• 제목/요약/키워드: $J_2$ perturbation

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J2 섭동을 고려한 비공면 타원 궤도에서의 우주비행체 요격 (Spacecraft Intercept on Non-coplanar Elliptical Orbit Considering J2 Perturbation)

  • 오승렬;이현재
    • 한국항공우주학회지
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    • 제46권11호
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    • pp.902-910
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    • 2018
  • 본 논문은 지구의 J2 섭동을 고려한 비공면 타원궤도에서의 우주비행체의 요격 문제를 다룬다. J2에 의한 영향은 지구를 돌고 있는 우주비행체 궤도를 변화시키는 주된 요인이 되며, 이를 해결하기 위해 실시간 요격 방법을 제안한다. 구형의 지구와 순간추력을 고려한 운동방정식을 기반으로 최적화 문제를 구성하고 수치적으로 얻어진 최적해를 인터셉터의 추진방향으로 설정한다. 위치 오차는 최적화 문제를 반복적으로 해결하고 인터셉터의 추진방향을 수정하는 방식으로 해결한다. 다양한 궤도를 상황을 고려하여 제안하는 방법을 검증한다.

THE PERTURBATION FOR THE DRAZIN INVERSE

  • Wu, Chi-Ye;Huang, Ting-Zhu
    • Journal of applied mathematics & informatics
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    • 제27권1_2호
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    • pp.267-273
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    • 2009
  • A representation for the Drazin inverse of an arbitrary square matrix in terms of the eigenprojection was established by Rothblum [SIAM J. Appl. Math., 31(1976) :646-648]. In this paper perturbation results based on the representation for the Darzin inverse $A^D\;=\;(A-X)^{-1}(I-X)$ are developed. Norm estimates of $\parallel(A+E)^D-A^D\parallel_2/\parallel A^D\parallel_2$ and $\parallel(A+E)^#-A^D\parallel_2/\parallel A^D\parallel_2$ are derived when IIEI12 is small.

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지구 비대칭 중력장이 정지위성에 미치는 효과 (RESONANCE EFFECT ON THE GEOSYNCHRONOUS ORBIT DUE TO THE NON-ZONAL GEOPOTENTIAL)

  • 박종욱;문인상;최규홍;최용석
    • Journal of Astronomy and Space Sciences
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    • 제7권1호
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    • pp.23-35
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    • 1990
  • 지구의 중력장 중에서 비대칭 중력장이 정지위성의 궤도요소에 미치는 섭동을 계산하였다. 지구의 비대칭 중력장(non-zonal geopotential)에 의한 섭동이 인공위성의 궤도요소에 미츤 영향은 $J_2$항 또는 Luni-Solar섭동에 의한 영향보다는 작지만, 이 지구 비대칭 중력장 함수에는 sine값이 1이 되는 강한 공명항이 존재한다. 따라서 지구의 비대칭 중력장 중 이러한 공명항에 의한 정지위성의 궤도요소 변화를 구하였다. 지구의 비대칭 중력장에 의해서 섭동을 받는 궤도 이심률의 변화를 $e_c$$e_s$의 위상면상에서 나타냈고, 평균경도($L_c$)와 궤도 반장경(a)에 대한 변화양상도 구하였다.

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Acoustic Analysis with Moving Window in Normal and Pathologic Voices

  • Choi, Seong-Hee;Lee, Ji-Yeoun;Jiang, Jack J.
    • 말소리와 음성과학
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    • 제2권3호
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    • pp.165-170
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    • 2010
  • In this study, the most stable portion was identified using 5% moving window during /a/ sustained phonation in normal and pathologic voice signals and the perturbation values were compared between normal and pathologic voices at the mid-point and at the most stable portion using moving window, respectively. The results revealed that some severe pathologic voice signals can be eligible for perturbation analysis by identifying the most stable portion with Err less than 10. In addition, the perturbation acoustic parameters did not differentiate the pathologic voice signals from the normal voice signals when the mid-point was selected to measure the perturbation analysis(p>0.05). However, significantly higher %shimmer and lower SNR values were observed in pathologic voices (p<0.05) when the most stable portion was selected by moving window. In conclusion, moving window could identify the most stable portion objectively which can allow toget the minimum perturbation values (%jitter, %shimmer) and maximum SNR values. Thus, moving window technique can be applicable for more reliable and accurate perturbation acoustic analysis.

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Perturbation Study of the KISAT-1 Satellite with Critical Inclination

  • Yi, Hyun-Joo;Park, Kyu-Hong-
    • 한국우주과학회:학술대회논문집(한국우주과학회보)
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    • 한국우주과학회 1992년도 한국우주과학회보 제1권1호
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    • pp.11-11
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    • 1992
  • The most celebrated problem in artificial satellite theory is undoubtedly the critical inclination problem. The KITSAT-1 satellite launched by Arian 42P from Guiana in August 11, 1992 has orbital inclination close to the critical value cos-1(1/rs). In that case, there is a singularity in some perturbation terms and therefore perigee will be fixed because do/dt is equals to zero. But actually the long periodic behaviour in argument of perigee, u is affected by luni-solar gravity andrelativistic effect, etc. Luni-solar gravity induces periodic perturbations in allorbital elements except the semi-major axis, and secular variations in 0, u and M.We have obtained nodal rate and inclination variations in case of the KITSAT-1.In this paper, we will also show the geopotential perturbations in 0, M of the Satellite in CIUding J2, J3, J4, J22 terms.

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The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J2 Perturbation: Part I

  • Jo, Jung-Hyun;Park, In-Kwan;Choe, Nam-Mi;Choi, Man-Soo
    • Journal of Astronomy and Space Sciences
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    • 제28권1호
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    • pp.37-54
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    • 2011
  • Two semi-analytic solutions for a perturbed two-body problem known as Lagrange planetary equations (LPE) were compared to a numerical integration of the equation of motion with same perturbation force. To avoid the critical conditions inherited from the configuration of LPE, non-singular orbital elements (EOE) had been introduced. In this study, two types of orbital elements, classical Keplerian orbital elements (COE) and EOE were used for the solution of the LPE. The effectiveness of EOE and the discrepancy between EOE and COE were investigated by using several near critical conditions. The near one revolution, one day, and seven days evolutions of each orbital element described in LPE with COE and EOE were analyzed by comparing it with the directly converted orbital elements from the numerically integrated state vector in Cartesian coordinate. As a result, LPE with EOE has an advantage in long term calculation over LPE with COE in case of relatively small eccentricity.

Perturbation and Perceptual Analysis of Pathological Sustained Vowels according to Signal Typing

  • 이지연;최성희;;한민수;최홍식
    • 말소리와 음성과학
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    • 제2권2호
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    • pp.109-115
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    • 2010
  • In this paper, we investigate a signal typing on the basis of visual impression of distinctive spectrogram. Pathological voices are classified into signal type 1, 2, 3, or 4 to estimate perturbation parameters and to mark perceptual rating based on Consensus Auditory-Perceptual Evaluation of Voice (CAPE-V). The results suggest that perturbation analysis can be applied to only type 1 and 2 signals and the perceptual ratings of overall grade increase with each signal type, overall. A good inter-rater reliability is showed among three raters. We recommend that pathological voices should be marked the signal typing and CAPE-V, together, to definitely describe the characteristics of pathological voices.

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이산시스템에서 시간지연을 갖는 시변 상태 지연 섭동의 안정 범위에 관한 연구 (Stability Bounds of Delayed Time-varying Perturbations of Discrete Systems)

  • 이달호;한형석
    • 제어로봇시스템학회논문지
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    • 제13권2호
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    • pp.147-153
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    • 2007
  • The stability robustness problem of linear discrete-time systems with delayed time-varying perturbations is considered. Compared with continuous time system, little effort has been made for the discrete time system in this area. In the previous results, the bounds were derived for the case of non-delayed perturbations. There are few results for delayed perturbation. Although the results are for the delayed perturbation, they considered only the time-invariant perturbations. In this paper, the sufficient conditions for stability can be expressed as linear matrix inequalities(LMIs). The corresponding stability bounds are determined by LMI(Linear Matrix Inequality)-based algorithms. Numerical examples are given to compare with the previous results and show the effectiveness of the proposed results.

톱니 모양의 Perturbation을 갖는 편파 Diversity 용 광대역 마이크로스트립 안테나 (Broad Band Microstrip Antenna with Saw Tooth Perturbations for Polarization Diversity)

  • 김태홍;노근식;박천석
    • 한국전자파학회논문지
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    • 제11권4호
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    • pp.505-513
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    • 2000
  • 본 논문에서는 편파 다이버서티(j:X)larization diversity)용 광대역 안테나에 대한 성능을 개선하기 위한 새로운 구조를 제안하였다. 이중 편파 마이크로스트립 안테나를 구현하기 위하여 십자형 개구변을 두었고, 개구면 위와 아래에 두 j:X)rt가 서로 수직이 되도록 급전부를 셜계하였다. 그리고 방사소자와 급전부에 air gap을 주었으며 후 방 방사를 줄이기 위해 아래 급전부로부터 $\lambda$/4 떨어뜨려서 반사판을 두었다. 더욱 넓은 대역폭을 가지도록 방 사 패치에 톱니 모양의 perturbation을 주었으며, 패치의 perturbation 효과에 의해 안테나 크기가 줄어들게 됨으 로써 배열 안테나의 크기도 상당히 줄어들었다. 제안된 단일 소자 안테나를 이용하여 $1\times4$ 배열 안테나 구조를 가진 PCS 기지국용 편파 다이버시티 안테나 를 제작하였다. 단일 소자 안테나는 각각 port 당 10.3 %, 11.3 %(VSWR<1.3)의 대역폭을 가지고 두 port간의 분리도가 -40 dB 이상이다. 또한 배열 안테나의 대역폭은 각각 13.2 %, 12.7 %(VSWR <1.3)이고 -36 dB의 분 리도와 10 dB의 XPD를 가진다.

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Perturbation and Nonlinear Dynamic Analysis of Sustained Vowels in Normal and Pathological Voices

  • 이지연;최성희;;한민수;최홍식
    • 말소리와 음성과학
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    • 제2권1호
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    • pp.113-120
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    • 2010
  • In this paper, we investigate the acoustic characteristics of sustained voices from normal subjects and patients with laryngeal pathologies. Perturbation methods (including jitter and shimmer), signal-to-noise ratio (SNR), and nonlinear dynamic methods (such as correlation dimension) are used to analyze normal and pathological voices. We find that jitter does not statistically discriminate between normal and pathological voices, but a significant difference is found for shimmer, SNR, and correlation dimension. The results suggest that nonlinear dynamic analysis may be valuable for the analysis of normal and pathological voices but perturbation analysis should be applied with caution for pathological voice analysis.

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