Geometrical model of calculation of planet reflected solar thermal fluxes
Geometrical model for calculation of planet reflected solar thermal fluxes
MATHEMATICAL MODEL↗
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Ejecta from large craters on the moon - Comments on the geometric model of McGetchin et al
Amendments to a quantitative scheme developed by T. R. McGetchin et al. (1973) for predicting the distribution of ejecta from lunar basins yield substantially thicker estimates of ejecta, deposited at the basin rim-crest and at varying ranges beyond, than does the original model. Estimates of the total volume of material ejected from a basin, illustrated by Imbrium, also are much greater. Because many uncertainties affect any geometric model developed primarily from terrestrial analogs of lunar craters, predictions of ejecta thickness and volume on the moon may range within at least an order of magnitude. These problems are exemplified by the variability of T, thickness of ejecta at the rim-crest of terrestrial experimental craters. The proportion of T to crater rim-height depends critically upon scaled depth-of-burst and whether the explosive is nuclear or chemical.
Pike, R. J.↗
Geometric modeling and analysis of large latticed surfaces
The application of geometrical schemes, similar to geodesic domes, to large spherical antenna reflectors was investigated. The shape and size of flat segmented latticed surfaces which approximate general shells of revolution, and in particular spherical and paraboloidal reflective surfaces, were determined. The extensive mathematical and computational geometric analyses of the reflector resulted in the development of a general purpose computer program capable of generating the complete design parameters of the dish. The program also includes a graphical self contained subroutine for graphic display of the required design.
Nayfeh, A. H.↗
Geometric models, antenna gains, and protection ratios as developed for BC SAT-R2 conference software
Mathematical models used in the software package developed for use at the 1983 Regional Administrative Radio Conference on broadcasting satellites. The models described are those used in the Spectrum Orbit Utilization Program (SOUP) analysis. The geometric relationships necessary to model broadcasting satellite systems are discussed. Antenna models represent copolarized and cross polarized performance as functions of the off axis angle. The protection ratio is modelled as a co-channel value and a template representing systems with frequency offsets.
Miller, E. F.↗
Geometric model and analysis of rod-like large space structures
The application of geometrical schemes to large sphere antenna reflectors was investigated. The purpose of these studies is to determine the shape and size of flat segmented surfaces which approximate general shells of revolution and in particular spherical and paraboloidal reflective surfaces. The extensive mathematical and computational geometry analyses of the reflector resulted in the development of a general purpose computer program. This program is capable of generating the complete design parameters of the dish and can meet stringent accuracy requirements. The computer program also includes a graphical self contained subroutine which graphically displays the required design.
Nayfeh, A. H.↗
Effects of model geometric accuracy on comparison of wind-tunnel and flight pressure measurements on a launch vehicle
Wind tunnel and flight pressure measurements compared for Ram B Launch Vehicle
FLIGHT TEST VEHICLE↗
Absolute spatial registration of Skylab S192 conical scanner imagery by means of dynamic geometrical modeling
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Malhotra, R. C.↗
Detailed geometrical modeling of Jupiter's 10-related decametric radiation
The paper compares observational results of Jupiter's decametric radiation with the beaming directions predicted by emission of a wide-angle conical sheet of radiation. Using the conical beaming model, beaming directions were calculated assuming a source region above the planetary surface along the Io-affected magnetic flux tube at a point where the electron gyrofrequency is equal to the radiated frequency. The analysis is based on the octupolar magnetic field models from the Pioneer 11 measurements, and an apparent displacement of the flux tube 20 deg ahead of the Io orbital position produces agreement between the calculated and observed positions of the sources. The longitudinal extents of the three main sources are approximated by limiting radiation to points where the angle between the magnetic field vector at the point of emission and the Zenographic equatorial plane is at a minimum. For lower frequencies the Io-dependent radiation is emitted at all longitudes, and the beaming model concurs with this conclusion when all cutoffs are eliminated.
Thieman, J. R.↗
A three-part geometric model to predict the radar backscatter from wheat, corn, and sorghum
A model to predict the radar backscattering coefficient from crops must include the geometry of the canopy. Radar and ground-truth data taken on wheat in 1979 indicate that the model must include contributions from the leaves, from the wheat head, and from the soil moisture. For sorghum and corn, radar and ground-truth data obtained in 1979 and 1980 support the necessity of a soil moisture term and a leaf water term. The Leaf Area Index (LAI) is an appropriate input for the leaf contribution to the radar response for wheat and sorghum, however the LAI generates less accurate values for the backscattering coefficient for corn. Also, the data for corn and sorghum illustrate the importance of the water contained in the stalks in estimating the radar response.
Ulaby, F. T.↗
The magnetospheric boundary layers - A geometrically explicit model
A geometrically explicit three-dimensional model of the magnetosphere is proposed and compared with existing models. The proposed model is a bimodal combination of the classical open and closed magnetosphere. The plasma sheet is topologically contained in a closed field line volume which is exposed to the magnetosheath along the flanks. Boundary layer plasma at the flanks of the closed field line volume freely flows along field lines to the ionosphere and forms a complete border to the plasma sheet. The plasma sheet derives from the closed boundary layer plasma, which is in the same topological volume. The closed boundary layer between the clefts on the dayside is covered by plasma hood (the open field line equatorward extension of the mantle) when dayside merging occurs.
Crooker, N. U.↗
Common radiation analysis model for 75,000 pound thrust NERVA engine (1137400E)
The mathematical model and sources of radiation used for the radiation analysis and shielding activities in support of the design of the 1137400E version of the 75,000 lbs thrust NERVA engine are presented. The nuclear subsystem (NSS) and non-nuclear components are discussed. The geometrical model for the NSS is two dimensional as required for the DOT discrete ordinates computer code or for an azimuthally symetrical three dimensional Point Kernel or Monte Carlo code. The geometrical model for the non-nuclear components is three dimensional in the FASTER geometry format. This geometry routine is inherent in the ANSC versions of the QAD and GGG Point Kernal programs and the COHORT Monte Carlo program. Data are included pertaining to a pressure vessel surface radiation source data tape which has been used as the basis for starting ANSC analyses with the DASH code to bridge into the COHORT Monte Carlo code using the WANL supplied DOT angular flux leakage data. In addition to the model descriptions and sources of radiation, the methods of analyses are briefly described.
Warman, E. A.↗
A beaming model of the Io-independent Jovian decameter radiation based on multipole models of the Jovian magnetic field
A geometrical model is presented in which the apparent source locations of the Io-independent decameter radiation are computed. The calculations assume that the radiation is produced by stably trapped electrons radiating near the electron gyrofrequency and that the emission is then beamed onto a conical surface. The maximum occurrence probability of noise storms is associated with regions in the Jovian magnetosphere where the axis of the emission cone is most inclined toward the Jovian equatorial plane. The calculations utilize and compare two of the octupole spherical harmonic expansions of the Jovian magnetic field constructed from data accumulated by the fluxgate and vector helium magnetometers on board Pioneer 11.
Goldstein, M. L.↗
A beaming model of the Io-independent Jovian decameter radiation based on multipole models of the Jovian magnetic field
A geometrical model is presented in which the apparent source locations of the Io-independent decameter radiation are computed. The calculations assume that the radiation is produced by stably trapped electrons radiating near the local electron gyrofrequency and that the emission is then beamed onto a conical surface. The maximum occurrence probability of noise storms is associated with regions in the Jovian magnetosphere where the axis of the emission cone is most inclined toward the Jovian equatorial plane. The calculations utilize and compare two of the octopole spherical harmonic expansions of the Jovian magnetic field constructed from data accumulated by the fluxgate and vector helium magnetometers on board Pioneer 11.
Goldstein, M. L.↗
A method for unambiguous determination of starspot temperatures and areas - Application to II Pegasi, BY Draconis, and HD 209813
A method is presented for the unique derivation of both starspot temperatures and effective areas from the range of standardized V and R light curves obtained through the rotation periods, and the method is applied to spots observed on II Pegasi, BY Draconis, and HD 209813. The method involves the determination of the temperature difference between the spot and the surrounding photosphere from V and V-R photometry and the Barnes-Evans visual surface brightness relation, and area determination by the derivation of a parameterized effective area representing the fractional area of disk covered by spots under the assumption that the spot or spot group is adequately described by a single circular spot. By this method, an effective temperature of 3400 K and an area representing 37% of the facing hemisphere are derived for the large, cool spot observed on II Pegasi during 1977, an effective temperature of 3500 K and area of 34% are derived for BY Dra and an effective temperature of less than 3840 K is obtained for HD 209813. The derived starspot temperatures, which are believed to correspond to the starspot penumbrae, imply umbral temperatures of 2600-2900 K, in excellent agreement with the 3 kilogauss umbral spot models of Mullan (1974). The geometric modelling of the formation and migration of the spot on BY Dra also indicates a differential rotation amounting to -9.7 x 10 to the -9th rad/sec per deg, in agreement with the solar value.
Vogt, S. S.↗
Geometric verification
Present LANDSAT data formats are reviewed to clarify how the geodetic location and registration capabilities were defined for P-tape products and RBV data. Since there is only one geometric model used in the master data processor, geometric location accuracy of P-tape products depends on the absolute accuracy of the model and registration accuracy is determined by the stability of the model. Due primarily to inaccuracies in data provided by the LANDSAT attitude management system, desired accuracies are obtained only by using ground control points and a correlation process. The verification of system performance with regards to geodetic location requires the capability to determine pixel positions of map points in a P-tape array. Verification of registration performance requires the capability to determine pixel positions of common points (not necessarily map points) in 2 or more P-tape arrays for a given world reference system scene. Techniques for registration verification can be more varied and automated since map data are not required. The verification of LACIE extractions is used as an example.
Grebowsky, G. J.↗
The Computerized Anatomical Man (CAM) model
A computerized anatomical man (CAM) model, representing the most detailed and anatomically correct geometrical model of the human body yet prepared, has been developed for use in analyzing radiation dose distribution in man. This model of a 50-percentile standing USAF man comprises some 1100 unique geometric surfaces and some 2450 solid regions. Internal body geometry such as organs, voids, bones, and bone marrow are explicitly modeled. A computer program called CAMERA has also been developed for performing analyses with the model. Such analyses include tracing rays through the CAM geometry, placing results on magnetic tape in various forms, collapsing areal density data from ray tracing information to areal density distributions, preparing cross section views, etc. Numerous computer drawn cross sections through the CAM model are presented.
Billings, M. P.↗
Computerized anatomical model man for analyses of radiation doses
Computerized human body anatomical geometrical model with life size skeleton and organs scaling for radiation dosage analyses in space missions
Kase, P. G.↗
Finite element thermal-structural modeling of orbiting truss structures
A description of an integrated finite element (FE) thermal-structural approach for accurate and efficient modeling of large space structures is presented. A geometric model with a common discretization for all analyses is employed. It uses improved thermal elements and the results from the thermal analysis directly in the structural analysis without any intervening data processing. The differences between the conventional FE approach as implemented in large programs and an integrated FE approach currently under development are described. Considerations for thermal modeling of truss members is discussed and three thermal truss finite elements are presented. The performance of these elements was evaluated for typical truss members neglecting joint effects. A simple truss with metallic joints and composite members was studied to evaluate the effectiveness of the approach for realistic truss designs. A study of the effects of aluminum joints on the thermal deformations of a simple, plane truss with composite members showed that joint effects may be significant. Further study is needed to assess the role of joint effects on the deformation of large trusses.
Thornton, E. A.↗