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To evaluate a potential usually one analyzes trajectories of test particles. For the Galactic Center case astronomers use bright stars or photons, so there are two basic observational techniques to investigate a gravitational potential,…

General Relativity and Quantum Cosmology · Physics 2019-01-25 Alexander Zakharov

The impact of formation flying on interferometry is growing over the years for the potential performance it could offer. However, it is still an open field, and many studies are still required. This article presents the basic principles…

Earth and Planetary Astrophysics · Physics 2024-02-22 Cristina Erbeia , Francesca Scala , Camilla Colombo

We provide an analytical approximation to the dynamics in each of the three most important low order secondary resonances (1:1, 2:1, and 3:1) bifurcating from the synchronous primary resonance in the gravitational spin-orbit problem. To…

Earth and Planetary Astrophysics · Physics 2019-05-07 Ioannis Gkolias , Christos Efthymiopoulos , Alessandra Celletti , Giuseppe Pucacco

We focus on the fact that light-pulse atom interferometers measure the atoms' acceleration with only three data points per drop. As a result, the measured effect of the gravity gradient is systematically larger than the true one, an error…

Atomic Physics · Physics 2020-02-19 Anna M. Nobili , Alberto Anselmi , Raffaello Pegna

We describe a Simplified Gravitational Reference Sensor (S-GRS), an ultra-precise inertial sensor for future Earth geodesy missions. These sensors are used to measure or compensate for all non-gravitational accelerations of the host…

It is customary to perform analysis of the Earth's rotation in two steps: first, to present results of estimation of the Earth orientation parameters in the form of time series based on a simplified model of variations of the Earth's…

Astrophysics · Physics 2010-12-14 L. Petrov

We analyze the trajectories of three geostationary satellites forming the GEOstationary GRAvitational Wave Interferometer (GEOGRAWI)~\cite{tinto}, a space-based laser interferometer mission aiming to detect and study gravitational radiation…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Massimo Tinto , Jose C. N. de Araujo , Helio K. Kuga , Marcio E. S. Alves , Odylio D. Aguiar

High-Frequency (HF) radar is well suited to the surveillance of low-Earth-orbit space. For large targets, a small deployable HF radar is able to match the detection performance of much larger space surveillance radar systems operating at…

The scope of the paper is to propose different concepts for future space gravity missions using Cold Atom Interferometers (CAI) for measuring the diagonal elements of the gravity gradient tensor, the spacecraft angular velocity and the…

Finding the physical location of a specific network node is a prototypical task for navigation inside a wireless network. In this paper, we consider in depth the implications of wireless communication as a measurement input of…

Robotics · Computer Science 2014-09-29 Christian Blum , Verena V. Hafner

This paper explores the problem of analytically approximating the orbital state for a subset of orbits in a rotating potential with oblateness and ellipticity perturbations. This is done by isolating approximate differential equations for…

Earth and Planetary Astrophysics · Physics 2022-02-02 Ethan Burnett , Hanspeter Schaub

Stochastic optimization problems with unknown decision-dependent distributions have attracted increasing attention in recent years due to its importance in applications. Since the gradient of the objective function is inaccessible as a…

Optimization and Control · Mathematics 2025-10-30 Yuya Hikima , Akiko Takeda

The detection of gravitational waves opened up a new window to look into the Universe by probing phenomena invisible through electromagnetic observations. As gravitational waves interact very weakly with matter, their detection is…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Soumen Roy , Bruno Bertrand , Justin Janquart

Significant progress has been made in recent years on the development of gravitational wave detectors. Sources such as coalescing compact binary systems, neutron stars in low-mass X-ray binaries, stellar collapses and pulsars are all…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 Matthew Pitkin , Stuart Reid , Sheila Rowan , Jim Hough

GravityCam is a new concept of ground-based imaging instrument capable of delivering significantly sharper images from the ground than is normally possible without adaptive optics. Advances in optical and near infrared imaging technologies…

This paper presents an orbit estimation using non-simultaneous horizon detector measurements in the presence of uncertainties in the celestial body rotational velocity and its geometrical characteristics. The celestial body is modelled as a…

Instrumentation and Methods for Astrophysics · Physics 2018-05-01 Amir Shakouri , Mahdi Hazrati Azad , Nima Assadian

Astrometry, the precise measurement of star motions, offers an alternative avenue to investigate low-frequency gravitational waves through the spatial deflection of photons, complementing pulsar timing arrays reliant on timing residuals.…

General Relativity and Quantum Cosmology · Physics 2024-05-06 Mesut Çalışkan , Yifan Chen , Liang Dai , Neha Anil Kumar , Isak Stomberg , Xiao Xue

A broad class of hybrid quantum-classical algorithms known as "variational algorithms" have been proposed in the context of quantum simulation, machine learning, and combinatorial optimization as a means of potentially achieving a quantum…

Quantum Physics · Physics 2021-04-09 Aram Harrow , John Napp

Both in terrestrial and extraterrestrial environments, the precise and informative model of the ground and the surface ahead is crucial for navigation and obstacle avoidance. The ground surface is not always flat and it may be sloped, bumpy…

Machine Learning · Computer Science 2022-10-20 Pouria Mehrabi , Hamid D. Taghirad

Superconducting gravimeters are the most sensitive instruments to measure surface gravity changes at low frequencies. Currently, about twenty five superconducting gravimeters are operating in the world and their global network has been…

General Relativity and Quantum Cosmology · Physics 2009-09-30 Sachie Shiomi