A higher-order perturbation theory for the rotation of a uniaxial satellite under gravity-gradient torque demonstrates that known special configurations of the attitude dynamics at which the satellite rotates, on average, as in a torque-free state, are only the result of an early truncation of the secular frequencies of motion. In addition to providing a deeper insight into the dynamics, the hi...

In this paper, a problem on Rayleigh surface wave in an isotropic micropolar elastic solid half-space with impedance boundary conditions is investigated. It is assumed that the normal force traction, shear force traction and shear couple traction vary linearly with the normal displacement component, tangential displacement component and microrotation component multiplied by the frequency, where...

As Turkey is officially a secular state and it adopts Swiss Civil Code, thestate implements secular legal system. However, as people in Turkey are predominantlyMuslim and theyare born and raised in a traditionally Muslim environment,people generally and especially women live under the influence of these two sometimescontradictory and inconsistent legal systems and customs. As a result, thereare...

We consider the secular-perturbation expansion of the classical Hamiltonian equations of motion for three mutually gravitating bodies, and we use the formalism to study the dynamical evolution of hierarchical three-body systems to octupole-level accuracy. Our study is partly motivated by recent observations of exoplanetary systems, which may include two giant planets strongly perturbing each ot...

background: iran, a low- to middle-income country, has experienced considerable socioeconomic changes in 20 th century, which their impacts on the adult heights has not been assessed deeply by now. this article aims to quantify the temporal varia­tions of height (with respect to shrinkage of height due to aging) and its deterministic factors in iranian population born be­tween 1940 and 1984. me...

Due to its artificial and unnatural structure, Israeli society has since the beginning of its establishment, been a context for the emergence of different kinds of cleavages and tensions. This state of affairs has endangered the political stability of the Israeli regime. The present research is trying to answer this question: what is the effect of religious-secular cleavages in Israel on the fu...

Applying the recently developed dynamical perturbation formalism on cosmological background to scalar-tensor theory, we provide a solid theoretical basis and a rigorous justification for phenomenological models of orbital dynamics that are currently used to interpret experimental measurements of the timedependent gravitational constant. We derive the field equations for the scalar-tensor pertur...

We derive analytical expressions for the change in the orbital eccentricity of a binary following a distant encounter with a third star on a hyperbolic or parabolic orbit. To establish the accuracy of these expressions, we present detailed comparisons with the results of direct numerical integrations of the equations of motion for the three bodies. We treat with particular care the di cult case...

The Lagrange planetary equations are used to study to secular evolution of a small, eccentric satellite that orbits within a narrow gap in a broad, selfgravitating planetary ring. These equations show that the satellite’s secular perturbations of the ring will excite a very long-wavelength spiral density wave that propagates away from the gap’s outer edge. The amplitude of these waves, as well ...