• Title/Summary/Keyword: space curve

Search Result 729, Processing Time 0.031 seconds

An Alternate Light Curve Solution of AR Lacertae

  • Park, Hong-Suh
    • Journal of Astronomy and Space Sciences
    • /
    • v.1 no.1
    • /
    • pp.67-74
    • /
    • 1984
  • Photoelectric UBV light curves of AR lacertae made in one season during 1981-82 are presented. Although the shape of the light curves in the outside eclipses shows a strong distortion, the scatter of observations as well as phase coverage are better than those previously available. Fourier coefficients are derived from the V-light curve and the observed curve successfully rectified to the Russell model. Light curve solutions are computed and the geometrical and physical parameters of AR Lac are derived as $a_s$=0.182, $a_g$=0.341, j=$86^{circ}$3, $L_s$=0.372, $L_g$=0.628, k=0.53, $X_s$=0.85, $X_g$=0.4.

  • PDF

A New Kind of Slant Helix in Lorentzian (n + 2)- Spaces

  • Ates, Fatma;Gok, Ismail;Ekmekci, Faik Nejat
    • Kyungpook Mathematical Journal
    • /
    • v.56 no.3
    • /
    • pp.1003-1016
    • /
    • 2016
  • In this paper, we introduce a new kind of slant helix for null curves called null $W_n$-slant helix and we give a definition of new harmonic curvature functions of a null curve in terms of $W_n$ in (n + 2)-dimensional Lorentzian space $M^{n+2}_1$ (for n > 3). Also, we obtain a characterization such as: "The curve ${\alpha}$ s a null $W_n$-slant helix ${\Leftrightarrow}H^{\prime}_n-k_1H_{n-1}-k_2H_{n-3}=0$" where $H_n,H_{n-1}$ and $H_{n-3}$ are harmonic curvature functions and $k_1,k_2$ are the Cartan curvature functions of the null curve ${\alpha}$.

Prediction and Validation of Design Loads of Satellite Components Using Modal Mass Acceleration Curve (모달 질량 가속도 곡선을 이용한 인공위성 탑재품의 설계하중 예측 및 검증)

  • Go, Myeong-Seok;Lim, Jae Hyuk;Kim, Kyung-Won;Hwang, Do-Soon;Oh, Hyunung
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.49 no.9
    • /
    • pp.739-748
    • /
    • 2021
  • This paper discusses the prediction and validation of design loads of satellite components using modal mass acceleration curve (Modal MAC). To calculate the acceleration upper bound of the satellite components subjected to the launch environment by the Modal MAC, the parameters of SpaceX Falcon 9 launch vehicle were used, and the acceleration upper bound curve in the modal domain was derived. After that, the maximum acceleration loads applied to the satellite components were predicted by combining Modal MAC with the spacecraft interface loads of the satellite/launch vehicle and modal information of the satellite. In addition, the accuracy of the Modal MAC was validated through comparison with the results of the coupled loads analysis using a simple satellite and launch vehicle model.

BERTRAND CURVES AND RAZZABONI SURFACES IN MINKOWSKI 3-SPACE

  • Xu, Chuanyou;Cao, Xifang;Zhu, Peng
    • Bulletin of the Korean Mathematical Society
    • /
    • v.52 no.2
    • /
    • pp.377-394
    • /
    • 2015
  • In this paper, we generalize some results about Bertrand curves and Razzaboni surfaces in Euclidean 3-space to the case that the ambient space is Minkowski 3-space. Our discussion is divided into three different cases, i.e., the parent Bertrand curve being timelike, spacelike with timelike principal normal, and spacelike with spacelike principal normal. For each case, first we show that Razzaboni surfaces and their mates are related by a reciprocal transformation; then we give B$\ddot{a}$cklund transformations for Bertrand curves and for Razzaboni surfaces; finally we prove that the reciprocal and B$\ddot{a}$cklund transformations on Razzaboni surfaces commute.

An approach to computerized preliminary design procedure of mid-size superyachts from hull modeling to interior space arrangement

  • Nam, Jong-Ho;Kim, Dong-Ham;Lee, Ho-Jin
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • v.2 no.2
    • /
    • pp.96-103
    • /
    • 2010
  • A concept of preliminary design for mid-size superyachts is explored. First, the profile of a superyacht is interactively designed with the help of freeform curve functionality and graphical user interface (GUI) based interaction. The hull form is then constructed using major characteristic curves such as design waterline, deck sideline, and sections in addition to the predefined profile curve. After exterior hull modeling is done, the arrangement of significant interior spaces of all decks is carried out. A genetic algorithm is exploited to find a space arrangement by considering space fitness values, space proximity, and stairs connectivity of relevant spaces. A goal of the paper is to offer a step-by-step procedure for superyacht design from scratch or when initial information is not sufficient for complete design. For this purpose, a GUI based superyacht design system is developed. This design approach is expected to help users interactively design mid-size superyachts.

Spatial Partitioning using filbert Space Filling Curve for Spatial Query Optimization (공간 질의 최적화를 위한 힐버트 공간 순서화에 따른 공간 분할)

  • Whang, Whan-Kyu;Kim, Hyun-Guk
    • The KIPS Transactions:PartD
    • /
    • v.11D no.1
    • /
    • pp.23-30
    • /
    • 2004
  • In order to approximate the spatial query result size we partition the input rectangles into subsets and estimate the query result size based on the partitioned spatial area. In this paper we examine query result size estimation in skewed data. We examine the existing spatial partitioning techniques such as equi-area and equi-count partitioning, which are analogous to the equi-width and equi-height histograms used in relational databases, and examine the other partitioning techniques based on spatial indexing. In this paper we propose a new spatial partitioning technique based on the Hilbert space filling curve. We present a detailed experimental evaluation comparing the proposed technique and the existing techniques using synthetic as well as real-life datasets. The experiments showed that the proposed partitioning technique based on the Hilbert space filling curve achieves better query result size estimation than the existing techniques for space query size, bucket numbers, skewed data, and spatial data size.

The Photometric Brightness Variation of Geostationary Orbit Satellite

  • Seo, Haingja;Jin, Ho;Song, Yongjun;Lee, Yongseok;Oh, Youngseok
    • Journal of Astronomy and Space Sciences
    • /
    • v.30 no.3
    • /
    • pp.179-185
    • /
    • 2013
  • Photometric observation is one of the most effective techniques for determining the physical characteristics of unknown space objects and space debris. In this research, we examine the change in brightness of the Communication, Ocean, Meteorological Satellite-1 (COMS-1) Geostationary Orbit Satellite (GEO), and compare it to our estimate model. First, we calculate the maximum brightness time using our calculation method and then derive the light curve shape using our rendering model. The maximum brightness is then calculated using the induced equation from Pogson's formula. For a comparison with our estimation, we carried out photometric observation using an optical telescope. The variation in brightness and the shape of the light curve are similar to the calculations achieved using our model, but the maximum brightness shows a slightly different value from our calculation result depending on the input parameters. This paper examines the photometric phenomenon of the variation in brightness of a GEO satellite, and the implementation of our approach to understanding the characteristics of space objects.