scholarly journals On the 2PN Periastron Precession of the Double Pulsar PSR J0737–3039A/B

Universe ◽  
2021 ◽  
Vol 7 (11) ◽  
pp. 443
Author(s):  
Lorenzo Iorio

One of the post-Keplerian (PK) parameters determined in timing analyses of several binary pulsars is the fractional periastron advance per orbit kPK. Along with other PK parameters, it is used in testing general relativity once it is translated into the periastron precession ω˙PK. It was recently remarked that the periastron ω of PSR J0737–3039A/B may be used to measure/constrain the moment of inertia of A through the extraction of the general relativistic Lense–Thirring precession ω˙LT,A≃−0.00060∘yr−1 from the experimentally determined periastron rate ω˙obs provided that the other post-Newtonian (PN) contributions to ω˙exp can be accurately modeled. Among them, the 2PN seems to be of the same order of magnitude of ω˙LT,A. An analytical expression of the total 2PN periastron precession ω˙2PN in terms of the osculating Keplerian orbital elements, valid not only for binary pulsars, is provided, thereby elucidating the subtleties implied in correctly calculating it from k1PN+k2PN and correcting some past errors by the present author. The formula for ω˙2PN is demonstrated to be equivalent to that obtainable from k1PN+k2PN by Damour and Schäfer expressed in the Damour–Deruelle (DD) parameterization. ω˙2PN actually depends on the initial orbital phase, hidden in the DD picture, so that −0.00080∘yr−1≤ω˙2PN≤−0.00045∘yr−1. A recently released prediction of ω˙2PN for PSR J0737–3039A/B is discussed.

2004 ◽  
Vol 190 ◽  
pp. 176-177
Author(s):  
Y. Lipkin ◽  
E. M. Leibowitz

AbstractThe classical nova V4633 Sgr (1998) exhibits two photometric periodicities. The shorter period (P1=3.01 hr) is stable, while the other one, longer by ~2.5%, has decreased monotonically since shortly after the nova eruption, with Ṗ2 ≈ –10−6 (Lipkin et al. 2001).Here we report on results of photometric monitoring of the star in 2001 and 2002. During our observations, the longer period decreased more, and in 2002 it was only 1.8% longer than P1 The decrease rate (Ṗ2) in 2001-2002 was an order of magnitude smaller than in 1998-2000.These new results support the Near-Synchronous Polar classification which was suggested for V4633 Sgr (Lipkin et al. 2001). In this model, the longer period of V4633 Sgr is the spin of the white dwarf, and its variation since 1998 reflects changes in the moment of inertia of the white dwarf, and angular momentum transfer in the system following the nova eruption.


2011 ◽  
Vol 20 (supp01) ◽  
pp. 136-140 ◽  
Author(s):  
KUANTAY BOSHKAYEV ◽  
JORGE RUEDA ◽  
REMO RUFFINI

The properties of uniformly rotating white dwarfs are analyzed within the framework of general relativity. Hartle's formalism is applied to construct self-consistently the internal and external solutions to the Einstein equations. The mass, the radius, the moment of inertia and quadrupole moment of rotating white dwarfs have been calculated as a function of both the central density and rotation period of the star. The maximum mass of rotating white dwarfs for stable configurations has been obtained.


2006 ◽  
Vol 15 (12) ◽  
pp. 2133-2140 ◽  
Author(s):  
FRED C. ADAMS ◽  
GREGORY LAUGHLIN

This paper considers general relativistic (GR) effects in currently observed extrasolar planetary systems. Although GR corrections are small, they can compete with secular interactions in these systems and thereby play an important role. Specifically, some of the observed multiple planet systems are close to secular resonance, where the dynamics is extremely sensitive to GR corrections, and these systems can be used as laboratories to test general relativity. For the three-planet solar system Upsilon Andromedae, secular interaction theory implies an 80% probability of finding the system with its observed orbital elements if GR is correct, compared with only a 2% probability in the absence of GR. In the future, tighter constraints can be obtained with increased temporal coverage.


2019 ◽  
Vol 59 (7) ◽  
pp. 43-49
Author(s):  
Igor S. Borisevich ◽  
◽  
Yury K. Kryshchenko ◽  
Evgeny N. Ofitserov ◽  
Viktor M. Pozhidaev ◽  
...  

Before scientists in science there was always a problem in predicting the physicochemical parameters of substances, in particular, members of homologous series. It often happens that data for a number of compounds of the homologous series may simply be absent. One of the most important characteristics of homologues is the boiling point. This value is directly related in gas chromatography to the retention time, however, it is impossible to create the same temperature conditions for chromatography of all compounds. On the other hand, according to some properties, for example, according to the melting temperature, the members of the series are divided into two contracts – even and odd. Phase transitions are associated with the loss or acquisition of one of the degrees of freedom. Analysis of chromatograms showed that by the retention time there is no division of the series into even and odd, which indicates the absence of adsorption of the adsorbate with the loss of the rotational degree of freedom. Based on this, the possibility of predicting these parameters using the moment of inertia of rotational motion and recurrence relations introduced into the chromatography by I. Zenkevich was investigated.


1982 ◽  
Vol 26 (5) ◽  
pp. 423-423
Author(s):  
Carol Zahner ◽  
M. Stephen Kaminaka

Suppose I ask you to select one from five identically manufactured baseball bats. Apart from surface texture and color, the dimensions and mass of the bats are exactly the same. However, as you test out the bats with a few swings you would very likely arrive at a definite preference for one or the other of the five. The mass distribution within the wood of the bat changes its feel. In mathematical terms, this difference in feel is best described by the moment of inertia. This presentation demonstrates the relationship between the measured moment of inertia of a hand implement and the users perception of the stimulus. Simple mock tools, all with the same weight and size but varying moments of inertia were rated against a standard according to the amount of moment of inertia. A functional relationship between the perception and the magnitude of the stimulus has been established. Observers of this presentation will be able to familiarize themselves with sensations and numerical values of moment of inertia of various hand tools and experimental test pieces. The measurement of moment of inertia is complicated by the geometry of the tool, the weight distribution, and the point of hand grasp. The values are unfamiliar. The concept of what causes the sensation is not simple and, as others have pointed out, our vocabularies are usually inadequate to describe what causes the change in sensation that is felt with a change in moment of inertia.


2017 ◽  
Vol 45 ◽  
pp. 1760025 ◽  
Author(s):  
Diana Alvear Terrero ◽  
Daryel Manreza Paret ◽  
Aurora Pérez Martínez

Rotating magnetized white dwarfs are studied within the framework of general relativity using Hartle’s formalism. Matter inside magnetized white dwarfs is described by an equation of state of particles under the action of a constant magnetic field which introduces anisotropic pressures. Our study is done for values of magnetic field below [Formula: see text] G - a threshold of the maximum magnetic field obtained by the cylindrical metric solution - and typical densities of WDs. The effects of the rotation and magnetic field combined are discussed, we compute relevant magnitudes such as the moment of inertia, quadrupole moment and eccentricity.


1996 ◽  
Vol 160 ◽  
pp. 513-516
Author(s):  
J. F. Bell ◽  
M. Bailes

AbstractWe propose a new way to measure accurate distances and transverse velocities for some nearby binary pulsars. In many cases the distances will be more accurately determined than is possible by annual parallax, as the relative error decreases ast−5/2. We also note that tests of the general relativistic prediction of orbital period decay of nearby relativistic binary pulsars will be limited to accuracies of a few percent. Nevertheless, PSR B1534+12 observations are consistent with general relativistic predictions if the proper-motion contribution to the orbital period derivative is accounted for.


1982 ◽  
Author(s):  
Carol Zahner ◽  
M. Stephen Kaminaka

Derrida Today ◽  
2010 ◽  
Vol 3 (1) ◽  
pp. 21-36
Author(s):  
Grant Farred

‘The Final “Thank You”’ uses the work of Jacques Derrida and Friedrich Nietzsche to think the occasion of the 1995 rugby World Cup, hosted by the newly democratic South Africa. This paper deploys Nietzsche's Zarathustra to critique how a figure such as Nelson Mandela is understood as a ‘Superman’ or an ‘Overhuman’ in the moment of political transition. The philosophical focus of the paper, however, turns on the ‘thank yous’ exchanged by the white South African rugby captain, François Pienaar, and the black president at the event of the Springbok victory. It is the value, and the proximity and negation, of the ‘thank yous’ – the relation of one to the other – that constitutes the core of the article. 1


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