• 한국측량학회지
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• 제22권4호
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• pp.383-390
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• 2004

IGS는 13일 이후에 제공되는 매우 정확한 최종정밀궤도력을 제공하고 있으며, 보다 신속한 활용을 위해 신속정밀궤도력을 제공하고 있다. 그리고 실시간 활용을 위해 초신속정밀궤도력을 제공하고 있다. 본 연구에서는 최종정밀궤도력을 기준으로 신속정밀궤도력과 초신속정밀궤도력의 정확도를 분석하고, 위성의 위치결정에 필요한 Lagrange 보간법의 차수를 결정하고자 한다. 연구결과, 신속정밀궤도력의 x,y,z좌표의 평균제곱근오차는 $\pm$0.016m 정도였으며, 관측된 초신속정밀궤도력은 약 $\pm$0.024m의 오차를 나타내었다. 24시간동안의 예측 초신속정밀궤도력은 $\pm$0.07m, 6시간동안 예측된 초신속정밀궤도력은 $\pm$0.04m 정도의 오차를 나타내어 방송궤도력보다 매우 높은 정확도를 갖고 있음을 알 수 있었다. 또한, Lagrange 방법으로 위성의 위치를 계산하는 경우, 9차 다항식을 이용하는 것이 효율적임을 확인하였다.

• 천문학논총
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• 제23권2호
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• pp.65-71
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• 2008

It has been considered that 'exhausted eclipses' (日食旣) were total eclipses. However, modern precise calculations show that a significant fraction of such records are not realized to be total. Thus we doubt that the two concepts are equivalent. Here we investigate the meaning of 'exhausted eclipses' in the east-Asian history. We first find that eclipses of magnitude greater than 0.8 were regarded as 'exhausted eclipses' by a Korean astronomer of the 18th-century Choson dynasty. His notion was based upon the definition of 'exhausted eclipses' in the ephemerides of pre-modern Chinese dynasties. According to those ephemerides, the 'exhausted eclipses', whose magnitude is greater than 0.8, have the first contact at the western part of the solar disk and the fourth contact at the eastern part of the solar disk. A simple geometrical calculation shows that such cases really occur when the magnitude of eclipse is greater than 0.7. We pointed out that such an ancient definition might not be impractical for ancient astronomers, because the uncertainty of eclipse magnitude estimated by ancient Chinese ephemerides was 10% and the human sight has a spatial resolution of 1.2 arcmin, which is approximately one twentieth of the Sun's angular diameter.

• Journal of Astronomy and Space Sciences
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• 제37권3호
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• pp.171-185
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• 2020

This paper presents a methodology for Initial Orbit Determination (IOD) based on a modification of the Laplace's geocentric method. The orbital elements for Near-Earth asteroids (1864) Daedalus, 2003 GW, 2019 JA8, a Hungaria-type asteroid (4690) Strasbourg, and the asteroids of the Main Belt (1738) Oosterhoff, (2717) Tellervo, (1568) Aisleen and (2235) Vittore were calculated. Input data observations from the Minor Planet Center MPC database and Astronomical Observatory of the Technological University of Pereira (OAUTP; MPC code W63) were used. These observations cover observation arcs of less than 22 days. The orbital errors, in terms of shape and orientation for the estimated orbits of the asteroids, were calculated. The shape error was less than 53 × 10^-3 AU, except for the asteroid 2019 JA8. On the other hand, errors in orientation were less than 0.1 rad, except for (4690) Strasbourg. Additionally, we estimated ephemerides for all bodies for up to two months. When compared with actual ephemerides, the errors found allowed us to conclude that these bodies can be recovered in a field of vision of 95' × 72' (OAUTP field). This shows that Laplace's method, though simple, may still be useful in the IOD study, especially for observatories that initiate programs of minor bodies observation.

• 한국항해항만학회:학술대회논문집
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• 한국항해항만학회 2006년도 International Symposium on GPS/GNSS Vol.2
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• pp.267-270
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• 2006

The International GNSS Service (IGS) has managed the global GNSS network and provided the highest quality GNSS data and products, which are GPS ephemerides, clock information and Earth orientation parameter, as the standard for GNSS. An important part of its works is to provide the precise orbits of GPS satellites. GPS satellites send their orbit information (broadcast ephemerides) to users and their accuracies are approximately 1.6 meters level, but those accuracies are not sufficient for the high precise applications which require millimeters precision. The current accuracies of the IGS final orbits are within 5 centimeters level and they are used for Earth science, meteorology, space science, and they are made by the IGS analysis centers and combined by the IGS analysis center coordinator. The techniques making the products are very difficult and require the high technology. The Korea Astronomy and Space Science Institute (KASI) studies to make the IGS products. In this study, we developed our own processing strategy and made GPS ephemerides using Bernese GPS software Ver. 5.0. We used the broadcast ephemerides as the initial orbits and processed the globally distributed 150 IGS stations. The result shows about 6 to 8 centimeters in root-mean-squares related to IGS final orbits in each day during a week. We expect that this study can contribute to secure our own high technology.

• Journal of Astronomy and Space Sciences
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• 제12권1호
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• pp.78-89
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• 1995

상대론올 포함한 행성의 운동방정식을 중심으로 9개의 행성과 달, 그리고 4개의 소행성을 포함한 태양계의 n체 문제를 다루었다. 이 기본방정식에 지구와 달의 figure potential과 지구의 solid tidal effect를 외력으로 하는 섭동방정식을 추가하였다. 지구의 orientation을 J2000.0을 기준으로 하는 세차와 장동에 관한 식을 채택하였고, 달의 orientation에 대해 서는 J2000.0을 기준으로 하는 달의 칭동 모델을 션택하고 Eckert의 행성섭동효과를 추가 하였다. 각각의 subroutine별로 테스트를 거쳐 이들을 결합하여‘SSEG (Solar System Ephemerides Generator)’ 라는 소프트웨어 package를 개발한 후, CRAY-2S 슈퍼컴퓨터를 사용하여 프로그램을 수행하였다. 기준 시각인 JD2440400.5를 기준으로 하여, 1일 간격으로 40,000일 (약 110년) 동안 각 행성의 위치 (태양중심 황도직교좌표값)를 계산한 후, 이 결과의 정확도를 검증하기 위하여 JPL의 DE200 자료와 우리의 결과를 비교하였다. 이 연구로부터 얻은 결과로서 행성들의 위치 성분에 대한 최대오차가 100년 동안 $\pm2\times10^{-8}AU(약\pm3km)$ 이하로 나타났다

• 천문학회지
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• 제55권4호
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• pp.111-121
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• 2022

Based on the light an exoplanet blocks from its host star as it passes in front of it during a transit, the mid-transit time can be determined. Periodic variations in mid-transit times can indicate another planet's gravitational influence. We investigate 83 transits of TrES-1 b as observed from 6-inch telescopes in the MicroObservatory robotic telescope network. The EXOTIC data reduction pipeline is used to process these transits, fit transit models to light curves, and calculate transit midpoints. This paper details the methodology for analyzing transit timing variations (TTVs) and using transit measurements to maintain ephemerides. The application of Lomb-Scargle period analysis for studying the plausibility of TTVs is explained. The analysis of the resultant TTVs from 46 transits from MicroObservatory and 47 transits from archival data in the Exoplanet Transit Database indicated the possible existence of other planets affecting the orbit of TrES-1 and improved the precision of the ephemeris by one order of magnitude. We now estimate the ephemeris to be (2 455 489.66026 BJD_TDB ± 0.00044 d) + (3.0300689 ± 0.0000007) d × epoch. This analysis also demonstrates the role of small telescopes in making precise midtransit time measurements, which can be used to help maintain ephemerides and perform TTV analysis. The maintenance of ephemerides allows for an increased ability to optimize telescope time on large ground-based telescopes and space telescope missions.

• 한국항행학회논문지
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• 제15권6호
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• pp.953-961
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• 2011

IGS(Internation GNSS Service) 초신속궤도력에 포함된 예측궤도력은 실시간 혹은 준실시간 정밀 항법에 적합한 궤도력이다. 이 논문에서는 예측궤도력에서 발생할 수 있는 궤도 이상 발생 현황을 점검하고, NANU(Current Notice Advisories to NAVSTAR Users)와 IGS 방송궤도력(BRDC, Broadcast Ephemerides)를 이용하여 예측궤도력의 이상 검출 성능을 분석하였다. 그 결과 예측궤도력은 2010년 1년간 93회의 궤도 이상이 나타났으며, NANU를 이용할 경우 88%, NANU와 BRDC를 함께 사용할 경우 95%의 이상 검출이 가능함을 확인할 수 있었다.

• Journal of Positioning, Navigation, and Timing
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• 제10권4호
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• pp.279-289
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• 2021

GNSS receivers capable of tracking multiple Global Navigation Systems (GNSSs) simultaneously are widely used. In order to estimate accurate user position and velocity, it is necessary to consider the key elements that contribute to the interoperability of the different GNSSs. Typical examples are the time system and the coordinate system. Each GNSS is operated based on its own reference time system depending on when the system was developed and whether the leap seconds are applied. In addition, each GNSS is designed based on its own coordinate system based on earth model constant values. This paper addresses the interoperability issues from the viewpoint of Single Point Positioning (SPP) users utilizing multiple GNSS signals from GPS, GLONASS, BeiDou, and Galileo. Since the broadcast ephemerides of each GNSS are based on their own time and coordinate systems, the time and the coordinate systems should be unified for any user algorithm. For this purpose, this paper proposes a method of converting each GNSS coordinate system into the reference coordinate system through Helmert transformation. The error of the broadcast ephemerides was calculated with the precise ephemerides provided by the International GNSS Service (IGS). The effectiveness of the proposed multi-GNSS correction and transformation method is verified using the Multi-GNSS Experiment (MGEX) station data.

• Journal of Astronomy and Space Sciences
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• 제10권2호
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• pp.152-162
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• 1993

이 연구에서는 태양계 천체들의 운동에 대한 역학 모델을 설정하고, 그에 적합한 운동 방정식을 수치 적분하여 임의의 시각에 각 행성과 달의 위치를 계산할 수 있도록 하였다. 이때 역학 모델에는 (1) 점질량 상호작용, (2) 지구와 달의 중력 포텐셜에 의한 figure효과, (3) 조석력, (4) 지구와 달의 orientation 등에 의한 섭동력 등을 모두 고려하였다. 그리고 이 프로그램을 이용해 계산한 결과를 미국의 JPL에서 생산한 DE200 자료와 비교 분석하였다.

• 천문학회지
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• 제38권1호
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• pp.13-16
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• 2005

We present a period analysis of the well known $\beta$ Lyrae type eclipsing binary GO Cyg $(P= 0^d .7177)$. Several new times of minimum light, recorded photoelectrically, have been gathered. Analysis of all available eclipse timings of GO Cyg has confirmed a significant period increase with rate of $2.52 {\times} 10^{-10}$ day / cycle, also new period has been estimated. New linear and quadratic ephemerides have been calculated for the system.