• Proceedings of the Korean Association of Geographic Inforamtion Studies Conference
• /
• 2009.04a
• /
• pp.265-266
• /
• 2009

구글 어스(Google Earth)란 도구는 인공위성에서 찍은 사진들을 바탕을 3차원 지구 타원체에 바탕에 입힌 도구이다. 이 도구는 3차원 공간에서 OpenAPI등을 이용하여 3차원객체를 지구 타원체상에 구현 할 수 있다. 이러한 점들 때문에 많은 사람들이 주요 건축물을 구현하거나 실외 이동객체(자동차, 비행기 등)를 구현하여 더욱더 지구와 가까운 모형으로 구현을 해 왔다. 하지만 공간 정보란 것은 실외 공간정보만이 아닌 건물의 내부 구조나 쇼핑몰상의 유동 인구의 움직임등과 같은 정보도 존재한다. 이 연구는 구글 어스 상에서 내부 구조를 가진 건물을 구축하고 이곳을 탐색할 수 있게 해 주며 또한 실내 이동 객체들의 실시간 움직임을 구현한다.

• Geophysics and Geophysical Exploration
• /
• v.9 no.2
• /
• pp.171-175
• /
• 2006

Gravity reduction and Bouguer anomaly are frequently misunderstood by many geoscientists as follows; the observed gravity is reduced to a common datum plane, so that gravity effects by all materials above the datum is removed, therefore, Bouguer anomaly is located on the datum plane. In reality, Bouguer anomaly does not lie on a common datum plane, but is difference between observed gravity and reference gravity at the actual point of measurement. Commonly used gravity reduction formulas are approximate formulas. Here, we introduce complete formulas, and suggest to use them for more accurate results. We also suggest to use not the geoid but the reference ellipsoid as the vertical datum.

• Geophysics and Geophysical Exploration
• /
• v.26 no.1
• /
• pp.1-7
• /
• 2023

This study derives the expressions of vector gravity and gravity gradient tensor due to an elliptical cylinder. The vector gravity for an arbitrary three-dimensional (3D) body is obtained by differentiating the gravitational potential, including the triple integral, according to the shape of the body in each axis direction. The vector gravity of the 3D body with axial symmetry is integrated along the axial direction and reduced to a double integral. The complex Green's theorem using complex conjugates subsequently converts the double integral into a one-dimensional (1D) closed-line integral. Finally, the vector gravity due to the elliptical cylinder is derived using 1D numerical integration by parameterizing a boundary of the elliptical cross-section as a closed line. Similarly, the gravity gradient tensor due to the elliptical cylinder is second-order differentiated from the gravitational potential, including the triple integral, and integrated along the vertical axis direction reducing it to a double integral. Consequently, all the components of the gravity gradient tensor due to an elliptical cylinder are derived using complex Green's theorem as used in the case of vector gravity.

• Bulletin of the Korean Space Science Society
• /
• 1993.10a
• /
• pp.9-9
• /
• 1993

GPS는 지구 중심으로부터 GPS 위성의 거리와 위성과 관측자사이의 의사거리(pseudorange)를 이용해서 위치를 결정하는 시스템이다. 1993년 6월 12일 연세대학교에서 3시간동안 관측하여 연세대학교의 위치를 구하였다. 이 위치는 WGS-84 타원체이므로 Bessel타원체로 좌표변환하였다. 위치를 결정하기 위해서는 정확한 위성의 위치와 의사거리에 미치는 잡음(noise)을 제거해야 한다. GPS 위성의 위치 결정에는 지구 비대칭중력항에 의한 섭동, 태양, 달에 의한 섭동, 태앙 복사압에 의한 섭동, 지각, 해양의 조석력에 의한 섭동, 태양빛의 지구 반사도(albedo)에 의한 섭동을 고려해야하며 이를 위해서 위성의 Telemetry를 분석하여 구해 보았다 의사거리의 잡음중 가장 큰 요소인 이온층, 대류층에 의한 지연(delay)에 대해 연구 하였고 각각 Kiobuchar모델, Hopfield모델을 써서 보정을 하였다. 자료 처리를 P모델, PV모델을 만들어 칼만 필터에 적용하였고 RV모델이 P모델보다 더 정확하였나, 위치 결정의 정확도를 알아 보기위해서 국립 천문대부설 GPS관측소에서 결정한 위치와 비교,분석하였다.

• Journal of the Korean Society for Aeronautical & Space Sciences
• /
• v.46 no.11
• /
• pp.902-910
• /
• 2018

This paper deals with spacecraft intercept problem on non-coplanar elliptical obit considering J2 perturbation. This disturbance addressed in this work is a major factor changing the trajectory of a spacecraft orbiting the Earth. To resolve this issue, a real-time intercept method is proposed. This method is based on the optimization problem which consist of the equation of motion considering spherical earth and impulse, and the optimal solution numerically obtained is set as the direction of the thrust of the interceptor. The position error is resolved by iteratively solving the optimization problem and modifying the direction of thrust of interceptor. The proposed method in this paper is verified by using various numerical examples.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.42 no.3
• /
• pp.661-672
• /
• 2017

This paper introduces the NLSE(Nonlinear Least Squared Estimator) using curved LOBs(Line Of Bearings) considering the earth curvature based on sphere to avoid the map conversion distortion and minimize the estimation error. This paper suggests a method improving a performance of the NLSE using curved LOBs by using an ellipsoid model. The analysis of the simulation results shows that the NLSE using curved LOBs has better performance than the conventional triangulation method and can improve its performance using a suggested method.

• Geophysics and Geophysical Exploration
• /
• v.26 no.2
• /
• pp.77-83
• /
• 2023

In this study, the expressions of magnetic vector and magnetic gradient tensor due to an elliptical cylinder were derived. Igneous intrusions and kimberlite structures are often shaped like elliptical cylinders with axial symmetry and different radii in the strike and perpendicular directions. The expressions of magnetic fields due to this elliptical cylinder were derived from the Poisson relation, which includes the direction of magnetization in the gravity gradient tensor. The magnetic gradient tensor due to an elliptical cylinder is derived by differentiating the magnetic fields. This method involves obtaining a total of 10 triple derivative functions acquired by differentiating the gravitational potential of the elliptical cylinder three times in each axis direction. As the order of differentiation and integration can be exchanged, the magnetic gradient tensor was derived by differentiating the gravitational potential of the elliptical cylinder three times in each direction, followed by integration in the depth direction. The remaining double integration was converted to a complex line integral along the closed boundary curve of the elliptical cylinder in the complex plane. The expressions of the magnetic field and magnetic gradient tensor derived from the complex line integral in the complex plane were shown to be perfectly consistent with those of the circular cylinder derived by the Lipschitz-Hankel integral.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
• /
• v.17 no.3
• /
• pp.265-272
• /
• 1999

The map coordinate systems of Korea, based on the Bessel 1841 ellipsoid with Tokyo Datum, applied in digital mapping. So, the new geocentric system have some coordinate differences compared to GRS80 ellipsoid with the International Terrestrial Reference Frame(ITRF). Therefore, map transition procedures are needed to establish for the new coordinate system. In this paper, characteristics and tendencies about coordinate differences and map tiles systems are investigated and modules for the map coordinate transformations between two systems are developed and simulated.

• Geophysics and Geophysical Exploration
• /
• v.27 no.2
• /
• pp.108-118
• /
• 2024

In this study, expressions for the magnetic field and magnetic gradient tensor due to an elliptical disk were derived. Igneous intrusions and kimberlite structures often have elliptical cylinders with axial symmetry and elliptical cross sections. An elliptical cylinder with varying cross-sectional areas was approximated using stacks of elliptical disks. The magnetic fields of elliptical disks were derived using the Poisson relation, which includes the direction of magnetization in the gravity gradient tensor, as described in a previous study (Rim, 2024). The magnetic gradient tensor due to an elliptical disk is derived by differentiating the magnetic fields, which is equivalent to obtaining ten triple-derivative functions acquired by differentiating the gravitational potential of the elliptical disk three times in each axis direction. Because it is possible to exchange the order of differentiation, the magnetic gradient tensor is derived by differentiating the gravitational potential of the elliptical disk three times, which is then converted into a complex line integral along the closed boundary curve of the elliptical disk in the complex plane. The expressions for the magnetic field and magnetic gradient tensor derived from a complex line integral in complex plane are perfectly consistent with those of the circular disk derived from the Lipschitz-Hankel integral.

• Journal of Korean Society for Geospatial Information Science
• /
• v.1 no.1 s.1
• /
• pp.159-169
• /
• 1993

As Global Positioning System is able to provide 24-hour all weather surveying capability and high precision survey in three dimension, expected that the extensive use of GPS to support geophysics, geophysics, millitary and time correction etc. But in order to use the GPS results effectively, we have to solve problems about coordinates transformation relating the WGS84 to Bessel Datums and development of the accurate geoid undulation model. In this paper, we derive polynomial model equations about geoid undulation around local area(longitude $126^{\circ}{\sim}129^{\circ}$, latitude $36^{\circ}{\sim}37^{\circ}$) in Korea by GPS/Leveling method, also study the geoidal height calcaulation methods supplemented by Earth Gravitational Models (OSU981A, OSU86F).