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In this paper we present a rather extensive error budget for the difference of the perigees of a pair of supplementary SLR satellites aimed to the detection of the Lense-Thirring effect.

广义相对论与量子宇宙学 · 物理学 2007-11-12 Lorenzo Iorio

The geodetic and frame-dragging effects are the direct consequences of the spacetime curvature near Earth which can be probed from the Gravity probe B (GP-B) satellite. The satellite result matches quite well with Einstein's general…

高能物理 - 唯象学 · 物理学 2022-11-23 Tanmay Kumar Poddar

Recently it has been suggested to use the perigee of the proposed LARES/WEBER-SAT satellite in order to measure the secular precession which would be induced on such Keplerian orbital element by a weak-field modification of gravity…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Lorenzo Iorio

We comment on a recent study reporting evidence for the general relativistic Lense-Thirring secular precession of the inclination $I$ of the orbital plane to the plane of the sky of the tight binary system PSR J1141-6545 made of a white…

广义相对论与量子宇宙学 · 物理学 2020-06-03 Lorenzo Iorio

Between May 10-12, 2024, Earth saw its largest geomagnetic storm in over 20 years. Since the last major storm in 2003, the population of satellites in low Earth orbit has surged following the commercialization of space services and the…

地球与行星天体物理 · 物理学 2025-01-17 William E. Parker , Richard Linares

The detection of some tiny gravitomagnetic effects in the field of the Earth by means of artificial satellites is a very demanding task because of the various other perturbing forces of gravitational and non-gravitational origin acting upon…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Lorenzo Iorio

We analytically calculate the time series for the perturbations $\Delta\rho(t),~\Delta\dot\rho(t)$ induced by a general disturbing acceleration $\boldsymbol{A}$ on the mutual range $\rho$ and range-rate $\dot\rho$ of two test particles…

广义相对论与量子宇宙学 · 物理学 2018-03-19 Lorenzo Iorio

We employ differential astrometric methods to establish a small field reference frame stable at the micro-arcsecond ($\mu$as) level on short timescales using high-cadence simulated observations taken by Gaia in February 2017 of a bright…

天体物理仪器与方法 · 物理学 2019-02-20 Ummi Abbas , Beatrice Bucciarelli , Mario G. Lattanzi

We report on a new test of the gravitational redshift and thus of local position invariance, an integral part of the Einstein equivalence principle, which is the foundation of general relativity and all metric theories of gravitation. We…

The geodesics of bound spherical orbits i.e. of orbits performing Lense-Thirring precession, are obtained in the case of the $\Lambda$-term within gravito-electromagnetic formalism. It is shown that the presence of the $\Lambda$-term in the…

广义相对论与量子宇宙学 · 物理学 2020-11-18 A. Stepanian , Sh. Khlghatyan , V. G. Gurzadyan

The Gravity Probe B (GP-B) satellite experiment will measure the precession of on-board gyroscopes to extraordinary accuracy. Such precessions are predicted by General Relativity (GR), and one component of this precession is the…

综合物理 · 物理学 2007-05-23 Reginald T. Cahill

Pose-Graph optimization is a crucial component of many modern SLAM systems. Most prominent state of the art systems address this problem by iterative non-linear least squares. Both number of iterations and convergence basin of these…

机器人学 · 计算机科学 2018-09-05 Irvin Aloise , Giorgio Grisetti

This paper is related to our previous works [1][2] on the error estimate of the averaging technique, for systems with one fast angular variable. In the cited references, a general method (of mixed analytical and numerical type) has been…

数学物理 · 物理学 2011-02-22 Carlo Morosi , Livio Pizzocchero

In this paper the possibility of measuring some general relativistic effects in the gravitational field of the Moon via selenodetic missions, with particular emphasis to the future Japanese SELENE mission, is investigated. For a typical…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Lorenzo Iorio

According to general relativity, a spinning body of mass M and angular momentum S, like a star or a planet, generates a gravitomagnetic field which induces, among other phenomena, also the Lense-Thirring effect, i.e. secular precessions of…

广义相对论与量子宇宙学 · 物理学 2009-11-30 Lorenzo Iorio

Normal form stability estimates are a basic tool of Celestial Mechanics for characterizing the long-term stability of the orbits of natural and artificial bodies. Using high-order normal form constructions, we provide three different…

动力系统 · 数学 2021-10-13 Irene De Blasi , Alessandra Celletti , Christos Efthymiopoulos

We study the impact of relativistic gravitational deflection of light on the accuracy of future Space Interferometry Mission (SIM). We estimate the deflection angles caused by the monopole, quadrupole and octupole components of…

广义相对论与量子宇宙学 · 物理学 2009-07-24 Slava G. Turyshev

We numerically investigate the impact of GTR on the orbital part of the satellite-to-satellite range \rho and range-rate \dot\rho of the twin GRACE A/B spacecrafts through their dynamical equations of motion integrated in an Earth-centered…

广义相对论与量子宇宙学 · 物理学 2012-06-12 Lorenzo Iorio

The Universality of Free Fall and the Weak Equivalence Principle, which are at the basis of General Relativity, have been confirmed to 1 part in 10^13. Space experiments with macroscopic test masses of different composition orbiting the…

广义相对论与量子宇宙学 · 物理学 2017-01-04 Anna M. Nobili

We propose a method to account for the Earth oblateness effect in preliminary orbit determination of satellites in low orbits with radar observations. This method is an improvement of the one described in (Gronchi et al 2015), which uses a…

空间物理 · 物理学 2018-10-24 Helene Ma , Giovanni F. Gronchi , Davide Bracali Cioci