JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 91, NO. A10, PAGES 10,989-10,994, OCTOBER 1, 1986 The Centrifugal Flute Instability and the Generation of Saturnian Kilometric Radiation S. A. CURTIS, R. P. LEPPING,AND E. C. SITTLER,JR. Laboratoryfor ExtraterrestrialPhysics,NASA GoddardSpaceFlight Center,Greenbelt,Maryland We showthat the sourceregionfor Saturniankilometricradiation (SKR) whichoriginatesin the high latitude near-noondaysideionosphericcan be mappedvia the Saturn magneticfield to the outer edgeof the daysideequatorialplasmasheet. The plasmasheet is known to be unstableat this boundarydue to the outward centrifugalforcesgeneratedby the heavily mass-loadedequatorial Saturnian magnetosphere. Also previouswork has shown that Voyager 1 observationsof MHD wavesnear the plasmasheetare consistentwith their beingdriven by the centrifugalflute instability.The resultingfield-alignedMHD wavesat higher latitudescan trap and accelerateelectrons.For the plasma environmentmeasuredby Voyager,field-alignedacceleratedelectronsup to energiesof severalkeV are expectedto be deposited into the SKR ionosphericsourceregion. A necessarycondition for the accelerationof the electronsto severalkeV is a populationof hot electronsinsideof the plasmasheet, near the unstableboundary.The hot electronsare producedas a byproduct of the pick-up of exosphericatoms from Saturn'smoons.The solar wind dependenceof the SKR is thus a consequenceof the elongationof the Saturn nightside magnetosphere with greatersolar wind pressureleadingto greatercentrifugalpressures on the nightside plasmasheet. Although the theory presentedcorrectlygivesthe local time dependenceof the emissions, we suggestthat the strong emissionpeak at a fixed Saturnianlongitudeis a consequence of locally reducedelectron plasma frequencyto electron gyrofrequencyratio. The lack of a nightsidesourceof SKR is consistentwith the disruption of the plasmasheetdue to loss of plasma down the Saturn magnetotail. INTRODUCTION The analysisof plasma measurementsby Voyager 1 in the dayside near-equatorial plasmasheetby Sittler et al. [1983] have shown that beyond the innermostboundary of the outer part of the plasmasheetR • 16 Rs there exist a number of detached plasma regions. These dense flux tubes have the plasma density and temperaturecharacteristicsof the plasmasheetand are separatedby regionsthat are more rarefied and considerablyhotter. The Saturn magnetosphereis obviously internally mass- flute instability. A consequenceof this instability processwill be the generation of MHD waves. Near the equatorial plane the MHD wavesare expectedto be primarily azimuthalin direction,whereas at higherlatitudesthe waveswouldbe primarily field-aligneddue to the finite extentOf the plasmasheet in latitude. Thus the magnetic field-plasma interchange occurring in the plasmasheetgives rise to an impulselike dis- placementof the field lines which can then propagateto higher latitudes. It is precisely this morphology of magnetic field fluctuation which is consistentwith MHD w•ves which loaded,althoughthe sourceof this plasmaremainscontro- has been reported by R. P. Lepping et al. (unpublishedmanuversial and will probably require a comparativeanalysisof script, 1986) from an analysis of low-frequency oscillations in outer planet magnetospheresto resolve [Chen•l and Hill, the magnetic field observedon the inbound encounter trajec1984], and sincethe systemis a rapid rotator with a period of tory of Voyager 1. The MHD waves are found to be primarily little over 10 hours, centrifugaleffectsmay be expectedto be azimuthal in propagation direction near the equator in the important in the outer parts of the magneotsphere.Specifi- plasmasheet. In contrast, at higher latitudes the waves are cally, by analogywith Jupiter,the nightsideplasmasheetis very likely to be unstableto processesthat led to plasma loss down the tail [Hill and Dessler, 1976; Goertz, 1976]. The sharp edgeat the stability boundarycreatedby this losswill steepenas it is rotated toward the daysidenoon meridian.The steepeningwill be both a consequence of the compressionof dayside field lines as well as additional mass-loadingdue to photoionization throughout the magnetosphereand electron impact ionization, beyond 5 Rs, of neutrals emitted by the magnetosphere'sinner sourceswhich may include the Saturn ionosphere,the rings,the icy satellites,and perhapspart of the Titan torus. The steep dayside density gradient at the outer boundary of the plasmasheetcoupled with the centrifugal force experiencedat that location has been shown to be unstable by Goertz [1983]. By usingtheory developedby Mikhailovski[1976] for plasmasin a gravitational field and by noting that the centrifugal force gives rise to an effective gravity, Goertz has shown the outer plasmasheetboundary to be unstable to an interchangeinstability known as the centrifugal Copyright 1986 by the AmericanGeophysicalUnion. Paper number 6A8462. 0148-0227/86/006A-8462505.00 primarilyfield-aligned iri propagationdirection.As wouldbe expectedfor thesewavesbeing driven by the centrifugalflute instability, the wave amplitudesare greatestnear the dayside equatorial plasmasheetouter boundary. The field-alignedMHD wavesmay be mappedinto the high latitude ionosphere using the Saturnian magnetic field Z3 model of Connerneyet al. [1983, 1984a, b]. This model has shownitself to possessa high .degreeof accuracyand has even proved usefulin diagnosingsystematicinstrumentalerrors on other spacecraft that have encountered the Saturn system [Connerneyet al. 1984a, b]. Using the Z3 model, along field lines to the planetary surface,we can map the noon meridian outer edgeof the plasmasheetto approximately76øN latitude, very near the most probable SKR sourcelocation as deduced from Voyager observationsby Kaiser and Desch [-1984]. The ionospheric source location deduced by Kaiser and Desch [1982] is thus consistentwith a free energy source located on closedfield lines which contain the outer plasmasheetboundary. The overall mapping of the high latitude radio emission source region to the equatorial plasmasheet boundary is shown in Figure 1. Another interestingaspectof the Voyager radio emissionobservationsat Saturn was the strong peaks in the emissionswhen the 115ø SLS (Saturn longitude system) line passesthrough the noon meridian [Kaiser et al., 1984]. 10,989 10,990 CURTIS ET AL.' CENTRIFUGALFLUTE INSTABILITYAND SKR SATURNIAN KILOIvlETRIC RADIATION SOURCE REGION uv AURORA MAGNETIC FIELD POLAR CAP •:•øN NOON MERIDIAN z (Rs) o KILOMETRIC RADIO SOURCE DETACHED PLASMA EXTENDED PLASMA SHEET EXTENDED PLASMA R D T EM INNER E RING PLASMA TORUS ME T INNER PLASMA TORUS D SHEET NEUTRAL HYDROGEN CLOUD R E RING PLUMES HOT OUTER MAGNETOSPHERE HOT OUTER MAGNETOSPHERE NOON DAWN Fig. 1. Combined results fromthedataof theVoyagerPlanetary RadioAstronomy experiment [KaiserandDesch, 1982],fromthe Magnetometer [Connerney et al., 1983]andthePlasmaScience instrument [Sittieret al., 1983]which showsthemappingoftheSKR sourceregionto theunstable edgeoftheequatorialplasmasheet. This strong emissionpeak existsin the absenceof any apparent magnetic anomaly in the near surfacefield [Connerneyet al., 1984]. There have also been detailed studies performed indicating that the solar wind exerts a strong control over the generationof SKR [Desch,1982, 1983]. Another magnetospherewith even stronger internal plasma sourcesis that of Jupiter. Jovian kilometric radiation has two components: narrow bandwidth kilometer wavelength emission (nKOM) and broad bandwidth kilometer wavelength emission(bKOM) [Kaiser and Desch, 1984]. Both have spectral peaks at the same wavelengths,but have different source locations. The nKOM radiation appear to originate in the outer edgeof the Io plasmatorus near the magneticequatorial plane. In contrastbKOM originateseither within the Io torus or at low altitudes in the auroral zone at L = 6. In addition, there is a decameter wavelength emission (DAM) which is Io-associated and appears to come from the magnetic flux tube linking Io and the Jovian ionosphereat L = 6 [Kaiser and Desch,1984]. Two immediate differenceswith respectto the Saturn magnetosphereare the much stronger plasma sourcefrom Io comparedto any in the Saturn systemand the much stronger magnetic field at Jupiter which is about 20 times that of Saturn at the equatorial 1 bar level. With the higher Jovian magnetic field, shorter wavelength radiation CURTISET AL.' CENTRIFUGAL FLUTEINSTABILITYAND SKR such as DAM is expectedgiven the abundance of free energy sources [Goldstein and Goertz, 1983; Hill et al., 1983]. For comparisonwith Saturn our interest is primarily in the kilometer wavelengthrange, however. Since the centrifugalflute instability is believed to the operative at the Io torus outer edge [Hill, 1976], it is tempting to compare nKOM generation with SKR generation. The confinement of the emission to the magneticequatorial region at Jupiter as opposedto the auroral zone at Saturn may possibly be related to the much high densitiesin the Io torus at L - 6 comparedto the Saturn magnetosphereat L - 16. The bKOM radiation appearsto be related to the Io-Jovian ionosphereinteraction at L- 6 and would most likely involve a different mechanismthan the centrifugal flute instability generatingsurfaceMHD waves.Since the locations of the Jovian kilometric sources are still not firmly establishedit is difficult to speculatefurther concerning the emissiongenerationmechanisms. Finally, there is the very different morphology between SKR and similar kilometric radiation from earth, the so-called auroral kilometric radiation (AKR). Whereas SKR is characterized by a high latitude near-noon source location [Kaiser and Desch,1982], in contrast AKR is characterizedby a high latitude near midnight generation region [Gurnett, 1974]. In addition to this very different local time behavior the structureof the plasmasheets of both planets'magnetospheres are apparently quite different: Saturn'shaving a strong internal plasma source,whereasearth's is much weaker [Sittler et al., 1983]. In the next section, we will show how the MHD waves observedat the outer boundary of the plasmasheetmay be causallyrelated to the field-alignedaccelerationof electronsto keV energies.The field-alignedelectron fluxes will constitute the free energysourcefor the observedSKR. THEORY The free energy sourcesfor driving Saturn's nonthermal radio emissionsare the centrifugal flute instability-driven MHD waves,and also the hot electronswhich populate the region in the vicinity of the plasmasheet's outer boundary.In this sectionwe will showthat the MHD waveand trappedhot electronfree energiescan be convertedinto keV field-aligned electronfluxesthat in turn provide the freeenergyto drive the 10,991 here e is the magnitude of the electron charge, q/is the fieldaligned potential, T• is the temperatureof the hot electrons,VA is the Alfven speed,6B is the MHD surfacewave amplitude, B is the ambientfieldmagnitude,V•.r is the ion thermalvelocity, Pi is the ion gyroradius and a is the thicknessof the plasmasheet boundary. For all of these parameters the appropriate valuesare those of the plasmasheet.Typical valuesfor the plasmasheetparameters listed here are [Sittier et al., 1983' Lazarus and McNutt, 1983] a mean ion mass mi • 14 amu, Pi • 500 km, Te (hot)• 1 keV, a • 10-3 LRs whereL •- 16 is the L shell of the plasmasheetand Rs = 60,300 km is Saturn's radius, V•450 km s-• and V/.r• 28 km s-• and 6BIB •-0.1 (R. P. Lepping et al., unpublished manuscript, 1986). Hence we obtain e•p/Te • 20 6B/B or e• •> 2 keV. Hence field-alignedelectron fluxes of several keV may be expected for Voyager observedplasmasheetboundary observations. For the sake of brevity, we refer the reader to Hase•7awa [1976] for a detailedderivation of equation (1). The analysis presentedby Hase•7awa[1976] for the fieldaligned acceleration of elections is linear and breaks down whenelp/Te •., 0 (fl-•), wherefl is the ratio of plasmapressure to magnetic field pressure. Near the outer boundary of the plasmasheetwe have from Sittier et al. [1983] fl •-, 0.1. Hence the linear analysisis questionablefor evTe•> 2. Thus to obtain field-alignedelectronfluxeswith E •> 2 keV, the nonlineardevelopment in the mode conversionprocessof the surface MHD wave into a kinetic Alfven wave must be considered. This has been done by Hasegawaand Mima [1976] where they show that from a nonlinearanalysisof the mode conversion problem a solutionin the form of a solitary Alfven wave is obtained with the same dispersioncharacteristicsas had been obtained earlier for the kinetic Alfven wave [Hasegawa and Chen, 1975]. Sincethe exact solitary Alfven wave solution is good for large values of e•/Te and since the solution is expected to have similar field-aligned acceleration effects to that of the linear kinetic Alfven wave, acceleration of electrons to energiessignificantlygreaterthan 1 keV is possible. The theory presented here representsan idealization of the physicsoperative at the plasma sheetboundary. It does illustrate however the processby which MHD wave energy may be converted to field-aligned electron energy and underlines the need for a hot electron population. The heated electron population produced by the pick-up of exosphericions origiobserved SKR. Hydromagneticsurface-waves that are excitedeither by a nating from Saturn's moons is required since otherwise Te MHD instability or by an externally applied perturbation would be much less than 1 keV and since e• •-, Te, the elechave been shown to resonantly mode convert to a kinetic trons will not have sufficient energy to excite the observed Alfven wave [Hase•Tawa,1976]. Field-alignedelectron fluxes righthand polarized extraordinary mode waves under the conmay be producedas a consequence of the componentof the ditions required by currently acceptedtheories for the generation of planetary kilometric radiation [Wu and Lee, 1979]. kinetic Alfven wave's electric field in the direction of the The role of plasma instabilitiesin the pick-up processesof averagelocal magneticfield. Applicationsof this theory to the formation of auroral arcs have been made by Hase•Tawa newly-born ions in flowing plasmashas been consideredby a [1976]. The kinetic Alfven wave is defined as an Alfven wave number of authors [Wu and Davidson, 1972; Wu and Hattie, whosewavelengthperpendicularto the magneticfield is com- 1974' Wu et al., 1973' Hartle and Wu, 1973; Curtis, 1981' parable to the ion gyroradiusPi. In essencethe kinetic Alfven Winske et al., 1984]. The encounter of the International Comwave representsthe solutionto an MHD surfacewave pertur- etary Explorer with the comet Giacobini-Zinner has shown bation applied to a densityboundary whosegradientis per- that the cometary pick-up ions possessdistribution functions pendicular to the local field direction. This well describesthe consistentwith the interaction processbetweencometary ions conditionsobtained at the equatorial plasmasheetboundary and the solar wind being stochastic [Gloeckler et al., 1986]. at Saturn. From the applicationof Hase•Tawa's [1976] results These observationsconfirm the earlier theoretical speculations to auroral arcs,we obtain a relation betweenthe magnitudeof that plasma instability processesplay a large role in the interthe externallyapplied MHD surfacewave magneticfield per- actions of newly-born ions with flowing plasmas.Barbosaet al. [1985] have consideredthe role of lower hybrid waves in turbationsand the magnitudeof the field-alignedpotential: the anomalous heating of plasma near Io's torus. In their paper, Barbosa et al. show that newly picked up ions in Io's torus can produce a ring distribution in the cororating frame e•p V.•6B(._a_a• 1/2 10,992 CURTISETAL.' CENTRIFUGAL FLUTEINSTABILITY ANDSKR of Jupiter'smagnetospheric ions.The ion distributionfunction direct consequenceof solar wind energy input, but rather the providesthe free energysourceto drive lower hybrid waves indirect result of reshapingthe free energy sourcedriven by which heat the electronsand produce a hot electron compo- the massloading and associatedexoSphericion pick-up pro- nent.The pick-upenergyof O + ionsat L--- 16 for Saturnis cesses in therapidlyrotatingSaturnmagnetosphere. --•2 keV. Unfortunately, the much lower magnetic field strengthsin Saturn'souter plasmasheetcomparedto the field strengthsnear Io's torus do not permit a detailedstudyof the pick-up process-related electronheatingand associatedlower hybrid waves. The typical electron cyclotron frequency,fe, near Saturn's equator at R _• 16 Rsis fce "• 280Hz [Conner- We note that the expectedlossof plasma down the Saturn magnetotail[Goertz, 1983] due to centrifugaleffectsforms not onlythebasisfor thefreeenergy source whichdrivesthe dayside Saturn kilometric radio emissions,but also explains the absenceof a nightsideSKR source.The disruptiveloss of the nightsideplasmasheetresultsin the lossof the plasmasheet ney et al., 1984] which givesa lower hybrid frequencyfor a population which in the earth's nightside magnetosphereis heavy ion dominated plasma with a mean atomic mass of consideredto contain the earth'sAKR energysource[Wu et _•12-16 amu of ft:n • 2 Hz. The lower hybrid frequencyis al., 1982]. Thus a windlike loss of plasmasheetplasma down thus far below ihe frequencyrangein which the Voyager the magnetotail operates as a free energy sink at Saturn as plasma wave receiverhas good coverage(f> 100 Hz) [Kurth opposed to the magnetotail source of plasma for the plaset al., 1983]. However, Kurth et al. [1983] have shown,using masheet at earth. Voyager 1 inboundobservations, that plasmanoisetentatively Finally, in the case of the Jovian magnetospherewhich is identified as electrostatic bursts associated with the chorus much more heavilymass-loadedthan Saturn'smagnetosphere, existsnear the outer edge of the equatorial plasmasheet.The the nKOM component of Jovian kilometric radiation that authors considereda two-stream instability of electronsas the appearsto emanate from the outer edge of the Io torus may generator of the burst. Within the framework of the theory be generated by a mechanism similar to that discussedhere. presentedhere, the electronpopulationsforming the streams There exist other componentsof Jovian nonthermal radiation would be composedof the field-alignedacceleratedelectrons namely DAM and bKOM, that may be closely tied to the and the background magnetosphericelectrons.We note that, interactionof Io itselfwith the Jovianionosphere. evenlackingthe lowerhybridwaveobservations at Saturn, enoughof the artifactsof the pick-up processexist,suchas hot electrons,a corotating heavy ion population, and a hot electron temperaturegradientdirectedradially outward I-Sittleret al., 1983], to establishthe existenceof pick-up related electron DISCUSSION Althoughthe theorypresented herecangivethe solarwind dependenceof SKR, due to the solar wind's effect on magheating. The observedsolar wind dependenceof SKR [Desch,1982, netosphereconfiguration,and the local time peak near the 1983] results, in the theoretical framework developed here, noon meridian owing to the maximum growth of the centrifufrom a changein configurationof Saturn'smagnetospherein gal flute instability, the conditionspresentedhere so far are responseto solarwind bulk pressurevariations.In the limit of only necessary;they are not sufficient.In particular,the depolow solar wind pressure,such as occurswhen Saturn is im- sition of field-alignedenergeticelectronswith energies1-10 mersed in Jupiter's magnetic tail [Desch,1983]theconfigura- keV into the high latitude ionosphererepresentsonly one contion of Saturn's magnetosphereshould be dipole like out to dition for SKR generation.The ionospheremust still have a distancesmuch greater than L • 16 on both the daysideand sufficientlylow electronplasmadensityso that the ratio of the nightside. In contrast, during Voyager l's encounter with electron plasma frequency to the electron gyrofrequency • 0.2. This limit wasobtainedthrougha detailed Saturn, when Saturn was in the solar wind, the dayside field LOpe/LOce lines at L = 16 were located at 16 Rs on the daysidebut were study of the ionosphericconditionsneededfor the generation estimatedto be at •30 Rs on the nightside [Goertz, 1983]. of the earth'sauroral kilometricradiation(AKR) by Benson The greater distancesto which the nightsideplasmasheetex- [1985] and is consistentwith theoreticalpredictionsby Wong •'•ne•/2/Bwheretle is the ionotends is believedto give rise to a tailward wind of the plasma et al. [1982].Since(Dpe/(Dce and lossof the nightsideplasmasheetbeyondL • 16 [Hill and spheric electron density and B is the ambient magnetic field, Dessler, 1976; Goertz, 1976]. The nightside tailward plas- we seethat all other thingsbeingequal the strongestemissions masheetloss,as discussedearlier, givesrise to the steepden- will occurwhen tie is minimizedfor a givenB. The importance ratio wasdemonstrated at Uranus,wherethe sity gradientat the outer plasmasheetedgewhich is required of the rOve/rOce for the centrifugalflute instability on the dayside.The centri- dominance of the nightsideemissionsover the daysideemisratios fugal stresses on the nightsideplasmasheet will increasewith sionspredicted[Curtis,1985]on the basisof rov,/rOce the increasingdistance to which the plasma travels due to expectedfor the sunlit daysideand depletednightsideionoelongationof the nightsidefield linesowing to the solar wind- spherehas apparentlybeenverified(J. Warwick et al., private magnetosphere interaction.We note that Sittler et al. [1983] communication,1986).For Saturn,the strongemissionpeakobservedthe plasmasheetout to L-• 25 on Voyager 2 out- ing at one longitude, 115ø SLS, when it passesthrough the bound when Saturn may have been in Jupiter'smagnetotail. noonmeridiansuggests that the LOpe/LOce ratiomustbe signifiIn contrast,the plasmasheetterminatedat L = 11 for Voyager cantly different from these at other longitudes.Among the 1 outbound when Saturn was in the solar wind. Since the solar possibilitiesthat suggestthemselves,there is the chance of a wind pressurewill determinethe nightsidefield elongation large magneticanomaly with variation of at least a factor of 2 which, in turn, will control the gradient formation processthat or more in the near surfacemagneticfield magnitude.Howdrives the centrifugal flute instability, solar wind control of ever, such variationsare not consistentwith Voyager magneSKR is expected.We note that in the limiting caseof total tometer observations[Connerneyet al., 1984] unlesshigher cutoff of the solar wind the azimuthal symmetry of the mag- order moments are involved. An alternative explanation netosphereand lack of tail lossshouldyield densitygradients would involvean ionosphericplasmadepletionof perhapsa that are below the thresholdrequired for the centrifugalflute factor of 10 relatedto somefixed atmosphericprocess.Future instability [Goertz, 1983]. research may revealhowonelongitude maintains a (.Dpe/LOce Solar wind control in the scenariopresentedhere is not the ratio significantlydifferent from all others. CURTIS ET AL.: CENTRIFUGALFLUTE INSTABILITYAND SKR Although the wave observationsof R. P. Lepping et al. (unpublished manuscript, 1986) support the mechanism that we have proposed,the data from the Voyager encounterswith Saturn do not allow us to uniquely determine that the proposedmechanismis the only one operative.Another potential mechanisminvolves an extensionof a processthat was originally put forward by Cornwall et al. [1971] to explain the observationsof stable auroral red arcs (SAR arcs) at the earth. In the picture presentedby Cornwall et al., the outward expansion of the plasmasphereduring the recovery phase of geomagnetic substormsinto the ring current gives a density ratio of cold plasmasphericplasma to energetic ring current ions favorably to the generationof ion cyclotronturbulence.A large fraction of the turbulenceenergyis then transferredinto electron heating via electron Landau damping. The resulting external flux would be directed into the ionosphere via fieldaligned electron fluxes.In the caseof Saturn, the ring current lies well within the outer edge of the plasmasheetand hence would not be involved in a processanalogousto that at earth. However, within the framework of the centrifugal flute instability discussedhere, we expect the mixing of hot outer magnetosphereplasma with that of the colder plasmasheetto resemblethat of the ring current-plasmaspheremixing discussed by Cornwall et al. [1971] and the study of artificial cool plasma injected into the ring current [Cornwall, 1972]. The situation may be then favorable to additional field-aligned heating of pick-up electrons and could power the observed nonthermal radio emissions at Saturn. Further data is re- 10,993 Finally, solar wind control of the SKR is an indirect conse- quence of configurational changes in the Saturnian magnetosphereinducedby solar wind pressurevariations. Acknowledgments. We would like to thank T. W. Hill of Rice University, C. K. Goertz of the University of Iowa, M. L. Kaiser, M.D. Desch, J. K. Alexander, and J. E. P. Connerney, all of NASA/GSFC for their helpful suggestionsand comments.We would also like to thank S. Myers for the preparationof the manuscript. Finally, we would like to thank both reviewers for their comments and advice.This work was supportedby the NASA Program in Planetary AtmosphericResearchRTOP 154-60-80-32. The Editor thanks D. D. Barbosa for acting as AssociateEditor and A. Hasegawaand B. Tsurutani for their assistancein evaluating this paper. REFERENCES Barbosa,D. D., F. V. Coroniti, W. S. Kurth, and F. L. Scarf,Voyager observationsof lower hybrid noise in the Io plasma torus and anomalousplasmaheat rates,Astrophys.J., 289, 392, 1985. Benson, R. F., Auroral kilometric radiation: Wave modes, harmonics, and sourceregion electrondensitystructures,J. Geophys.Res.,90, 2753-2784, 1985. Cheng, A. F., and T. W. Hill, Do the satellites of Uranus control its magnetosphere?Uranus and Neptune, edited by J. T. Bergstralh, NASA Conf Publ., 2330, 557-558, 1984. Connerney, J. E. P., M. H. Acuna, and N. F. Ness, Currents in Saturn's magnetosphere,J. Geophys.Res.,88, 8779-8789, 1983. Connerney,J. E. P., M. H. Acuna,and N. F. Ness,The Z 3 modelof Saturn'smagneticfield and the Pioneer 11 vector helium magnetometer observations,J. Geophys.Res.,89, 7541-7544, 1984a. Connerney, J. E. P., L. Davis, and D. L. 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Geophys.Res.,86, 4715-4720, 1981. role in the formation of the free energy source or sources which drives the SKR. SUMMARY AND CONCLUSIONS We have shown that as a result of centrifugal force due to Saturn's rotating magnetosphere and satellite-derived mass loading, MHD waves are produced as the result of the centrifugal flute instability [Goertz, 1983; R. P. Lepping et al., unpublishedmanuscript, 1986] which can acceleratefield-aligned electronsto energiesof several keV. The means of converting the field-aligned MHD wave free energy to field-alignedelectron energy involves the wave-mode conversion mechanism originally due to Hasegawa [1976]. The conversion of the MHD wavesto kinetic Alfven wavesallows in turn a coupling of energy from the macro or MHD scale to the micro or kinetic scale. Given that the plasmasheetboundary density gradient is expectedto be steepestdue to photoionization of exospheric neutrals near the noon meridian, SKR will be strongestthere. 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