The conservative dephasing effects of gravitational self forces for extreme mass-ratio inspirals are studied. Both secular and non-secular conservative effects may have a significant effect on LISA waveforms that is independent of the mass ratio of the system. Such effects need to be included in generated waveforms to allow for accurate gravitational wave astronomy that requires integration tim...

Azerbaijan has a population of more than 10 million, which women accounted for 50% in 2020. At the same time, 93% Azerbaijan’s citizens describe themselves as Muslims. Since beginning independence, been secular state by virtue Article 48 Constitution, guarantees freedom worship, choice, or nonpractice religion and expression one’s own views on religion. This article aims to assess changes self-...

This paper shows that functional derivatives of the probability generating functional (PGFL) of a finite point process can be calculated using ordinary derivatives. The result is new, and it is potentially useful to the class of Bayesian multitarget tracking problems that is based on finite point process models for targets and measurements. In this class, the distribution of the Bayes posterior...

Updating Kormendy & Kennicutt (2004, ARA&A, 42, 603), we review internal secular evolution of galaxy disks. One consequence is the growth of pseudobulges that often are mistaken for true (merger-built) bulges. Many pseudobulges are recognizable as cold, rapidly rotating, disky structures. Bulges have Sérsic function brightness profiles with index n > ∼ 2 while most pseudobulges have n < ∼ 2. Re...

We evaluate the accuracy of Tully's surface hopping algorithm for the spin-boson model in the limit of small to moderate reorganization energy. We calculate transition rates between diabatic surfaces in the exciton basis and compare against exact results from the hierarchical equations of motion; we also compare against approximate rates from the secular Redfield equation and Ehrenfest dynamics...

The dynamics of small bodies around the Earth has gained a renewed interest, since the awareness of the problems that space debris can cause in the nearby future. A relevant role in space debris is played by lunisolar secular resonances, which might contribute to an increase of the orbital elements, typically of the eccentricity. We concentrate our attention on the lunisolar secular resonance d...

The Council for Secular Humanism identifies Secular Humanism as a "way of thinking and living" committed to rejecting authoritarian beliefs and embracing "individual freedom and responsibility ... and cooperation." The paradigmatic practices of psychiatry are civil commitment and insanity defense, that is, depriving innocent persons of liberty and excusing guilty persons of their crimes: the co...

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 the...

We investigate the long time stability of the Sun–Jupiter–Saturn–Uranus system by considering the planar, secular model. Our ethod may be considered as an extension of Lagrange’s theory for the secular motions. Indeed, concerning the planetary orbital evolutions, we improve the classical circular approximation by replacing it with a torus which is invariant up to order two in he masses; therefo...

Coupling effects of Earth oblateness and direct solar radiation pressure on the motion of an artificial satellite are evaluated. Secular and periodic terms are retained up to order three and two respectively, where the coefficient 2 J of the second zonal harmonic of the geopotential is considered of first order. The solution revealed the existence of secular terms at order three that arises fro...