Қазақ ұлттық қыздар педагогикалық университеті / Казахский национальный женский педагогический университет

Постоянный URI для этого сообществаhttps://cris.qyzpu.edu.kz/handle/123456789/1

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2024 - 20263

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Автор: search.filters.author.Nurzada BeissenЕсть файлы: Да

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    The Influence of Deformation in Compact Objects on Redshift and Radar Echo Delay
    (Al-Farabi Kazakh National University, 2024-03-19)
    Nurzada Beissen
    ;
    D.S. Utepova
    ;
    V.N. Kossov
    ;
    S. Toktarbay
    ;
    M.K. Khassanov
    The analogy between optics and mechanics provides a unified way to describe particle motion in mechanics and light propagation in geometrical optics, and recent publications have demonstrated that this analogy can also be applied to general relativity, specifically when dealing with static metrics. In this paper, we use the material medium approach to obtain the refractive index associated with the gravitational field of a compact object having a quadrupole moment. Within this approach, we explore well-known effects of general relativity such as redshift and radar echo delay, deriving mathematical expressions for these phenomena taking into account the influence of the quadrupole moment.
    Цитирования (OpenAlex) 1
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    Adiabatic theory in Kerr spacetimes
    (Springer Science+Business Media, 2024-05-01)
    Kuantay Boshkayev
    ;
    Gulmira Nurbakyt
    ;
    Hernando Quevedo
    ;
    Gulnara Suliyeva
    ;
    Abylaikhan Tlemissov
    Цитирования (OpenAlex) 3Цитирования (OpenCitations) 3
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    NUMERICAL STUDY OF ORBITAL STABILITY IN THE RELATIVISTIC RESTRICTED THREE-BODY PROBLEM
    (2026-03-29)
    Ayazhan Orazymbet
    ;
    Aliya Taukenova
    ;
    Daniya Utepova
    ;
    Nurzada Beissen
    ;
    N. Sandibayeva
    This paper presents a numerical study of the relativistic restricted three-body problem within the framework of General Relativity. Using the Lagrangian and Hamiltonian formalisms, the equations of motion with relativistic corrections up to the order of 1/c2 were derived and solved numerically in Wolfram Mathematica. The developed model allows one to analyze orbital stability under small relativistic perturbations. Numerical simulations were performed using the Runge–Kutta integration method for three systems: “Earth–Sun–Moon,” “Earth–Sun– Mercury,” and an equal-mass configuration. The results confirm the stability of circular orbits and reproduce the observed relativistic precession of Mercury’s perihelion. For the equal-mass system, the calculations reveal a transition from quasi-periodic to chaotic motion, depending on the initial conditions. The study demonstrates the reliability and efficiency of the Mathematica environment for modeling nonlinear relativistic dynamics and shows that the proposed approach can be useful for further research in celestial mechanics and gravitational physics.