at the exit apertures of the electrostatic analyzers in the Galileo instrument provide determinations of the positive ion composition. The Voyager determinations of ion composition from E/Q spectra are model-dependent and are possible when the Mach number of the corotational flow is greater than 5 or 6. This method is acceptable generally near the Io orbit but as the Jovian radial distance increases, ion thermal speeds rapidly increase and prevent decisive identification of ion species. The Galileo mass spectrometers provide a direct determination of ion composition, specifically the mass-per-unit charge.

In addition to the above performance features, the Galileo plasma analyzer can be operated flexibly via electronic reconfiguration by ground command. The operational configuration of energy-per-unit charge (E/Q) passbands, mass-per-unit charge (M/Q) channels, sensors, and angular sectors can be tailored for a specific plasma region. The temporal resolution for a given measurement can also be selected. The Galileo plasma analyzer is equipped with sufficient onboard hardware and software to implement automated beam capture modes for ion velocity distributions and for determination of ion composition.

The capabilities of the Galileo plasma instrumentation are demonstrated here by application to several plasma regimes in the Jovian magnetosphere.

As the Galileo spacecraft crosses the plasma sheet in the middle and outer magnetospheres the magnitudes of field-aligned and cross-field currents are determined. Their values and location are correlated with the position of the current sheet as found with the magnetometer. The motions of the plasma sheet are directly determined from the three-dimensional bulk flow vector and the azimuthal component is separated from the radial outflow or inflow. Angular distributions and ion compositions are examined in order to discern the contributions of electrons and ions from the ionosphere, the solar wind via the magnetosheath, and Io in the inner magnetosphere. Thus the formation and dynamics of the plasma sheet can be understood. The mechanism for the unusual heating of plasma with increasing radial distance is expected to be identified.

The encounters with the Galilean satellites offer exciting opportunities for observing plasma phenomena. Examination of the ion velocity distributions in the wakes of these satellites is used to determine the mechanism for ion loss from these bodies. The effectiveness of ion pickup by the magnetospheric plasma flow is derived from the signatures in the velocity distributions of these ions. The mass spectrometers are used to identify the major ions produced in the vicinity of the satellite. For Io these ions include O⁺, S⁺, and SO₂⁺, and for icy satellites perhaps H⁺, C⁺, and H₂O⁺ can be found. Such measurements give the rate of mass loss from each satellite. Perturbations of the plasma flow can be identified in terms of the conductivity of the satellite. During the closest satellite encounters it is possible that a magnetopause or ionopause is detected, thus providing further information concerning the magnetic and atmospheric properties of that body. If the flyby of the satellite is polar, detection of strong field-aligned currents to and away from the Jovian ionosphere might be expected. Field-aligned acceleration of ions and electrons by electrostatic double layers or anomalous resistivity is possible. The relative contributions of the various Galilean satellites for providing the ions in the plasma torus and sheet are assessed during the encounters.

The substantial periods of time that the Galileo spacecraft is located in the plasma sheet offer the unique opportunity to view the responses of the Jovian magnetosphere to the volcanic activity on Io. If specific Io volcanic eruptions can be identified with temporal fluctuations in densities, composition, and motions of the plasma sheet, remarkable advances in our knowledge of the transport of mass and momentum in the Jovian magnetosphere are envisioned.

Simultaneous observations of three-dimensional plasma velocity distributions and of plasma waves with the Galileo spacecraft allow the first studies of wave-particle interactions in the wide-ranging types of plasmas in the Jovian magnetosphere. A discussion of measurements of plasma waves during the Voyager encounters has been given by Gurnett and Scarf (1983). For example, the velocity distributions of ions can be examined to determine whether or not resonant acceleration by ion-cyclotron waves is an important mechanism for ion heating in the torus and plasma sheet. Further the amplitudes of broadband electrostatic noise can be compared with plasma velocity distributions to determine the importance of the anomalous resistivity in plasma heating. Free-energy sources, e.g., ring distributions in the electron velocity distributions, for the generation of electron cyclotron or upper hybrid waves may be identified and related to the wave amplitudes observed with the plasma wave instrument. In general the direct measurement of the plasma density and other parameters gives the growth, propagation and resonance conditions for plasma waves in wave-particle interactions. Thus the mechanisms for providing Jupiter with intense radio sources and particle precipitation into the auroral ionosphere can be further understood.

The existence of the magnetospheric wind at radial distances > 130 RJ in the dawn sector of the magnetosphere offers exciting goals for the orbit into the distant magnetotail. The origins of this wind are unknown. It is possible that the magnetospheric wind develops near the Alfven point, where the corota-tional speed is equal to the Alfven speed. The actual position must be determined from considerations of the tangential stress balance (cf. Vasyliunas, 1983). Thus magnetic bubbles could be slung radially outwards into the magne-totail. The low pressures in the magnetotail would produce super-Alfvenic radial outflow. On the other hand, the outflow wind might be thermally powered by the hot plasma in the plasma sheet inside the Alfven point. A third possibility is that the magnetospheric wind is the signature of reconnection of magnetotail lines in a convection pattern controlled by dayside magnetic merging rates. The response of the magnetotail to fluctuating internal plasmas, e.g., Iogenic plasmas, or to a varying solar wind are unknown. In the magnetotail characterized by spectacular, explosive activity or a mere quiescent outflow of plasmas? The exploratory orbit into the magnetotail will indeed answer many questions concerning the origins and dynamics of this immense and little understood plasma region.

Fig. 1. An exploded view of the electrostatic analyzers, miniature mass spectrometers, and sensors of the plasma instrumentation (PLS) for the Galileo Mission.

A pictorial view of the plasma instrument (PLS) is shown in Figure 1. The instrument is divided into two analyzers, A and B. Each electrostatic analyzer comprises three 70° spherical-segment plates. The outer and inner plates are grounded and the center plate is supplied with a programmed series of voltages to effect analyses of the energy spectra of electrons (E) and positive ions (P). The inner and outer channels between the plates are the positive ion and electron analyzers, respectively. A charged particle successfully passes through the channel on the basis of its energy-per-unit charge (E/Q). Continuous-channel electron multipliers, or Spiraltrons, are employed as sensors and are positioned at the exit apertures of the electrostatic analyzers. Charged particles arrive at positions at the exit aperture according to their direction of arrival at the entrance aperture. The analyzers are mounted on the instrument (magnetometer) boom of the spacecraft such that charged particles moving perpendicular to the spacecraft spin axis arrive at sensors 4E and 4P, and particles generally moving parallel and anti-parallel to the spin axis are detected with sensor pairs 7E, 7P and 1E, 1P, respectively. Thus the fan-shaped fields-of-view are divided into segments by the use of multiple sensors. The instantaneous fields-of-view for the seven ion sensors as projected onto the unit sphere for velocity vectors are shown in Figure 2. Rotation of the spacecraft spinning section allows coverage of almost the entire unit sphere and angular distributions are obtained by electronically sectoring the sensor responses as a function of spacecraft rotation angle. The angular sampling of electron velocity distributions is similar. The instrument is placed at a sufficient distance out along the boom to avoid obstruction of the fields-of-view by the large dish antenna of the spacecraft.

Fig. 2. The instantaneous fields-of-view for the seven positive ion sensors as projected onto the unit sphere. Rotation of the spacecraft spinning section provides coverage of 80% of the unit sphere for ion velocity vectors. The coverage of this solid angle with the seven electron sensors is similar.

Three miniature mass spectrometers are included in the instrument for determining the composition, i.e., mass-per-unit charge (M/Q), of the positive ion plasmas. As shown in Figure 1 two of these mass spectrometers are positioned at the exit aperture of electrostatic analyzer B, the third spectrometer is in analyzer A. Each of these mass spectrometers is equipped with two Spiraltrons as sensors and an electromagnet. One of these sensors is placed behind the electromagnet such that it accepts ions not deflected by the gap magnetic field. These 'integral flux' sensors are shown as 1MI, 2MI, and 3MI. The second sensor in each mass spectrometer is displaced from the undeflected path and accepts ions with M/Q values that are a function of the gap magnetic field. These 'differential flux' sensors are 1MD, 2MD, and 3MD. A programmed series of currents is fed to the electromagnet. If the polar angle is taken as 0°. in the direction of the spacecraft spin axis, then the fields-of-view are 11° - 38°, 87° - 93°, and 142° - 169° for spectrometers 1, 2, and 3, respectively. The instantaneous fields-of-view of the three mass spectrometers as mapped onto the unit sphere are shown in Figure 3.

Fig. 3. The instantaneous fields-of-view for the three mass spectrometers as projected onto the unit sphere.

The aperture cover shown in Figure 1 serves two purposes. Prior to and during launch the cover in its closed position prevents contamination of the sensors from dust and condensable vapors. After the launch sequence, the cover is opened and is employed to tailor the fields-of-view of the sensors viewing at small angles to the spin axis of the spacecraft. The corresponding obstructions are identified as shapers in Figure 1. A photograph of the Galileo plasma instrument is shown in Figure 4, along with a 6-inch ruler. The aperture cover has been opened to show the two arc-shaped openings that are the entrance apertures for the two analyzers, A and B. A thermal blanket is yet to be installed around the instrument.

Fig. 4. Photograph of the plasma instrument. The two arc-shaped openings are the apertures for the two sets of electrostatic analyzers. A 6-inch ruler is shown for comparisons.

5.1. ELECTROSTATIC ANALYZER

The spherical-segment analyzer plates are precision-machined from solid blocks of magnesium. The radii of the inner and outer surfaces, respectively, of the four electrostatic analyzers are 9.68 and 9.95, 10.08 and 10.36, 11.77 and 12.10, and 12.23 and 12.57 cm. These plates are concentric. Thus the analyzer constant C ~ 18.2, where E/Q = CV and V is the plate voltage. The angle from the center of the entrance aperture to the exit aperture of the analyzer is 70° as referenced to the common center of curvature. Each of the concave surfaces within the analyzers has been machined with 140 saw-tooth serrations. The interior surfaces of the analyzer plates have been also electrodeposited with platinum black over gold electroplate. The two latter measures are taken in order to suppress the scattering of ultraviolet radiation and charged particles within the analyzers into the sensors. The entrance aperture is 60°. wide. Because the entrance aperture is wide in order to provide good angular coverage in spacecraft latitude (see Figure 2), the fields-of-view shapers are used on the protective cover to limit excessive spreading in the azimuthal direction for the polar sensors. The center plate of each analyzer pair is supplied with voltages ranging from 0.05 to 2880 V in order to provide energy (E/Q) spectra of positive ion and electron intensities. The E/Q range is 0.9 eV q^-1 to 53 keV q^-1. There are 64 plate voltages that cover this energy range in logarithmically equal increments. The averaged full-width at half maximum responses (FWHM) of the ion and electron passbands are equal, DELTA E/E = 0.11. The range and sequence of plate voltages can be selected by ground command.

A total of seven sensors are used for the two electron analyzers, and seven for the two positive ion analyzers. These continuous channel multipliers are Spiraltrons, model SEM 4211 with 1-mm diameter apertures and model SEM 4213 with 3-mm diameter apertures, manufactured by Galileo Electro-Optics Corporation. Entrance apertures of these sensors are positioned at a distance 16 mm from the exit aperture of their respective electrostatic analyzers. The Spiraltrons with larger apertures are used for the two ion sensors that view closest to the spin axis of the spacecraft, i.e., the polar sensors, in order to offset the reduced projected area of the entrance aperture. The sensors are screened for stability by operation for ~ 2 x 10⁹ accumulated counts at a gain > 10⁸. Grounded mesh screens are mounted in front of the entrance apertures of the sensors to shield the sensor post-acceleration electric fields for the prevention of the collection of secondary charged particles produced in the interior of the instrument. The post-acceleration voltage for the ion sensors is approximately the bias voltage, and about +150 V for the electron sensors. The nominal gain of the Spiraltrons is 5 x 10⁷ to 3 x 10⁸ in the saturated pulse counting mode. The output charge is collected by small plates and the collection efficiency is improved by a potential difference of about 120 V for the electron sensors and 200 V for the ion sensors. This charge is received by hybrid amplifiers and discriminators manufactured by AMPTEK Inc., model A101. The threshold for these amplifiers was conservatively set at 4 x 10⁶ electrons. The high voltage for sensor bias is programmable by ground command in 32 increments spanning the range 2200 to 3800 V in order to maximize the operating lifetime of the sensors against degradation by using the minimum charge per pulse. The pulse pair resolution of the amplifier/discriminator is nominally 250 ns (4 MHz), and about 1.4 micro-second (700 kHz) after modification for use in the instrument.

5.2. MINIATURE MASS SPECTROMETERS

Three miniature mass spectrometers are included in the plasma instrument, one spectrometer in analyzer A and two spectrometers in analyzer B as shown in Figure 1. A more detailed diagram of one of these small mass spectrometers is shown in Figure 5. After passage through the electrostatic analyzer the positive ions enter two collimating slits. The dimensions of the first slit are 11.1 x 0.15 mm and for the second slit, 8.5 x 0.15 mm. These two slits are separated by 9.5 mm. The paths of the positive ions are then deflected according to their M/Q by the magnetic field in the gap of a small electromagnet. The gap dimension is 3.0 mm and the length and width of the pole pieces are 9.9 and 4.0 mm, respectively. The magnet core is fabricated from a material similar to HY MU 80 and wound with about 5000 turns of 33½-gauge silver wire. Overlapped sheets of Permalloy 80 with thickness 0.010 inch are used to encase the plasma instrument to reduce the maximum stray field to 16 nanotesla (nT) at a distance of 1 m. The mass of the electromagnet is 150 g. The electromagnet is supplied with a programmed series of 64 currents ranging from 0.6 to 105 mA. The sequence of current values can be controlled by ground command. The corresponding range of gap magnetic fields is 0.0014 to 0.225 T. The ions are detected with two Spiraltrons, one Spiraltron (integral) with a 1-mm aperture for undeflected ions, and one Spiraltron (differential) with a 3-mm aperture that is offset from the path for undeflected ions. The magnet is non-focusing and the 3-mm aperture Spiraltron is used to achieve approximately equal geometric factors for the differential and integral channels. The sensor apertures are positioned at a distance 20.1 mm from the exit face of the electromagnet. A slit with width 0.76 mm is placed in front of each of the two Spiraltrons. The centers of these slits are separated by 3.30 mm. The Spiraltrons are operated in a similar manner as previously described for the sensors for the electrostatic analyzers.

Fig. 5 . Configuration of one of the three miniature, magnetic mass spectrometers in the plasma instrument.

Fig. 6. Calibration of a miniature mass spectrometer with an ion beam (H₂⁺, OH⁺). The unresolved water group (O⁺, OH⁺, H₂0⁺) is designated as OH⁺. The beam energy is 947 eV and the beam current is constant. The responses of the integral and differential channels are shown as a function of electromagnet current (mass channel). The current increases by a logarithmically equal increment for each mass step.

An example of the mass spectrometer performance taken from laboratory calibrations of the flight instrument is shown in Figure 6. The value E/Q is 947 V for the two ions in the beam, H₂⁺ and OH⁺. The sweeping of the ions from the integral sensor as a function of M/Q and mass channel (magnet current) is clearly evident. At higher mass channels (larger current) these ions are deflected sufficiently to be detected with the differential sensor. A summary of the measured performance of the miniature mass spectrometer as functions of M/Q, E/Q, and electromagnet current is given in Figure 7. The M/Q value for the integral sensor is taken at a fraction 0.5 of the undeflected responses. For a given current step of the mass spectrometer, the averaged FWHM for the three mass spectrometers in terms of ion energy is DELTA E/E = 0.06. In general the differential channel is used for the detection of trace fluxes of light ions and the integral channel for abundant heavy ions in the Jovian magneto-sphere. The mass resolutions of the mass spectrometers are M/DELTA M = 4.1 at full-width at 50% responses (FWHM) for the differential sensors (MD) and M/DELTA M ~ 2 for the integral sensors (MI). This resolution has been chosen to allow identification of the species H⁺, H2⁺ (He⁺⁺), He⁺, O⁺⁺, O⁺, Na⁺, S⁺, and K⁺ with the MD sensors and H⁺, H₂⁺ (He⁺⁺), O⁺⁺, O⁺, S⁺, and SO2⁺ with the MI sensors. The E/Q ranges vary with the M/Q of the ion species, e.g., for the MD sensors, 0.9 V to 20 keV for H⁺, 0.9 V to 3 kV for O⁺, and 0.9 V to 800 V for S⁺. For the MI sensors, these ranges are 10 V to 52 kV for H⁺, 0.9 V to 52 kV for O⁺, and 0.9 V to 14 kV for S⁺. The mass spectrometers cannot distinguish between two ions with the same M/Q, e.g., O⁺ and S⁺⁺. The mass spectrometers are designed in part with the criterion that corotating SO₂⁺ (M/Q = 64 amu, E/Q ~ 2 kV) can be identified at Io's orbit.

5.3. GEOMETRIC FACTORS

A summary of the latitudinal coverage, energy resolutions, and geometric factors of each of the twenty sensors in the plasma instrument is given in Table I. The averaged geometric factors for the electron and positive ion sensors of the electrostatic analyzers and the positive ion sensors of the mass spectrometers are 3.4 x 10^-5, 6.4 x 10^-5, and 3.2 x 10^-6 cm² sr eV eV^-1 , respectively.

Fig. 7. The relationship of energy-per-unit charge (E/Q), mass spectrometer current, and mass-per-unit charge (M/Q) for the detection of positive ions with the miniature mass spectrometers. The E/Q value is 960 V for a corotating S⁺ ion at equatorial radial distance 6 R_J, in the Jovian magnetosphere.

These values are computed by comprehensive ray tracing of trajectories through the electrostatic and magnetic analyzers and with the nominal entrance area of the sensor. In practice both the efficiency and this area vary with individual sensors and final values of the geometric factors are derived from laboratory measurements and inflight responses in an isotropic plasma such as that in the plasma sheet during Earth 1 encounter. These geometric factors are tailored to provide effective measurements of both the dense plasmas in the torus and the sparse plasmas of the outer Jovian magnetosphere.

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Sensor       Polar angle         Energy resolution,       Geometric factor**,
             coverage, theta     DELTA E/E at FWHM        cm2 sr eV eV-1
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Electrons
   Energy range: 0.9 V <= E/Q <= 52 kV

1E            14°-41°             0.14                  1.9 x 10-5
2E            38°-62°             0.12                  3.7 x 10-5
3E            58°-80°             0.10                  4.1 x 10-5
4E            81°-102°            0.08                  5.0 x 10-5
SE           100°-122°            0.10                  4.1 x 10 5
6E           121°-146°            0.12                  3.6 x 10-5
             142°-171°            0.14                  1.3 x 10-5

Positive ions
   Energy range: 0.9 V <= E/Q <= 52 kV

IP*            9°-41°             0.15                  9.8 x 10-5
2P            35°-59°             0.12                  3.5 x 10-5
3P            62°-84°             0.09                  4.1 x 10-5
4P            78°-99°             0.07                  5.0 x 10-5
5P            97°-119°            0.09                  4.0 x 10-5
6P           118°-141°            0.11                  3.6 x 10-5
7P*          136°-166°            0.15                  1.5 x 10-5

Ion composition
   Energy range: species dependent

   Differential (D) sensor: 0.9 V to 20 kV (H+)
                            0.9 V to 800 V (S+)
                  Resolves: H+, H2, He+, O+, Na+, S+, K+ with M/DELTA M = 4.1

       Integral (I) sensor: 10 V to 52 kV (H+)
                            0.9 V to 14 kV (S+)
                  Resolves: H+, H2+, He+, O+, S+, SO2+ with M/DELTA M  ~ 2.0

1MD*, 1MI    11°-38°             0.03                  2.4 x 10-6
2MD*, 2MI    87°-93°             0.03                  4.7 x 10-6
3MD*, 3MI   142°-169°            0.03                  2.4 x 10-6
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* 3-mm entrance diameter, others are 1 mm.
** Preliminary values based upon ray tracing (see text).