• Title/Summary/Keyword: periodic orbit

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Low-Earth orbit satellite constellation for ADS-B based in-flight aircraft tracking

  • Nguyen, Thien H.;Tsafnat, Naomi;Cetin, Ediz;Osborne, Barnaby;Dixon, Thomas F.
    • Advances in aircraft and spacecraft science
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    • v.2 no.1
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    • pp.95-108
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    • 2015
  • Automatic Dependent Surveillance Broadcast (ADS-B) is quickly being adopted by aviation safety authorities around the world as the standard for aircraft tracking. The technology provides the opportunity for live tracking of aircraft positions within range of an ADS-B receiver stations. Currently these receiver stations are bound by land and local infrastructural constraints. As such there is little to no coverage over oceans and poles, over which many commercial flights routinely travel. A low cost space based ADS-B receiving system is proposed as a constellation of small satellites. The possibility for a link between aircraft and satellite is dependent primarily on proximity. Calculating the likelihood of a link between two moving targets when considering with the non-periodic and non-uniform nature of actual aircraft flight-paths is non-trivial. This analysis of the link likelihood and the performance of the tracking ability of the satellite constellation has been carried out by a direct simulation of satellites and aircraft. Parameters defining the constellation (satellite numbers, orbit size and shape, orbit configuration) were varied between reasonable limits. The recent MH370 disappearance was simulated and potential tracking and coverage was analysed using an example constellation. The trend of more satellites at a higher altitude inclined at 60 degrees was found to be the optimal solution.

Numerical Simulation of Periodic and Oscillatory Problems by Using RK-Butcher Algorithms (RK-Butcher알고리듬의 사용에 의한 주기적 진동 문제의 수치적 시뮬레이션)

  • Park, Dae-Chul;Gopal, Devarajan;Murugesh, V.
    • Journal of the Institute of Convergence Signal Processing
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    • v.9 no.1
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    • pp.82-88
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    • 2008
  • In this paper, Runge-Kutta (RK)-Butcher algorithm is proposed to study the periodic and oscillatory problems. Simulation results obtained using RK-Butcher algorithms and the classical fourth order Runge-Kutta (RK(4)) methods are compared with the exact solutions of a few periodic and oscillatory problems to confirm the performance of the proposed algorithm. The simulation results from RK-Butcher algorithms are always found to be very close to the exact solutions of these problems. Further, it is found that the RK-Butcher algorithm is superior when compared to RK(4) methods in terms of accuracy. The RK-Butcher algorithm can be easily implemented in a programming language and a more accurate solution may be obtained for any length of time. RK-Butcher algorithm is applicable as a good numerical algorithm for studying the problems of orbit and two body as it gives the nearly identical solutions.

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A PERIOD STUDY OF THE CLOSE BINARY V651 CASSIOPEIAE (근접쌍성 V651 Cas의 공전주기 연구)

  • 김천휘;이재우
    • Journal of Astronomy and Space Sciences
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    • v.17 no.2
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    • pp.173-180
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    • 2000
  • All times of minimum light of V651 Cas, which is still less studied so far, were analyzed. From our analysis, it was found that the orbital period of the system may have varied in a periodic manner. After assuming that the period change is produced by the light-time effect due to a third body in the system, attempts to derive the orbital elements of the light-time orbit were made. The resultant values for the period, semi-amplitude, and eccentricity of the light-time orbit were 6.${y}^{25}$, 0.${d}^{0013}$, and 0.77, respectively. The future observations of times of minimum light of V651 Cas are needed to confirm the existence of the third body we suggested in this paper.

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Study on Miniaturized RF Components for Application to Ship Radio Communication (선박 무선통신 응용을 위한 초소형 RF 소자에 관한 연구)

  • Young Yun
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2022.11a
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    • pp.390-391
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    • 2022
  • Recently, SpaceX, private enterprise dealing in space development company, has reported a plan for launching of low earth orbit satellites via Starlink Business, and launched 900 satellites until now. Concretely, it plans tp operate Ku/Ka band satellite, and launch 7,518 of V band satellites for broadband communication. Therefore, wireless communication service for ship will be provided, and various solutions will be offered through the low earth orbit satellites. In this work, we investigated RF characteristics of coplanar waveguide employing periodic 3D coupling structures, and examined its potential for a development of marine radio communication FISoC (fully-integrated system on chip) semiconductor device.

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Lagrangian Chaos and Dispersion of Passive Particles on the Ripple Bed (해저 파문에서의 입자의 라그란지적 혼돈 및 확산)

  • 김현민;서용권
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.13-24
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    • 1993
  • The dispersion in the oscillatory flow generated by gravitational waves above the spatially periodic repples is studied. The steady parts of equations describing the orbit of the passive particle in a two dimensional field are assumed to be simply trigonometric functions. From the view point of nonlinear dynamics, the motion of the particle is chaotic under externally time-periodic perturbations which come from the wave motion. Two cases considered here are; (i) shallow water, and (ii) deep water approximation.

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DETERMINATION OF INITIAL CONDITIONS FOR SATELLITE FORMATION ELYING IN ELLIPTICAL ORBITS (타원궤도의 위성편대비행을 위한 초기조건 결정)

  • Lee, Woo-Kyoung;Yoo, Sung-Moon;Park, Sang-Young;Choi, Kyu-Hong;Chang, Young-Keun
    • Journal of Astronomy and Space Sciences
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    • v.22 no.1
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    • pp.21-34
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    • 2005
  • The initial conditions that generate bounded motion in eccentric reference orbit are determined for satellite formation flying. Because Hill's equations cannot describe the relative motion between two satellites in eccentric orbit, a new relative dynamics utilizing the nonlinearity and eccentricity correction for Hill's initial conditions is implemented. The constraint that matches angular rates of chief and deputy satellites is used to obtain the bounded motion between them. The constraint can be applied to satellite formation motions in eccentric orbit, since it implicates J2 perturbation due to the central body's aspherical gravitational forces. The periodic bounded motions are analyzed for the orbit with the eccentricity of less than 0.05 and about 0.5 km relative distance between chief and deputy satellites. It is mainly illustrated that the satellite formations in small eccentric orbits can have hounded motions; consequently, the formation can be kept by matching angular rates of the satellites. These results demonstrate an useful method that reduces the cost for operating satellites by providing effective initial conditions for satellite formation flying in eccentric orbit.

A Study on Image Segmentation using Fractal Image Coding - Fast Image Segmentation Scheme - (프랙탈 부호화를 이용한 영상 영역 분할에 관한 연구 - 고속 영역 분할법 -)

  • 유현배;박지환
    • Journal of Korea Multimedia Society
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    • v.4 no.4
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    • pp.234-332
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    • 2001
  • For a method improving fractal image segmentation which is a new application of fractal image coding, YST scheme have proposed an image segmentation scheme using labeling based on periodic points of pixel transformation and error-correction of labels by iterating fractal transformation. The scheme generates the high quality segmentation, however, it has the redundancy in the process of labeling and correction of labels. To solve this problem, we propose a labeling algorithm based on orbit of pixel transformation and restricted condition on iterating process of fractal transformation.

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Nonlinear Sliding mode Control of Overhead Crane System (천정 크레인 시스템의 비선형 슬라이딩 모드 제어)

  • Kim, Do-Woo;Yoon, Ji-Sup;Park, Byung-Suk;Yang, Hai-Won;Kim, Hong-Phil
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.526-529
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    • 1998
  • In this paper, we proposed a nonlinear sliding mode controller to regulate the swinging angle of Overhead Crane System. Roughly speaking, the controller is designed to regulate an output(the swing angle) while providing internal stability. It is difficult to apply many of standard nonlinear control design techniques. In contrast to control that use a command generator and possibly a time-varying feedback, our control law is simple autonomous nonlinear controller. We analyze the stability of the closed-loop system using an $L_2$ Sliding surface conditions approach on a nonlinear feedback linearization of the system about the desired periodic orbit. One can easily extend this approach to analyze the robustness of the control system with respect to disturbances and parameter variations.

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TOPOLOGICAL SENSITIVITY AND ITS STRONGER FORMS ON SEMIFLOWS

  • Ruchi Das;Devender Kumar;Mohammad Salman
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.1
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    • pp.247-262
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    • 2024
  • In this paper we introduce and study the notions of topological sensitivity and its stronger forms on semiflows and on product semiflows. We give a relationship between multi-topological sensitivity and thick topological sensitivity on semiflows. We prove that for a Urysohn space X, a syndetically transitive semiflow (T, X, 𝜋) having a point of proper compact orbit is syndetic topologically sensitive. Moreover, it is proved that for a T3 space X, a transitive, nonminimal semiflow (T, X, 𝜋) having a dense set of almost periodic points is syndetic topologically sensitive. Also, wherever necessary examples/counterexamples are given.

PLANETARY COMPANION IN K GIANT σ PERSEI

  • Lee, Byeong-Cheol;Han, Inwoo;Park, Myeong-Gu;Mkrtichian, David E.;Jeong, Gwanghui;Kim, Kang-Min;Valyavin, Gennady
    • Journal of The Korean Astronomical Society
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    • v.47 no.2
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    • pp.69-76
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    • 2014
  • We report the detection of an exoplanet candidate in orbit around ${\sigma}$ Persei from a radial velocity (RV) survey. The system exhibits periodic RV variations of $579.8{\pm}2.4$ days. The purpose of the survey is to search for low-amplitude and long-period RV variations in giants and examine the origin of the variations using the fiber-fed Bohyunsan Observatory Echelle Spectrograph installed at the 1.8-m telescope of Bohyunsan Optical Astronomy Observatory in Korea. We present high-accuracy RV measurements of ${\sigma}$ Per made from December 2003 to January 2014. We argue that the RV variations are not related to the surface inhomogeneities but instead a Keplerian motion of the planetary companion is the most likely explanation. Assuming a stellar mass of $2.25{\pm}0.5$ $M_{\odot}$, we obtain a minimum planetary companion mass of $6.5{\pm}1.0$ $M_{Jup}$, with an orbital semi-major axis of $1.8{\pm}0.1$ AU, and an eccentricity of $0.3{\pm}0.1$ around ${\sigma}$ Per.