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Related papers: The Orbital Pericenter Precession in the 2PN Appro…

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Over two decades of exoplanetology have yielded thousands of discoveries, yet some types of systems are yet to be observed. Circumstellar planets around one star in a binary have been found, but not for tight binaries (< 5 AU).…

Earth and Planetary Astrophysics · Physics 2017-01-25 David V. Martin

In the Double Pulsar, the Lense-Thirring periastron precession $\dot\omega^\mathrm{LT}$ should be measured by the end of this decade. The analyses recently appeared in the literature rely upon a formula for $\dot\omega^\mathrm{LT,\,A}$…

General Relativity and Quantum Cosmology · Physics 2021-08-23 Lorenzo Iorio

We derive the conservative secular evolution of precessing compact binaries to second post-Newtonian order accuracy, with leading-order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. The emerging closed system of…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Márton Tápai , Zoltán Keresztes , László Árpád Gergely

In this article the quasi-Keplerian parameterisation for the case that spins and orbital angular momentum in a compact binary system are aligned or anti-aligned with the orbital angular momentum vector is extended to 3PN point-mass,…

General Relativity and Quantum Cosmology · Physics 2015-12-08 Manuel Tessmer , Johannes Hartung , Gerhard Schäfer

We present lower bounds for the orbit length of reduction modulo primes of parametric polynomial dynamical systems defined over the integers, under a suitable hypothesis on its set of preperiodic points over $\mathbb C$. Applying recent…

Number Theory · Mathematics 2017-02-09 Mei-Chu Chang , Carlos D'Andrea , Alina Ostafe , Igor E. Shparlinski , Martin Sombra

We have made timing observations of binary pulsar PSR B1534+12 with radio telescopes at Arecibo, Green Bank, and Jodrell Bank. By combining our new observations with data collected up to seven years earlier, we obtain a significantly…

We analytically derive the secular changes of the orbital parameters, i.e., energy, angular momentum, and Carter constant, for general bound orbits in Kerr spacetime, at leading order in the mass ratio, through the 6th post-Newtonian (6PN)…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Norichika Sago , Ryuichi Fujita , Soichiro Isoyama , Hiroyuki Nakano

Binary-black-hole orbits precess when the black-hole spins are mis-aligned with the binary's orbital angular momentum. The apparently complicated dynamics can in most cases be described as simple precession of the orbital angular momentum…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Stephen Fairhurst , Rhys Green , Charlie Hoy , Mark Hannam , Alistair Muir

Binary and multiple star systems are extreme environments for the formation and long-term presence of extrasolar planets. Circumstellar planets are subject to gravitational perturbations from the distant companion star, and this interaction…

Earth and Planetary Astrophysics · Physics 2019-08-06 Ákos Bazsó , Elke Pilat-Lohinger

The paper by Popova et al. presents an oversimplified mathematical model of solar activity with a claim of predicting/postdicting it for several millennia ahead/backwards. The work contains several flaws devaluating the results: (1) the…

Solar and Stellar Astrophysics · Physics 2017-10-17 Ilya G. Usoskin

In order to study precession and interstellar magnetic field variations, we measured the polarized position angle of 81 pulsars at several-month intervals for four years. We show that the uncertainties in a single-epoch measurement of…

Solar and Stellar Astrophysics · Physics 2010-08-04 Joel M. Weisberg , John E. Everett , James M. Cordes , Justin J. Morgan , Drew G. Brisbin

Using speckle-interferometry we have carried out repeated measurements of relative positions for the components of 34 T Tauri binary systems. The projected separation of these components is low enough that orbital motion is expected to be…

Astrophysics · Physics 2009-11-06 J. Woitas , R. Koehler , Ch. Leinert

The linear in mass ratio correction to the periapsis advance of equatorial orbits around a spinning black hole is calculated for the first time and to very high precision, providing a key benchmark for different approaches modelling…

General Relativity and Quantum Cosmology · Physics 2017-01-11 Maarten van de Meent

This paper deals with the problem of astrometric determination of the orbital elements of the outer planets, in particular by assessing the ability of astrometric observations to detect perturbations of the sort expected from the Pioneer…

Earth and Planetary Astrophysics · Physics 2010-01-15 Gary L. Page , John F. Wallin , David S. Dixon

This article reviews the many new results from neutrino oscillation searches which were presented at ICHEP '98. Exciting indications of neutrino oscillations have been seen in the solar neutrino deficit, atmospheric neutrino deficit and…

High Energy Physics - Experiment · Physics 2007-05-23 J. M. Conrad

We consider the solid-solid interactions in the two body problem. The relative equilibria have been previously studied analytically and general motions were numerically analyzed using some expansion of the gravitational potential up to the…

Earth and Planetary Astrophysics · Physics 2009-02-09 G. Boue , J. Laskar

The observation data for artificial celestial body 43096, which had been obtained during 2006-2012 within the framework of international project "The Scientific Network of Optical Instruments for Astrometric and Photometric Observations" -…

Earth and Planetary Astrophysics · Physics 2014-04-18 A. A. Bazyey , N. V. Bazyey , V. I. Kashuba , S. G. Kashuba , V. V. Kouprianov , I. E. Molotov , Z. N. Khutorovsky , L. G Tsybizova

We analytically compute, to linear order in the mass-ratio, the "geodetic" spin precession frequency of a small spinning body orbiting a large (non-spinning) body to the eight-and-a-half post-Newtonian order, thereby extending previous…

General Relativity and Quantum Cosmology · Physics 2014-07-23 Donato Bini , Thibault Damour

We construct an efficient frequency domain waveform for generic circular compact object binaries that include neutron stars. The orbital precession is solved on the radiation reaction timescale (and then transformed to the frequency…

General Relativity and Quantum Cosmology · Physics 2023-08-28 Michael LaHaye , Huan Yang , Béatrice Bonga , Zhenwei Lyu

Recently, Jaekel and Reynaud put forth a metric linear extension of general relativity which, in the intentions of its proponents, would be able, among other things, to provide a gravitational mechanism for explaining the Pioneer anomaly…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio