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At least 1,405 records · Page 78
All sourcesNASA NTRSDOE OSTI
NASA NTRS1975

Temperature fields of an absorptive medium in a radiating system of arbitrary configuration (the spatial problem)

A generalized zonal method based on systems of linear algebraic equations is used to determine the temperature fields in an absorptive grey medium filling a closed radiation system that consists of three boundary zones, of which one is adiabatic and the other two are isothermal. The example calculation considers the case of a solenoidal radiation field of local radiative equilibrium.

Surinov, Y. A.↗
NASA NTRS1975

Gravity fields of the solar system

The most frequently used formulations of the gravitational field are discussed and a standard set of models for the gravity fields of the earth, moon, sun, and other massive bodies in the solar system are defined. The formulas are presented in standard forms, some with instructions for conversion. A point-source or inverse-square model, which represents the external potential of a spherically symmetrical mass distribution by a mathematical point mass without physical dimensions, is considered. An oblate spheroid model is presented, accompanied by an introduction to zonal harmonics. This spheroid model is generalized and forms the basis for a number of the spherical harmonic models which were developed for the earth and moon. The triaxial ellipsoid model is also presented. These models and their application to space missions are discussed.

Zendell, A.↗
NASA NTRS1975

Periodic analysis of total ozone and its vertical distribution

Both total ozone and vertical distribution ozone data from the period 1957 to 1972 are analyzed. For total ozone, improved monthly zonal means for both hemispheres are computed by weighting individual station monthly means by a factor which compensates for the close grouping of stations in certain regions of latitude bands. Longitudinal variability show maxima in summer in both hemispheres, but, in winter, only in the Northern Hemisphere. The geographical distributions of the long term mean, and the annual, quasibiennial and semiannual waves in total ozone over the Northern Hemisphere are presented. The extratropical amplitude of the annual wave is by far the largest of the three, as much as 120 m atm cm over northern Siberia. There is a tendency for all three waves to have maxima in high latitudes. Monthly means of the vertical distribution of ozone determined from 3 to 8 years of ozonesonde data over North America are presented. Number density is highest in the Arctic near 18 km. The region of maximum number density slopes upward toward 10 N, where the long term mean is 45 x 10 to the 11th power molecules cm/3 near 26 km.

Wilcox, R. W.↗
NASA NTRS1974

Tidal parameters from the variation of inclination of GEOS-1 and GEOS-2

Analysis of the luni-solar tidal perturbations of the inclination of GEOS-1 and GEOS-2 has yielded the values 0.22 and 0.31 respectively for the apparent second degree Love number. For GEOS-1 a new purely numerical method involving osculating elements was employed. For GEOS-2 it was necessary to analyze the variations of the mean elements because of the very long period (450 days) of the dominant solar tidal perturbation. The disparate values indicate that the simple second degree zonal harmonic model of the tidal potential is accommodating other effects in addition to those caused by the solid earth tides. A recent paper by Lambeck et al. (1973) indicates that ocean tide effects have significant perturbations on satellite orbits and cannot be neglected.

Douglas, B. C.↗
NASA NTRS1974

Global seasonal atmospheric fluctuations on Mars

The analysis of Mariner 9 radio occultation data concerning the Mars' atmosphere provides information on seasonal changes in pressure, changes in temperature, and the exchange of carbon dioxide between the polar caps and the Martian atmosphere. An error analysis of occultation data is briefly discussed along with zonal analysis procedures, hemispheric elevation differences on Mars, seasonal temperature variations near the surface of Mars, a pressure analysis on surfaces of equal potential, seasonal pressure oscillations in local regions, global seasonal pressure oscillations, and seasonal pressure oscillations associated with seasonal growth and decay of polar caps.

Woiceshyn, P. M.↗
NASA NTRS1974

Structure of the Jovian envelope from Pioneer 10 gravity data

Measurement of Jupiter's zonal harmonics J2 and J4 by the celestial mechanics experiment on Pioneer 10 may be used to obtain a constraint on the structure of the outer envelope of Jupiter, using an inversion technique which is insensitive to the structure of the deep interior for a plausible class of planetary models. The derived structure is consistent with an adiabatic, solar-composition envelope with a starting temperature of 250 plus or minus 40 K at 1 bar pressure.

Anderson, J. D.↗
NASA NTRS1975

Gravity field of Jupiter from Pioneer 11 tracking data

Significantly improved values of the zonal gravity harmonic coefficients J3, J4, and J6 of Jupiter have been obtained from a preliminary analysis of Pioneer 11 spacecraft Doppler data taken while the spacecraft was near Jupiter. The new results, which will have an important application as boundary conditions for theoretical models of Jupiter's interior, are consistent with a planet in hydrostatic equilibrium.

Null, G. W.↗
NASA NTRS1975

Radiative equilibrium in a rectangular enclosure bounded by gray walls

Two-dimensional temperature and heat-flux distributions are calculated for an absorbing-emitting gray medium at radiative equilibrium in a rectangular enclosure. The bounding walls are gray and diffuse with arbitrary surface-temperature distributions, and heat generation may take place inside the medium. As a first approximation, the problem is solved for optically thick systems (differential approximation). These results are subsequently improved by the introduction of a number of geometrical parameters to yield good accuracy for all optical thicknesses. As examples, two cases are discussed in detail: (1) uniform heat generation in a black enclosure, and (2) an enclosure with one gray surface at constant temperature. Comparison with some numerical solutions generated by Hottel's /Hottel and Cohen (1958) and Einstein (1963)/ zonal method shows excellent agreement.

Modest, M. F.↗
NASA NTRS1975

Periodic variations in stratospheric meridional wind from 20 to 65 km - 80 N to 70 S

Long-term periodic features in the meridional wind between 20 and 65 km attitude are analyzed. No appreciable periodic waves are found in the tropics. The quasi-biennial oscillation, annual wave, and four-month wave have maximum amplitudes of about 10, 20, and 10 m/s respectively in the arctic near 45 km. The phase of the annual wave changes by nearly 180 deg in a narrow zone near 45 deg N. The semiannual wave has an amplitude of 10 m/s near 50 deg N above 50 km with equinoctial phase dates in the region of maximum amplitude. The location of this polar semiannual wave corresponds closely to that previously found in the zonal wind.

Nastrom, G. D.↗
NASA NTRS1975

A wave driven model of the Jovian equatorial jet

We explore the consequences of assuming that the equatorial jet, which is the most prominent feature of the atmospheric motions on Jupiter, is driven by vertically propagating Kelvin and mixed Rossby-gravity waves that are absorbed during their passage through the stratosphere to produce a mean zonal flow. Since even the basic atmospheric parameters on Jupiter are still largely a matter of conjecture, we are not able to produce a unique model but one that can span a whole range of possible conditions and which can be refined (or rejected) as more information becomes available.

Maxworthy, T.↗
NASA NTRS1975

Further numerical calculations of the circulation of the atmosphere of Venus

Results of two-dimensional simulations of the deep circulation of Venus are presented. They prove that the high surface temperature can only be explained by the greenhouse effect, and that Goody and Robinson's (1966) dynamical model is not valid. Analytical radiative equilibrium solutions for a semi-grey atmosphere, both with and without an internal heat source, are presented. It is shown that the greenhouse effect is sufficient to produce the high surface temperature if the thermal optical depth is much greater than 100 and the ratio of solar to thermal optical depths does not exceed 0.005. A two-dimensional version of a three-dimensional model is used to test the validity of the new mechanism proposed by Gierasch (1975) to explain the 4-day circulation. Numerical experiments with large horizontal viscosities failed to show strong zonal velocities even for the case of large Prandtl numbers. It is observed that the dissipation of angular momentum introduced by the strong horizontal diffusion more than compensates for the upward transport of angular momentum due to the Hadley cell.

De Rivas, E. K.↗
NASA NTRS1975

Atmospheric variations - Vacillations and index cycles

Zonal indices, momentum flux, and mean and perturbation kinetic energies of the Southern Hemisphere upper troposphere, derived from the EOLE constant density balloon data set, are found to possess strong 18-23 day variations which are statistically significant to a posteriori levels. Cross-spectra and phase relationships suggest that the variation appears as a barotropic interaction between the middle latitude mean westerlies and ultra large-scale perturbations. Long-period and high-amplitude variations in energy conversion between eddy and mean kinetic energies are found which average out in the long term mean to be very small and positive, consistent with previously measured average hemispheric energetics. Furthermore, the variation is shown to possess an ultra-long wave preference. Examination of two independent data sources, time series of total ozone and stratospheric thickness data from the Selective Chopper Radiometer, suggests that the periodicity is a property of general hemispheric motion rather than just a property of the EOLE data set.

Webster, P. J.↗
NASA NTRS1975

Mean meridional circulation in the Southern Hemisphere stratosphere based on satellite information

Atmospheric structure derived from satellite multi-channel radiance data is used to calculate zonally-averaged vertical motions in the wintertime stratosphere of both hemispheres using a heat budget approach. The Northern Hemisphere calculations based on the satellite data are shown to compare favorably with a computation carried out with conventional data, and with results of previous studies. The mean Southern Hemisphere pattern for the month of July 1969 indicates a high-latitude cell with the axis of sinking motion at approximately 50 deg S, while the rising motion is centered at 70 deg S. Thus the Antarctic stratospheric jet stream is associated with an indirect cell. Two individual 10-day periods from July 1969 are also examined to compare the mean meridional circulation and eddy heat flux patterns in the Southern Hemisphere during a minor midwinter warming and during a quiet period.

Adler, R. F.↗
NASA NTRS1975

On the Formulation of the Gravitational Potential in Terms of Equinoctial Variables

Analytical averaging techniques are used to expand the disturbing potential in the equinoctial coordinate frame by considering third body harmonics and zonal functions harmonics. General results are developed through applications of Legendre and associated Legendre polynomials and the Q sub nm functions for the gravitational potential.

Cefola, P. J.↗
NASA NTRS1975

Long period nodal motion of sun synchronous orbits

An approximative model is formulated for assessing these perturbations that significantly affect long term modal motion of sun synchronous orbits. Computer simulations with several independent computer programs consider zonal and tesseral gravitational harmonics, third body gravitational disturbances induced by the sun and the moon, and atmospheric drag. A pendulum model consisting of evenzonal harmonics through order 4 and solar gravity dominated nodal motion approximation. This pendulum motion results from solar gravity inducing an inclination oscillation which couples into the nodal precession induced by the earth's oblateness. The pendulum model correlated well with simulations observed flight data.

Duck, K. I.↗
NASA NTRS1975

Solutions of the motion of synchronous satellites with arbitrary eccentricity and inclination

A first order, semianalytical theory for the long term motion of resonant satellites is presented. The theory is valid for all eccentricities and inclinations and for all commensurability ratios. The method allows the inclusion of all the zonal and tesseral harmonics as well as luni solar perturbations and radiation pressure. The method is applied to a synchronous satellite including only the J sub 2 and J sub 22 harmonics. Global, long term solutions for this problem, eccentricity, argument of perigee, and inclination are obtained.

Nacozy, P. E.↗