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We consider the impact of second order corrections to the geodesic equation governing gravitational lensing. We start from the full second order metric, including scalar, vector and tensor perturbations, and retain all relevant…

天体物理学 · 物理学 2008-11-26 S. Dodelson , E. W. Kolb , S. Matarrese , A. Riotto , P. Zhang

Disagreement in estimations of the observed acceleration of Phobos yields several theories empirically modifying classical description of motion of the satellite, but its orbital positions detected by Mars-aimed spacecraft differ from…

综合物理 · 物理学 2012-02-15 Alexander P. Yefremov

Being able to provide latency guarantees for orbital edge computing applications through Low Earth Orbit (LEO) satellite constellations is a major milestone for their integration into 5G and 6G networks. However, achieving this is…

网络与互联网体系结构 · 计算机科学 2026-05-12 Nicolai Dalsgaard Lyholm , Beatriz Soret , Tijana Devaja , Thomas Grundgaard Mulvad , Cedomir Stefanovic , Israel Leyva-Mayorga

In this paper the effect of the post-Newtonian gravitomagnetic force on the mean longitudes $l$ of a pair of counter-rotating Earth artificial satellites following almost identical circular equatorial orbits is investigated. The possibility…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Lorenzo Iorio , Herbert I. M. Lichtenegger

We investigate equatorial geodesics in the gravitational field of a rotating and deformed source described by the approximate Hartle-Thorne metric. In the case of massive particles, we derive within the same approximation analytic…

广义相对论与量子宇宙学 · 物理学 2016-02-03 Kuantay Boshkayev , Hernando Quevedo , Marzhan Abutalip , Zhanerke Kalymova , Sharara Suleymanova

In a previous paper, using ergodic theory, Lo [1] derived a simple definite integral that provided an estimate of the view periods of ground stations to satellites. This assumes the satellites are in circular orbits with non-repeating…

地球与行星天体物理 · 物理学 2020-10-14 Andrew J. Graven , Martin W. Lo

Two new intermediary orbits of the artificial satellite problem are proposed. The analytical solutions include higher order effects of the Geopotential, and are obtained by means of a torsion transformation applied to the quasi-Keplerian…

动力系统 · 数学 2016-12-28 Denis Hautesserres , Martin Lara

We investigate the rudiments of Riemannian geometry on orbit spaces $M/G$ for isometric proper actions of Lie groups on Riemannian manifolds. Minimal geodesic arcs are length minimising curves in the metric space $M/G$ and they can hit…

微分几何 · 数学 2007-05-23 Dmitry Alekseevsky , Andreas Kriegl , Mark Losik , Peter W. Michor

The concept for space interferometry from Polar or Equatorial Circular Medium Earth Orbits (the PECMEO concept) is a promising way to acquire the image of the "shadow" of the event horizon of Sagittarius A* with an angular resolution of…

天体物理仪器与方法 · 物理学 2021-05-17 V. Kudriashov , M. Martin-Neira , I. Barat , P. Martin Iglesias , E. Daganzo-Eusebio , N. Alagha , V. Valenta

We present a novel test of general relativity (GR): measuring the geometric component of the time delay due to gravitational lensing. GR predicts that photons and gravitational waves follow the same geodesic paths and thus experience the…

宇宙学与河外天体物理 · 物理学 2020-02-19 David Rubin , Istvan Szapudi , Benjamin J. Shappee , Gagandeep S. Anand

The Center for Astrophysics,Space Physics, and Engineering Research (CASPER) has completed construction and calibration of a Light Gas Gun (LGG), which is used for low velocity impact studies. At geosynchronous orbit, space debris can…

综合物理 · 物理学 2007-05-23 Jorge Carmona , Mike Cook , Jimmy Schmoke , Katie Harper , Jerry Reay , Lorin Matthews , Truell Hyde

The development of large constellations of satellites (i.e., so-called megaconstellations or satcons) is poised to increase the number of LEO satellites by more than an order of magnitude in the coming decades. Such a rapid growth of…

地球与行星天体物理 · 物理学 2022-12-26 Sarah Thiele , Aaron C. Boley

The distinction between the mean anomaly $\mathcal{M}(t)$ and the mean anomaly at epoch $\eta$, and the mean longitude $l(t)$ and the mean longitude at epoch $\epsilon$ is clarified in the context of a possible use of such orbital elements…

广义相对论与量子宇宙学 · 物理学 2019-10-07 Lorenzo Iorio

Recent investigations (e.g. Han et al. 2001) have shown that fitting the Hipparcos observations with an orbital model when the astrometric wobble caused by the companion is below the noise level can have rather unexpected consequences. With…

天体物理学 · 物理学 2009-11-07 D. Pourbaix

Quantifying long-term statistical properties of satellite trajectories typically entails time-consuming trajectory propagation. We present a fast, ergodic\cite{Arnold} method of analytically estimating these for $J_2-$perturbed elliptical…

地球与行星天体物理 · 物理学 2021-02-09 Andrew J. Graven , Alan H. Barr , Martin W. Lo

Geometric optics effectively describes the propagation of electromagnetic waves when the wavelength is much smaller than the characteristic length scale of the medium, making wave phenomena like diffraction negligible. As a result, light…

广义相对论与量子宇宙学 · 物理学 2025-02-06 Sebastian Murk , Daniel R. Terno , Rama Vadapalli

Analogous to magnetism in electrodynamics, it is gravitomagnetism in relativistic gravity. Since gravity determines locally inertial frames, in general relativity (GR) and other relativistic theories of gravity, frame-dragging with source…

广义相对论与量子宇宙学 · 物理学 2025-04-17 Dongfeng Gao , Wei-Tou Ni

The effects of Horava-Lifshitz corrections to the gravito-magnetic field are analyzed. Solutions in the weak field, slow motion limit, referring to the motion of a satellite around the Earth are considered. The post-newtonian paradigm is…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Ninfa Radicella , Gaetano Lambiase , Luca Parisi , Gaetano Vilasi

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…

广义相对论与量子宇宙学 · 物理学 2015-09-23 Massimo Tinto , Jose C. N. de Araujo , Helio K. Kuga , Marcio E. S. Alves , Odylio D. Aguiar

We test a sample of satellites of isolated primary galaxies, extracted from the 2dF Galaxy Redshift Survey (2dFGRS), for any tendency to be aligned along (or against) the primary-to-satellite radius vector. If tidal effects induce such an…

天体物理学 · 物理学 2009-11-07 G. M. Bernstein , P. Norberg