• 천문학회지
• /
• 제46권3호
• /
• pp.133-140
• /
• 2013

The empirical mass discrepancy-acceleration (MDA) relation of disk galaxies provides a key test for models of galactic dynamics. In terms of modified laws of gravity and/or inertia, the MDA relation quantifies the transition from Newtonian to modified dynamics at low centripetal accelerations $a_c{\lesssim}10^{-10}ms^{-2}$. As yet, neither dynamical models based on dark matter nor proposed modifications of the laws of gravity/inertia have predicted the functional form of the MDA relation. In this work, I revisit the MDA data and compare them to four different theoretical scaling laws. Three of these scaling laws are entirely empirical; the fourth one - the "simple ${\mu}$" function of Modified Newtonian Dynamics - derives from a toy model of gravity based on massive gravitons (the "graviton picture"). All theoretical MDA relations comprise one free parameter of the dimension of an acceleration, Milgrom's constant aM. I find that the "simple ${\mu}$" function provides a good fit to the data free of notable systematic residuals and provides the best fit among the four scaling laws tested. The best-fit value of Milgrom's constant is $a_M=(1.06{\pm}0.05){\times}10^{-10}ms^{-2}$. Given the successful prediction of the functional form of the MDA relation, plus an overall agreement with the observed kinematics of stellar systems spanning eight orders of magnitude in size and 14 orders of magnitude in mass, I conclude that the "graviton picture" is sufficient (albeit probably not a necessary nor unique approach) to describe galactic dynamics on all scales well beyond the scale of the solar system. This suggests that, at least on galactic scales, gravity behaves as if it was mediated by massive particles.

• Structural Engineering and Mechanics
• /
• 제36권4호
• /
• pp.481-497
• /
• 2010

The shaking table tests were conducted on two small-scale models (Model 1 and Model 2) to examine the earthquake-induced damage of a concrete gravity dam, which has been planned for the construction with the recommendation of the peak ground acceleration of the maximum credible earthquake of 0.42 g. This study deals with the numerical simulation of shaking table tests for two smallscale dam models. The plastic damage constitutive model is used to simulate the crack/damage behavior of the bentonite-concrete mixture material. The numerical results of the maximum failure acceleration and the crack/damage propagation are compared with experimental results. Numerical results of Model 1 showed similar crack/damage propagation pattern with experimental results, while for Model 2 the similar pattern was obtained by considering the modulus of elasticity of the first and second natural frequencies. The crack/damage initiated at the changing point in the downstream side and then propagated toward the upstream side. Crack/damage accumulation occurred in the neck area at acceleration amplitudes of around 0.55 g~0.60 g and 0.65 g~0.675 g for Model 1 and Model 2, respectively.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 2002년도 하계학술대회 논문집 D
• /
• pp.2280-2284
• /
• 2002

This study is to develop a time measure system for acceleration of gravity verification. The system can measure time interval between two points when an object passes through the points. The system has 1${\mu}$sec time resolution. The AT90S8515 microprocessor, product of ATMEL. can make 1${\mu}$sec time resolution possible connected with the 8 MHz fine crystal oscillator. The two external signals called 'start' and 'stop' have AT90S8515 that counted time intervals of the two signals. Sensors are composed of the IR beam emitting diode. TNL108 and the IR beam receiving photo diode, TNL601, produced by NEC company. In order to acquire the measurement of exactitude of the system, measure the pendulum period. Experimental result, the average period =3.0406sec with pendulum length of 2.314m. The acceleration of gravity g=$908821{\pm}6.416{\times}1^{-4}m/s^2$.

• 반도체디스플레이기술학회지
• /
• 제9권2호
• /
• pp.41-47
• /
• 2010

In this paper we suggest an improvement upon the previous method of estimating a body's attitude. This paper presents a method that overcomes the shortcomings of previous studies. Applying the method of separating the acceleration of gravity component from the accelerometer's output improves the performance of the attitude estimation and extends the scope. In order to apply the method of the attitude estimation in an actively moving body, a new acceleration value containing the acceleration of gravity is calculated. This paper also proposes the method which minimizes the estimation error in estimating the moving body's attitude which is changing rapidly. Finally, this paper suggests a method that detects the gyroscope's drift and compensates for this drift using accelerometer. Applying the method improves the performance of the attitude estimation.

• 한국광학회지
• /
• 제15권1호
• /
• pp.68-73
• /
• 2004

간섭계를 이용한 링레이저 자이로의 플렉셔 각도 측정기법이 연구되었다. Dummy mass를 추가하여 중력가속도 이상의 고가속도 환경을 구현하였으며, 이에 따른 피에조 간섭무늬의 변화로부터 자이로 입력축의 단위 중력가속도에 대한 플렉셔 각도 변화를 조사하였다. 링레이저 자이로가 가지는 플렉셔 각도 변화계수는 2.37 arcsec/g로,플렉셔 측정 반복도 오차는 0.07arcsec/g정도로 측정되었다. 플렉셔 각도를 감소시켰을 때, 링레이저 자이로 관성항법장치의 플렉셔 오차가 뚜렷이 개선됨을 확인하였다.

• 자원환경지질
• /
• 제36권5호
• /
• pp.387-389
• /
• 2003

한반도지역에서 중력 기준점 설치, 기 설치된 중력 기준점의 중력 값들의 정밀도 향상 및 중력가속도 값을 얻기 위하여, 표준연구원(KRISS)은 한 중 공동으로 1996년 10월8일∼11월8일까지, 국립지리원(NGI)은 한$.$일공동으로 1999년 12월10∼16일까지 각각 대전과 수원에서 절대 중력계(Laser Interferometry Absolute Gravimeter type NIM-II와 FG5 Absolute Gravity meter(#203))를 사용하여 절대중력관측을 수행하였다. 표준연구원과 국립지리원이 관측한 절대 중력 값은 각각 979,829.609${\pm}$006 mGal(대전), 979,918.775${\pm}$0.0001 mGal(수원)이다. 앞으로 한반도에서 지구과학분야 활성화를 위해서 더 많은 절대중력 기준점의 확보가 필요하다고 사려된다.

• 제어로봇시스템학회논문지
• /
• 제21권12호
• /
• pp.1167-1172
• /
• 2015

This paper describes the implementation of wearable AHRS for an electromagnetic motion capture system that can trace and analyze human motion on the principal nine axes of inertial sensors. The module provides a three-dimensional (3D) attitude and heading angles combining MEMS gyroscopes, accelerometers, and magnetometers based on the extended Kalman filter, and transmits the motion data to the 3D simulation via Wi-Fi to realize the unrestrained movement in open spaces. In particular, the accelerometer in AHRS is supposed to measure only the acceleration of gravity, but when a sensor moves with an external linear acceleration, the estimated linear acceleration could compensate the accelerometer data in order to improve the precision of measuring gravity direction. In addition, when an AHRS is attached in an arbitrary position of the human body, the compensation of the axis of rotation could improve the accuracy of the motion capture system.

• 물과 미래
• /
• 제29권1호
• /
• pp.163-179
• /
• 1996

본 연구에서는 일차원 St. Venat 방정식을 이용하여 한강 하류부(고안-인도교 구간)의 홍수류 특성을 분석하였다. 유한차분 모형인 NETWORK모형을 이용하여 운동량 방정식의 각항(국부가속도항, 대류가속도항, 압력항, 중력항, 마찰항)의 절대적 크기와 상대적 크기를 비교 분석하였다. 분석결과 국부가속도항과 대류가속도항이 작게 나타나고 중력항, 압력항, 마찰항 등이 대부분의 구간에서 크게 나타나서 이 세 항이 흐름을 결정하는 주요 항임을 확인할 수 있었으며 수문곡선의 상태와 하도구간에 따라서는 국부가속도항과 대류가속도항의 상대적인 비율이 무시할 수 없을 정도로 크게 나타나서 이 구간에서는 동역학적 모형이 적절한 것으로 나타났다.

• 천문학회지
• /
• 제37권4호
• /
• pp.249-255
• /
• 2004

Here we present a linear stability analysis and an MHD 2D model for the Parker-Jeans instability in the Galactic gaseous disk. The magnetic field is assumed parallel to a Galactic spiral arm, and the gaseous disk is modelled as a multi-component, magnetized, and isothermal gas layer. The model employs the observed vertical stratifications for the gas density and the gravitational acceleration in the Solar neighborhood, and the self-gravity of the gas is also included. By solving Poisson's equation for the gas density stratification, we determine the vertical acceleration due to self-gravity as a function of z. Subtracting it from the observed gravitational acceleration, we separate the total acceleration into self and external gravities. The linear stability analysis provides the corresponding dispersion relations. The time and length scales of the fastest growing mode of the Parker-Jeans instability are about 40 Myr and 3.3 kpc, respectively. In order to confirm the linear stability analysis, we have performed two-dimensional MHD simulations. These show that the Parker-Jeans instability under the self and external gravities evolves into a quasi-equilibrium state, creating condensations on the northern and southern sides of the plane, in an alternate manner.

• 대한기계학회논문집A
• /
• 제28권5호
• /
• pp.511-516
• /
• 2004

The dynamic behavior of an automatic ball balancer (ABB) is studied considering the effects of gravity and angular velocity profiles. In this study, a physical model for an ABB installed on the Jeffcott rotor is adopted in order to investigate the effects of gravity and angular acceleration. The equations of motion for the rotor with ABB are derived by using Lagrange's equation. Based on derived equations, dynamic responses for the rotor are computed by using the generalized-o method. From the computed responses, the effects of gravity and angular velocity profiles on the dynamic behavior are investigated. It is found that the balancing of the rotor with ABB can be achieved regardless of gravity. It Is also shown that a smooth velocity profile yields relatively smaller vibration amplitude than a non-smooth velocity profile.