Introduction to the restricted Jupiter orbiter problem

We consider a restricted six-body problem, consisting of Jupiter, the four Galilean satellites, and an orbiter. The Galilean satellites' orbits are circular and coplanar; Io, Europa, and Ganymede are in exact resonance; their mean longitudes obey the Laplace relation. We seek periodic orbits which avoid close approaches to any satellite; such orbits are of interest for mission planning. They are approximated as equilibrium points of sets of variational equations associated with time-averaged disturbing functions. Stability of the solutions is also determined. The orbits of greatest interest are:Planar: twice Callisto's period, eccentricity0.6Planar: four times Callisto's period, eccentricity0.75Slightly inclined: twice Callisto's period, eccentricity arbitraryPlanar: 4/5 or 5/4 Europa's period.     

Helium emission in the middle chromosphere

Slitless spectrograms obtained during the eclipse of 10 June 1972 have been analyzed to determine the height distribution of the D₃ He line intensity.For undisturbed regions the maximum of D₃ line intensity is confirmed to exist at about 1700km above the limb. Besides the above mentioned maximum, in plages a considerable intensity may be observed at low heights (h < 1000 km).An analysis of these observations for h > 1000 km has been carried out within the low temperature mechanism of triplet helium emission taking into account the helium ionization by XUV radiation. The density dependence of the 2³ S level population at different XUV flux values has been calculated. Our observations give N _e 2 × 10¹⁰ cm^–3 in the chromosphere at h = 2000 km. The probable coincidence of the H and He emission small filaments in the middle chromosphere is discussed.     

Inclusions and Megacrysts from Undersaturated Tuffs and Basanites, East Fife, Scotland

This paper deals with inclusions, megacrysts, and nodules froma group of Stephanian and Permian vents and associated intrusiveson the Fife (Scotland) coast near Elie. The petrography andchemistry of inclusions of spinel Iherzolite, wehrlite, andclinopyroxenite are described. The Elie Ness vent contains coarse-grainedplutonic nodules (Elie type nodules) and megacrysts of pyrope,sub-calcic augite, kaersutite, and anorthoclase. Elie type nodulesare divisible into five groups: (1) kaersutite-olivine-pyroxenite,(2) type 1 +oligoclase, (3) biotite-pyroxenite, (4) sodic amphibole-biotite-albite,(5) biotite-albite. Experimental studies show that sub-calcic augite and pyropephenocrysts could have coprecipitated from an alkali basaltmagma at P > 25 kb, T = 1300–1450 ?C. It is proposedthat the primary alkali basalt liquid was formed by partialmelting of a vapour-free, mica-bearing garnet Iherzolite mantleat a depth of c. 100 km, with subsequent pyrope-augite phenocrystcrystallization at not less than 70 km depth. Geochemical studiesof clinopyroxenes from the Elie type nodules indicate crystallizationwithin the lower crust. It is proposed that types 1 and 2 nodulesare cumulates from the alkaline basaltic liquid, intercumuluskaersutite representing compositions of liquids intermediateon the Fife basalt trend. Type 3 nodules may represent basalticliquids at the basic end of the Fife trend, wholly crystallizedat pressure from 10–15 kb. Experimental data on stabilityof anorthoclase in its host basanite show it to be present inthe basanite melting interval only at P < 9 kb (dry). Itis thought that crystallization of anorthoclase may be associatedwith formation of types 4 and 5 nodules, possibly from a trappedpocket of evolved alkaline liquid at upper crustal levels. TheElie Ness eruption must have been rapid enough to strip theaccumulated pyroxenites from the lower crust and carry unresorbedgarnet megacrysts from depths of over 70 km. Spinel-lherzoliteinclusions are found only in late stage basic sheets whose intrusionmay be unrelated to the initial violent tuff eruptions.     

Effects of suprathermal grains

Grains ejected from stars at velocities of 10⁷ cm s^–1 and/or grains accelerated by the pressure of starlight in the intercloud medium to velocities in the range 2×10⁶–10⁷ cm s^–1 are slowed to velocities of about 2×10⁵ cm s^–1 in a typical interstellar cloud. The interaction of fast grains with gas atoms as they are slowed in clouds could provide (a) the dominant heat source for interstellar clouds; (b) sites for molecule formation; and (c) a mechanism of providing a pressure balance between clouds and the intercloud medium.Paper presented at the Symposium on Solid State Astrophysics, held at the University College, Cardiff, Wales, between 9–12 July, 1974.     

Observation of temporal and spatial variations in the Fe/O charge composition of the solar particle event of 4 July, 1974

Comprehensive measurements of the temporal variations of the Z 6 charge composition in the 4 July 1974 solar event made with experiments aboard IMP-7 and 8 show that large variations in the charge composition occur in three-hour-averaged intensities. Hourly averaged fluxes show variations as large as factors of 3 to 4 from one hour to the next and 3 hour averages show nearly a factor of 10 peak to minimum over the event. The precision of the measurements are limited by counting statistics of the Fe-group channel. Iron to oxygen variations are established by both rate channel and pulse height analysis techniques. Comparison of measurements from IMP-7 and 8, separated by about 70 R _E shows that, while significant differences in composition and intensity exist for brief periods, the gross compositional variations are reproduced well at both spacecraft. These observations provide particularly stringent conditions for theories of the acceleration, release, and propagation of solar energetic particles.     

Oscillations of coronal electron traps inferred from hard X-ray data

The work of Brown and Hoyng (1975) on the betatron acceleration of hard X-ray source electrons trapped in a vibrating flux tube is generalised to include Fermi acceleration by the varying transverse field. This development can explain the trajectory of bursts in a plot of equivalent thick-target electron flux versus spectral index as inferred from observations obtained by ESRO TD1A. Specifically the loops observed in this , diagram, unexplained in Brown and Hoyng's anslysis are accounted for by a changing phase relationship between the varying field strength f(t) and magnetic scale length g(t)- Application of the formalism to the detailed TD1A observations of the large events of 1972, August 4 and 7, allows inference of the evolution of f(t), g(t) in these events.Now at: Space Sciences Laboratory, University of California, Berkeley, U.S.A.     

On the relative magnitude of streaming velocities of alpha particles and protons at 1 AU

The occurrence at a heliocentric distance of 1 AU of alpha particle streaming velocities larger than proton streaming velocities,v /v _p >1 (Ogilvie, 1975) is investigated on the basis of the theory suggesting the existence in the solar wind of an accelerating force acting preferentially on the alpha particles.Accurate solution of the three-fluid model equations for the quiet solar wind indicates that anecessary andsufficient condition for (v /v _p )_{1 AU}>1 is the presence of a relativelyweak accelerating forceacting in a limited region in the vicinity of 1 AU. If the force is effectiveonly at small heliocentric distances, the alpha particle streaming velocity excess vanishes at distances less than 1 AU, because of the (equalization) action of the dynamical friction force.     

The concept of limiting magnitude and the performance of the Isaac Newton telescope for prime focus photography

A quantitative definition of limiting magnitude for stellar photographs is proposed, together with a method of measurement employing a Racine prism. Limiting magnitudes inU, B andV for the Isaac Newton telescope at Herstmonceux derived from a total of 72 prime focus photographs are presented and the results correlated with the size of the photographed image. The limiting magnitude for an extrapolated value of the seeing of 1 isB=22^m.0, in good agreement with a value obtained by scaling the limiting magnitudes of the 200 inch telescope.     

Upper limits for high energy γ-rays in association with Vela bursts

A sea-level cosmic ray burst detector was in operation at the time of occurrence of 16 Vela bursts, between 1970 and 1973. No events were seen. Upper limits for primary -rays of 10¹¹ eV or higher were set at 10^–29 erg cm^–2 Hz^–1.Paper presented at the COSPAR Symposium on Fast Transients in X- and Gamma-Rays, held at Varna, Bulgaria, 29–31 May, 1975.