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Observations of internal motions in globular clusters offer unique insights into the dynamics of the clusters. We have recently developed methods of high-precision astrometry with HST's WFPC2 camera, which allow us to measure internal…

Astrophysics · Physics 2007-05-23 Ivan R. King , Jay Anderson

Although the methods and techniques have been greatly improved since the late nineteenth century, the precision on the measurement of the gravitational constant G does not exceed 1 part in 1000. Intrinsic variations of G caused by the…

General Physics · Physics 2010-04-05 M. Kuassivi

Sun-like stellar oscillations are excited by turbulent convection and have been discovered in some 500 main sequence and sub-giant stars and in more than 12,000 red giant stars. When such stars are near gravitational wave sources, low-order…

Solar and Stellar Astrophysics · Physics 2015-07-14 Ilídio Lopes , Joseph Silk

In the context of relativistic positioning, the coordinates of a given user may be calculated by using suitable information broadcast by a 4-tuple of satellites. Our 4-tuples belong to the Galileo constellation. Recently, we estimated the…

General Relativity and Quantum Cosmology · Physics 2016-01-22 Neus Puchades , Diego Sáez

We derived the three-dimensional velocities of individual stars in a sample of 62 Galactic globular clusters using proper motions from the second data release of the Gaia mission together with the most comprehensive set of line-of-sight…

Astrophysics of Galaxies · Physics 2019-02-27 A. Sollima , H. Baumgardt , M. Hilker

A fault detection and isolation method for satellite rate gyros is proposed based on using the satellite-to-satellite measurements such as relative position beside orbit parameters of the primary satellite. By finding a constant of motion,…

Optimization and Control · Mathematics 2018-05-02 Amir Shakouri , Nima Assadian

The global positioning system (GPS) is composed of thirty one satellites having atomic clocks with $10^{-15}$ accuracy on board and enables one to calibrate the primary standard for frequency on the ground. Using the fact that oscillators…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Shohei Aoyama , Rina Tazai , Kiyotomo Ichiki

In this paper, we analyze 10 globular clusters in order to measure their rotational properties by using high precision radial velocity data from the SDSS-IV APOGEE-2 survey. Out of the 10 clusters we were able to successfully measure the…

The motion of satellite galaxies around normal galaxies at distances 50-500 kpc provides a sensitive test for the theories. We study the surface density and the velocities of satellites around isolated galaxies in the Sloan Digital Sky…

Astrophysics · Physics 2009-01-16 A. Klypin , F. Prada

Satellites within simulated massive clusters are significantly spatially correlated with each other, even when those satellites are not gravitationally bound to each other. This correlation is produced by satellites that entered their hosts…

Astrophysics of Galaxies · Physics 2014-07-11 Robert T. Chamberlain , Neal Dalal , Andrew Hearin , Paul Ricker

The traditional way of estimating the gravitational field from observed motions of test objects is based on the virial relation between their kinetic and potential energy. We find a more efficient method. It is based on the natural…

Astrophysics · Physics 2009-11-10 Andrei M. Beloborodov , Yuri levin

An innovative orbit determination method which makes use of gravity gradients for Low-Earth-Orbiting satellites is proposed. The measurement principle of gravity gradiometry is briefly reviewed and the sources of measurement error are…

Instrumentation and Methods for Astrophysics · Physics 2016-08-12 Xiucong Sun , Pei Chen , Christophe Macabiau , Chao Han

The laws of gravitation have been tested for a long time with steadily improving precision, leading at some moment of time to paradigmatic evolutions. Pursuing this continual effort is of great importance for science. In this communication,…

General Relativity and Quantum Cosmology · Physics 2023-04-14 A. Hees , P. Wolf , B. Lamine , S. Reynaud , M. T. Jaekel , C. Le Poncin-Lafitte , V. Lainey , V. Dehant

Space-based gravitational wave detection is based on the astrodynamical equations derived from gravitational theory to detect changes in distance between spacecraft/celestial bodies and/or their state changes caused by gravitational waves.…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Wei-Tou Ni

We measure the gravitational lensing signal around satellite galaxies in a sample of galaxy clusters at $z<0.15$ by combining high-quality imaging data from the Canada-France-Hawaii Telescope with a large sample of…

Astrophysics of Galaxies · Physics 2018-05-18 Cristóbal Sifón , Ricardo Herbonnet , Henk Hoekstra , Remco F. J. van der Burg , Massimo Viola

Fast and precise propagation of satellite orbits is required for mission design, orbit determination in support of operations and payload data analysis. This demand must also comply with the different accuracy requirements set by a growing…

Earth and Planetary Astrophysics · Physics 2020-07-07 Elena Fantinoa , Roberto Flores , Amna Adheem

In this paper, we present an overview of ASTROD (Astrodynamical Space Test of Relativity using Optical Devices) and ASTROD I mission concepts and studies. The missions employ deep-space laser ranging using drag-free spacecraft to map the…

Astrophysics · Physics 2008-11-26 Wei-Tou Ni

The subtle influence of gravitational waves on the apparent positioning of celestial bodies offers novel observational windows. We calculate the expected astrometric signal induced by an isotropic Stochastic Gravitational Wave Background…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Giorgio Mentasti , Carlo R. Contaldi

The study of satellite galaxies can provide information on the merging and aggregation processes which, according to the hierarchical clustering models, form the larger spiral galaxies we observe. With the aim of testing hierarchical models…

In this paper, we calculate the gravitational acceleration by using simple pendulums within the designated World Pendulum Alliance: a network constituted by fourteen institutions in eight countries, each provided by a pendulum that can be…