• 제목/요약/키워드: Earth's curvature

검색결과 22건 처리시간 0.022초

The Spatially Closed Universe

  • Park, Chan-Gyung
    • 한국지구과학회지
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    • 제40권4호
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    • pp.353-381
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    • 2019
  • The general world model for homogeneous and isotropic universe has been proposed. For this purpose, we introduce a global and fiducial system of reference (world reference frame) constructed on a (4+1)-dimensional space-time, and assume that the universe is spatially a 3-dimensional hypersurface embedded in the 4-dimensional space. The simultaneity for the entire universe has been specified by the global time coordinate. We define the line element as the separation between two neighboring events on the expanding universe that are distinct in space and time, as viewed in the world reference frame. The information that determines the kinematics of the geometry of the universe such as size and expansion rate has been included in the new metric. The Einstein's field equations with the new metric imply that closed, flat, and open universes are filled with positive, zero, and negative energy, respectively. The curvature of the universe is determined by the sign of mean energy density. We have demonstrated that the flat universe is empty and stationary, equivalent to the Minkowski space-time, and that the universe with positive energy density is always spatially closed and finite. In the closed universe, the proper time of a comoving observer does not elapse uniformly as judged in the world reference frame, in which both cosmic expansion and time-varying light speeds cannot exceed the limiting speed of the special relativity. We have also reconstructed cosmic evolution histories of the closed world models that are consistent with recent astronomical observations, and derived useful formulas such as energy-momentum relation of particles, redshift, total energy in the universe, cosmic distance and time scales, and so forth. The notable feature of the spatially closed universe is that the universe started from a non-singular point in the sense that physical quantities have finite values at the initial time as judged in the world reference frame. It has also been shown that the inflation with positive acceleration at the earliest epoch is improbable.

Synchrotron Emission Modeling of Radio Relics in the Cluster Outskirts

  • Kang, Hyesung;Ryu, Dongsu
    • 천문학회보
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    • 제40권2호
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    • pp.30.1-30.1
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    • 2015
  • Radio relics are diffuse radio sources found in the outskirts of galaxy clusters and they are thought to trace synchrotron-emitting relativistic electrons accelerated at shocks. We explore a diffusive shock acceleration (DSA) model for radio relics in which a spherical shock with the parameters relevant for the Sausage radio relic in cluster CIZA J2242.8+5301 impinges on a magnetized cloud containing fossil relativistic electrons. This model is expected to explain some observed characteristics of giant radio relics such as the relative rareness, uniform surface brightness along the length of thin arc-like radio structure, and spectral curvature in the integrated radio spectrum. We find that the observed surface brightness profile of the Sausage relic can be explained reasonably well by shocks with speed $u_s{\sim}3{\times}10^3km/s$ and sonic Mach number $M_s{\sim}3$. These shocks also produce curved radio spectra that steepen gradually over $(0.1-10){\nu}_{br}$ with a break frequency ${\nu}_{br}{\sim}1GHz$, if the duration of electron acceleration is ~60-80 Myr. However, the abrupt increase in the spectral index above ~1.5 GHz observed in the Sausage relic seems to indicate that additional physical processes, other than radiative losses, operate for electrons with the Lorentz factor, ${\gamma}_e$ > $10^4$.

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인공신경망을 이용한 강릉지역 산사태 취약성 분석 및 검증 (Landslide Susceptibility Analysis and Vertification using Artificial Neural Network in the Kangneung Area)

  • 이사로;이명진;원중선
    • 자원환경지질
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    • 제38권1호
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    • pp.33-43
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    • 2005
  • 본 연구의 목적은 2002년 산사태가 많이 발생한 강원도 강릉 지역의 산사태 발생원인에 대해 인공신경망 기법과 GIS를 이용하여 취약성도를 작성 및 이를 검증하는 것이다. 이를 위해 지형도, 토양도, 임상도, 지질도, 토지피복도 등 을 GIS를 이용하여 공간 데이터베이스로 구축하였고, 이러한 데이터베이스로부터, 경사, 경사방향, 곡률, 수계, 지형종 류, 토질, 토양모재, 토양배수, 유효토심, 임상종류, 임상경급, 임상영급, 임상밀도, 암상, 토지피복도, 선구조도 등을 추 출하여 산사태 발생요인으로 이용하였다. 이러한 데이터베이스와 산사태 발생 위치에 대해 인공신경망 기법을 적용하 여 산사태 발생 원인에 대해 상대적인 가중치를 계산하고, 이를 적용하여 산사태 취약성도를 만들었다. 그리고 계산 된 산사태 취약성도는 산사태 발생을 정량적으로 예측하는 비곡선 방법을 이용하여 검증되었다. 이러한 결과는 산사 태 피해 예방을 위한 방재 사업, 국토개발 계획, 건설계획 등에 기초 자료로서 활용될 수 있다.

임도설계(林道設計)에의 응용(應用)을 위한 흙의 토질(土質) 역학적(力學的) 특성(特性) (A Soil Mechanical Study for a Practical Application to Forest Road Construction)

  • 김기원
    • 한국산림과학회지
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    • 제84권2호
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    • pp.166-177
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    • 1995
  • 본 연구의 내용은 임도건설(林道建設) 예정지역(豫定地域)의 흙을 어떻게 토질(土質) 역학적(力學的)으로 실험하여 실제적으로 응용할 수 있는가를 다루는 것이다. 이를 위해 8개 플롯에서 각 플롯 당 2 개씩 총 16개의 토양시료(土壤試料)를 채취하였다. 실험내용은 흙이 흩어지기 전후의 단위중량(單位重量), 함수량(含水量), 액성(液性) 및 소성한계(塑性限界), 다짐도 시험(試驗), 입도시험(粒度試驗) 등이다. 흩어지기(교란(攪亂)) 전후의 전체 단위중량(${\rho}_t$)은 각각 $1.69g/cm^3$$1.19g/cm^3$이었으며, 함수량(含水量)은 21.0%와 20.5%였다. 체분석과 비중계(比重計)에 의한 입도시험결과 얻은 균등계수(均等係數) U와 곡율계수(曲率係數) C는 각각 125와 0.42를 보이고 있어 전체적으로 좋은 입도분포는 아니었다. USCS에 의한 토양분류는 SM(실트질 모래 내지 모래실트 혼합토)으로서 성토재료(盛土材料)로서는 좋지 않은 것으로 보인다. 다짐시험결과 자연상태의 단위중량(${\rho}$)과 최적(最適) 단위중량(單位重量)(${\rho}pr$)은 각각 $1.40{\pm}0.065g/cm^3$$1.88{\pm}0.049g/cm^3$로 나타났는데, 이것은 ${\rho}pr$에 도달하기 위해 성토시(盛土時) 더 많은 다짐작업과 토량(土量)이 필요함을 의미한다.

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APPLICATION OF LOGISTIC REGRESS10N A MODEL FOR LANDSLIDE SUSCEPTIBILITY MAPPING USING GIS AT JANGHUNG, KOREA

  • Saro, Lee;Choi, Jae-Won;Yu, Young-Tae
    • 한국GIS학회:학술대회논문집
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    • 한국GIS학회 2003년도 공동 춘계학술대회 논문집
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    • pp.64-64
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    • 2003
  • The aim of this study is to apply and verify of logistic regression at Janghung, Korea, using a Geographic Information System (GIS). Landslide locations were identified in the study area from interpretation of IRS satellite images, field surveys, and maps of the topography, soil type, forest cover, geology and land use were constructed to spatial database. The factors that influence landslide occurrence, such as slope, aspect and curvature of topography were calculated from the topographic database.13${\times}$1ure, material, drainage and effective soil thickness were extracted from the soil database, and type, diameter and density of forest were extracted from the forest database. Land use was classified from the Landsat TM image satellite image. As each factor's ratings, the logistic regression coefficient were overlaid for landslide susceptibility mapping. Then the landslide susceptibility map was verified and compared using the existing landslide location. The results can be used to reduce hazards associated with landslides management and to plan land use and construction.

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APPLICATION OF LIKELIHOOD RATIO A MODEL FOR LANDSLIDE SUSCEPTIBILITY MAPPING USING GIS AT JANGHUNG, KOREA

  • Choi, Jae-Won;Lee, Saro;Yu, Young-Tae
    • 한국GIS학회:학술대회논문집
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    • 한국GIS학회 2003년도 공동 춘계학술대회 논문집
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    • pp.63-63
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    • 2003
  • The aim of this study is to apply and verify of Bayesian probability model, the likelihood ratio and statistical model, at Janghung, Korea, using a Geographic Information System (GIS). Landslide locations were identified in the study area from interpretation of IRS satellite images, field surveys, and maps of the topography, soil type, forest cover, geology and land use were constructed to spatial database. The factors that influence landslide occurrence, such as slope, aspect and curvature of topography were calculated from the topographic database. Texture, material, drainage and effective soil thickness were extracted from the soil database, and type, diameter and density of forest were extracted from the forest database. Land use was classified from the Landsat TM image satellite image. As each factor's ratings, the likelihood ratio coefficient were overlaid for landslide susceptibility mapping, Then the landslide susceptibility map was verified and compared using the existing landslide location. The results can be used to reduce hazards associated with landslides management and to plan land use and construction.

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소/중형 컴퓨터를 위한 MCSST 소프트웨어 개선에 관한 연구 (A Study on the Improvement of the Multichannel Sea Surface Temperature(MCSST) Software for Mini-Computer System)

  • 심태보;장덕홍
    • 대한원격탐사학회지
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    • 제5권1호
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    • pp.41-56
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    • 1989
  • Improvement of the multichannel sea surface temperature(MCSST) software, which had been developed for the purpose of operating under mainframe computer system, was seeked in order to operate effectively in a mini computer system. CPU time and processing time, which is not a major factor under mainframe computer system, become a critical factor in real time image processing under mini computer system. Due to fixed kernel size(3$\times$4) of the old MCSST software, high spatial resolution characteristics of the original image received from satellites were apparently degraded when images are transformed into a cartesian coordinate system after geometrical distortions of the image due to earth curvature are removed. CPU and processing time were reduced to 0.13 and 0.15~0.22 comparing with the old MCSST's, respectively, by applying disk block I/O and M/T queue I/O method under VAX-11/750 computer. The high resolution quality (1.1km in AVHRR) of the processed image was guaranted using 2$\times$2 kernel size and applying moving window techniques without sacrificing CPU and processing time much.

ACCELERATION OF COSMIC RAYS AT LARGE SCALE COSMIC SHOCKS IN THE UNIVERSE

  • KANG HYESUNG;JONES T. W.
    • 천문학회지
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    • 제35권4호
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    • pp.159-174
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    • 2002
  • Cosmological hydrodynamic simulations of large scale structure in the universe have shown that accretion shocks and merger shocks form due to flow motions associated with the gravitational collapse of nonlinear structures. Estimated speed and curvature radius of these shocks could be as large as a few 1000 km/s and several Mpc, respectively. According to the diffusive shock acceleration theory, populations of cosmic-ray particles can be injected and accelerated to very high energy by astrophysical shocks in tenuous plasmas. In order to explore the cosmic ray acceleration at the cosmic shocks, we have performed nonlinear numerical simulations of cosmic ray (CR) modified shocks with the newly developed CRASH (Cosmic Ray Amr SHock) numerical code. We adopted the Bohm diffusion model for CRs, based on the hypothesis that strong Alfven waves are self-generated by streaming CRs. The shock formation simulation includes a plasma-physics-based 'injection' model that transfers a small proportion of the thermal proton flux through the shock into low energy CRs for acceleration there. We found that, for strong accretion shocks, CRs can absorb most of shock kinetic energy and the accretion shock speed is reduced up to $20\%$, compared to pure gas dynamic shocks. For merger shocks with small Mach numbers, however, the energy transfer to CRs is only about $10-20\%$ with an associated CR particle fraction of $10^{-3}$. Nonlinear feedback due to the CR pressure is insignificant in the latter shocks. Although detailed results depend on models for the particle diffusion and injection, these calculations show that cosmic shocks in large scale structure could provide acceleration sites of extragalactic cosmic rays of the highest energy.

DIFFUSIVE SHOCK ACCELERATION WITH MAGNETIC FIELD AMPLIFICATION AND ALFVÉNIC DRIFT

  • Kang, Hyesung
    • 천문학회지
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    • 제45권5호
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    • pp.127-138
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    • 2012
  • We explore how wave-particle interactions affect diffusive shock acceleration (DSA) at astrophysical shocks by performing time-dependent kinetic simulations, in which phenomenological models for magnetic field amplification (MFA), Alfv$\acute{e}$nic drift, thermal leakage injection, Bohm-like diffusion, and a free escape boundary are implemented. If the injection fraction of cosmic-ray (CR) particles is ${\xi}$ > $2{\times}10^{-4}$, for the shock parameters relevant for young supernova remnants, DSA is efficient enough to develop a significant shock precursor due to CR feedback, and magnetic field can be amplified up to a factor of 20 via CR streaming instability in the upstream region. If scattering centers drift with Alfv$\acute{e}$n speed in the amplified magnetic field, the CR energy spectrum can be steepened significantly and the acceleration efficiency is reduced. Nonlinear DSA with self-consistent MFA and Alfv$\acute{e}$nic drift predicts that the postshock CR pressure saturates roughly at ~10 % of the shock ram pressure for strong shocks with a sonic Mach number ranging $20{\leq}M_s{\leq}100$. Since the amplified magnetic field follows the flow modification in the precursor, the low energy end of the particle spectrum is softened much more than the high energy end. As a result, the concave curvature in the energy spectra does not disappear entirely even with the help of Alfv$\acute{e}$nic drift. For shocks with a moderate Alfv$\acute{e}$n Mach number ($M_A$ < 10), the accelerated CR spectrum can become as steep as $E^{-2.1}$ - $E^{-2.3}$, which is more consistent with the observed CR spectrum and gamma-ray photon spectrum of several young supernova remnants.

지리정보시스템(GIS) 및 베이지안 확률 기법을 이용한 보은지역의 산사태 취약성도 작성 및 검증 (Landslide Susceptibility Mapping and Verification Using the GIS and Bayesian Probability Model in Boun)

  • 최재원;이사로;민경덕;우익
    • 자원환경지질
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    • 제37권2호
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    • pp.207-223
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    • 2004
  • 본 연구의 목적은 1998년 보은 지역에서 발생한 산사태와 관련 자료간의 공간적인 관련성을 밝히고, 이를 이용하여 산사태 취약성도를 작성 및 검증하는 것이다. 산사태 위치는 항공사진 및 현장조사를 통해 탐지되었고, 지형, 토양, 임상, 토지 피복 둥의 자료는 GIS를 이용하여 공간 DB로 구축되었다. 산사태 발생과 관련된 요인으로써, 경사, 경사방향, 지형곡률, 지형종류, 토질, 토양모재, 토양배수, 유효토심, 임상, 임상 영급, 임상 경급, 임상 밀도, 암상, 선구조로 부터의 거리, 토지 피복 등이 사용되었다. 산사태와 이러한 요인들간의 관계를 밝히기 위해, 베이지안 확률 기법인 weight of evidence 기법이 적용되어서 >$W^{+}$->$W^{-}$인 constrast값을 계산하였다. 그 constrast값을 모두 합하여 산사태 취약성 지수를 계산하였고, 그 지수값을 이용하여 산사태 취약성도를 작성하였다. 산사태 취약성도는 관련된 재해를 줄이고, 토지이용 및 건설 등을 계획하는데 사용될 수 있다.