• Title/Summary/Keyword: Spherical Earth

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The Effects of the IERS Conventions (2010) on High Precision Orbit Propagation

  • Roh, Kyoung-Min;Choi, Byung-Kyu
    • Journal of Astronomy and Space Sciences
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    • v.31 no.1
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    • pp.41-50
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    • 2014
  • The Earth is not perfectly spherical and its rotational axis is not fixed in space, and these geophysical and kinematic irregularities work as dominant perturbations in satellite orbit propagation. The International Earth Rotation Service (IERS) provides the Conventions as guidelines for using the Earth's model and the reference time and coordinate systems defined by the International Astronomical Union (IAU). These guidelines are directly applied to model orbital dynamics of Earth satellites. In the present work, the effects of the latest conventions released in 2010 on orbit propagation are investigated by comparison with cases of applying the previous guidelines, IERS Conventions (2003). All seven major updates are tested, i.e., for the models of the precession/nutation, the geopotential, the ocean tides, the ocean pole tides, the free core nutation, the polar motion, and the solar system ephemeris. The resultant position differences for one week of orbit propagation range from tens of meters for the geopotential model change from EGM96 to EGM2008 to a few mm for the precession/nutation model change from IAU2000 to IAU2006. The along-track differences vary secularly while the cross-track components show periodic variation. However, the radial-track position differences are very small compared with the other components in all cases. These phenomena reflect the variation of the ascending node and the argument of latitude. The reason is that the changed models tested in the current study can be regarded as small fluctuations of the geopotential model from the point of view of orbital dynamics. The ascending node and the argument of latitude are more sensitive to the geopotential than the other elements. This study contributes to understanding of the relation between the Earth's geophysical properties and orbital motion of satellites as well as satellite-based observations.

Analysis of Wall Blackening Reason in Ceramic Metal Halide Lamp by Shape of Arc-tube and Degradation Condition (방전관 형태 및 열화 조건에 따른 세라믹 메탈할라이드 램프의 흑화원인 분석)

  • Kim, Woo-Young;Lee, Se-Il;Yang, Jong-Kyung;Jeong, Young-Gi;Park, Dae-Hee
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.12
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    • pp.2262-2267
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    • 2010
  • In order to analyze the reason of wall blackening, which affect the decline of lifetime in a ceramic metal halide lamp, we carried out the deterioration of ceramic tubes by a change in operating conditions with arc tubes of two types of spherical and cylindrical, and we have confirmed the cause of wall blackening through the analysis of element composition and spectrum from SEM/EDS and spectrum analyzer. Wall blackening of tungsten was shown by sputtering from ignition in 20 minute on/off condition and wall blackening from chemical reaction between PCA wall and rare earth halides was shown significantly in a condition without on/off test. Especially, the wall blackening and the decline of luminous flux were reduced by inner convection in spherical type arc tube. Moreover, the color temperature and color coordinate were changed by reduction of emission spectrum of Dy which causes the chemical reaction with PCA wall.

On the tensile strength of brittle materials with a consideration of Poisson's ratios

  • Hu Guoming;Cho Heechan;Wan Hui;Ohtaki Hideyuki
    • 한국지구물리탐사학회:학술대회논문집
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    • 2003.11a
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    • pp.603-610
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    • 2003
  • The influence of Poisson's ratio on the tensile strength of brittle materials is neglected in many studies. When brittle materials are loaded in compression or impact, substantial tensile stresses are induced within the materials. These tensile stresses are responsible for splitting failure of the materials. In this paper, the state of stress in a spherical particle due to two diametrically opposed forces is analyzed theoretically. A simple equation for the state of stress at the center of the particle is obtained. An analysis of the distribution of stresses along the z-axis due to distributed pressures and concentrated forces, and on diametrically horizontal plane due to concentrated forces, shows that it is reasonable to propose the tensile stress at the center of the particle at the point of failure as a tensile strength of the particle. Moreover, the tensile strength is a function of the Poisson's ratio of the material. As the state of stress along the z-axis in an irregular specimen tends to be similar to that in a spherical particle compressed diametrically with the same force, this tensile strength has some validity for irregular particles as well. Therefore, it can be proposed as the tensile strength for brittle materials generally. The effect of Poisson's ratio on the tensile strength is discussed.

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INFRARED EMISSION FROM SPHERICAL DUST CLOUDS

  • Lee, Hyung-Mok;Hong, Seung-Soo;Yun, Hong-Sik;Lee, Sang-Gak
    • Journal of The Korean Astronomical Society
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    • v.25 no.2
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    • pp.111-128
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    • 1992
  • Infrared emissions from spherical dust, clouds are calculated using quasi-diffusion method. We have employed graphite-silicate mixture with power-law size distribution for the dust model. The grains are assumed to be heated and cooled by radiative processes only. The primary heating source is diffuse interstellar radiation field. hut the cases with an embedded source are also considered. Since graphite grains have higher temperature than silicate grains, the observed IR emission is mainly due to graphite grains, unless the fraction of graphite grains is negligibly small. The color temperature of Bok globules obtained from IRAS 60 and $100{\mu}m$ data are found to be consistent with the dust cloud with graphite-silicate mixture exposed to average interstellar radiation field. The color temperature is sensitive to the external radiation field, but rather insensitive to the size distribution of the grains. We found that the density distribution can be recovered outside the beam size using the inversion technique that assumes negligible optical depth. However, the information within the beam size is lost for if beam convolved intensity distributions are used in deriving density profile.

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Halloysite Formation by the Alteration of Trachytic Glass in Ulleung Island (울릉도 조면암질 유리의 변절에 의한 할로이사이트의 생성)

  • Jeong, Gi-Young
    • Journal of the Mineralogical Society of Korea
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    • v.24 no.2
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    • pp.111-118
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    • 2011
  • Hydrated halloysite was formed by the low temperature alteration of trachytic tuff in onion-like spherical or curly platy forms. The Si content was higher than that of ideal kaolin minerals, indicating the possible presence of amorphous materials. The high Fe content is responsible for the platy morphology of halloysite. The leached ions precipitated as halloysite filling the interparticle pores, while trachytic glass was replaced by Si-rich amorphous materials in an hemispherical form, which was further evolved into spherical halloysite. Halloysite is one of the major alteration products of the volcanic ash in Ulleung Island underwent intense trachytic volcanism.

Precise Geoid Model for Korea from Gravity and GPS Data

  • Choi, Kwang-Sun;Won, Ji-Hoon;Shin, Young-Hong
    • Journal of the Korean Geophysical Society
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    • v.9 no.3
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    • pp.181-188
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    • 2006
  • The data, methodology, and the resulting accurate gravimetric geoid model for the Korean Peninsula (latitude from 32˚ N to 40˚ N and longitude from 124˚ E to 131˚ E) are presented in this study. The types of used data were a high degree geopotential model (the EGM96 spherical harmonic coefficient set), a set of 12,615 land gravity observations, 1,056,075 shipborne gravity observations, and KMS2002 gravity anomalies from satellite altimetry. The remove-restore technique was successfully applied to combining the above mentioned data sets using up to degree and order 112 of the EGM96 coefficient. The residual geoid was calculated with residual Free-Air anomaly values using the spherical Stokes' formula with a 37-km integration cap radius. The geoid model was referred to WGS84 geodetic system and was tested using a set of GPS/levelling geoid undulations. The absolute accuracy is 0.132 m and some improvement compared to the PNU95 geoid model was found.

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Geopotentinl Field in Nonlinear Balance with the Sectoral Mode of Rossby-Haurwitz Wave on the Inclined Rotation Axis (섹터모드의 로스비하우어비츠 파동과 균형을 이루는 고도장)

  • Cheong, Hyeong-Bin;Park, Ja-Rin
    • Journal of the Korean earth science society
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    • v.28 no.7
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    • pp.936-946
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    • 2007
  • Analytical geopotential field in balance with the sectoral mode (the first symmetric mode with respect to the equator) of the Rossby-Haurwitz wave on the inclined rotation axis was derived in presence of superrotation background flow. The balanced field was obtained by inverting the divergence equation with the time derivative being zero. The inversion consists of two steps, i.e., the evaluation of nonlinear forcing terms and the finding of analytical solutions based on the Poisson's equation. In the second step, the forcing terms in the from of Legendre function were readily inverted due to the fact that Legendre function is the eigenfunction of the spherical Laplacian operator, while other terms were solved either by introducing a trial function or by integrating the Legendre equation. The balanced field was found to be expressed with six zonal wavenumber components, and shown to be of asymmetric structure about the equator. In association with asymmetricity, the advantageous point of the balanced field as a validation method for the numerical model was addressed. In special cases where the strength of the background flow is a half of or exactly the same as the rotation rate of the Earth it was revealed that one of the zonal wavenumber components vanishes. The analytical balanced field was compared with the geopotential field which was obtained using a spherical harmonics spectral model. It was found that the normalized difference lied in the order of machine rounding, indicating the reliability of the analytical results. The stability of the sectoral mode of Rossby-Haurwitz wave and the associated balanced field was discussed, comparing with the flrst antisymmetric mode.

Carbonate Coatings on Plant Twigs Found from a Travertine-Depositing Small Stream, Dijon, France

  • Lee, Seong-Joo;Kong, Dal-Yong;Golubic, Stjepko
    • Journal of the Korean earth science society
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    • v.35 no.5
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    • pp.305-312
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    • 2014
  • A number of coated grains (spherical to elongated ones in shape) were collected from a small stream, Dijon, France. They were characterized by typical concentric lamination surrounding broken twigs, and were thus identified as concentric precipitation on plant twigs. Within carbonate coatings of the plant twigs, two morphological groups including, eukaryotic green algae (Vaucheria sp.) and cyanobacteria (Scytonema sp. and Rivularia sp.) were detected, which form carbonate crystals that are surrounding their filaments. The filaments could have triggered carbonate precipitation by photosynthetic removal of $CO_2$ causing the increase of alkalinity of the water, and by supporting their sheaths as nucleation sites. Such encrusted twigs were found from 70 meters downstream, in which temperature and pH were measured as $11.1^{\circ}C$ and 8.18, respectively. These water chemistries ($11.1^{\circ}C$ and pH 8.18), with the aid of microbial photosynthesis, were likely to provide a suitable condition for carbonate precipitation on the twigs.

Construction of Orthogonal Basis Functions with Non-Divergent Barotropic Rossby-Haurwitz Waves

  • Cheong, Hyeong-Bin;Jeong, Hanbyeol;Kim, Wonho
    • Journal of the Korean earth science society
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    • v.35 no.5
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    • pp.333-341
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    • 2014
  • A new set of basis functions was constructed using the Rossby-Haurwitz waves, which are the eigenfunctions of nondivergent barotropic vorticity equations on the sphere. The basis functions were designed to be non-separable, that is, not factored into functions of either the longitude or the latitude. Due to this property, the nodal lines of the functions are aligned neither along with the meridian nor the parallel. The basis functions can be categorized into groups of which members have the same degree or the total wavenumber-like index on the sphere. The orthonormality of the basis functions were found to be close to the machine roundoffs, giving the error of $O(10^{-15})$ or $O(10^{-16})$ for double-precision computation (64 bit arithmetic). It was demonstrated through time-stepping procedure that the basis functions were also the eigenfunctions of the non-divergent barotropic vorticity equations. The projection of the basis functions was carried out onto the low-resolution geopotential field of Gaussian bell, and compared with the theory. The same projections were performed for the observed atmospheric-geopotential height field of 500 hPa surface to demonstrate decomposition into the fields that contain disturbance of certain range of horizontal scales. The usefulness of the new basis functions was thus addressed for application to the eigenmode analysis of the atmospheric motions on the global domain.

The Effect of Vibration of Subway on Earth & Structures in the Region of Subway (지하철 진동이 주변지반 및 인접구조물에 미치는 영향)

  • Kang, Ho Jung;Oh, Jae Eung;Chun, Byung Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.2
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    • pp.1-8
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    • 1987
  • Recently, as subway traffic have been increased, vibration of each parts of subway influence on structures above subway tunnel. This paper presents a new method to reduce which was generated by subway traffic. By comparing directional coherence relationship of X, Y, Z-axis and vibrational coherence relationship of spherical signal which was unified by three directional signals, effective vibration diminishing method was proposed. It can be found that locomotive vibration(specially 1-2Hz) have the worst effect on the vibration of structures and the vibration of subway box ranked 2nd, the vibration of earth ranked 3rd.

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