The Experts below are selected from a list of 13848 Experts worldwide ranked by ideXlab platform
James M. Hill - One of the best experts on this subject based on the ideXlab platform.
-
Post-Newtonian satellite Orbits
Astrophysics and Space Science, 2018Co-Authors: Joseph O’leary, James M. HillAbstract:The first post-Newtonian approximation of general relativity is used to account for the motion of solar system bodies and near-Earth objects which are slow moving and produce weak gravitational fields. The n $n$ -body relativistic Equations of motion are given by the Einstein-Infeld-Hoffmann Equations. For n = 2 $n=2$ , we investigate the associated dynamics of two-body systems in the first post-Newtonian approximation. By direct integration of the associated planar Equations of motion, we deduce a new expression that characterises the Orbit of test particles in the first post-Newtonian regime generalising the well-known Binet Equation for Newtonian mechanics. The expression so obtained does not appear to have been given in the literature and is consistent with classical Orbiting theory in the Newtonian limit. Further, the accuracy of the post-Newtonian Binet Equation is numerically verified by comparing secular variations of known expression with the full general relativistic Orbit Equation.
Ahmed Mostafa - One of the best experts on this subject based on the ideXlab platform.
-
Use of an Energy-Like Integral to Study the Motion of an Axi-Symmetric Satellite under Drag and Radiation Pressure
International Journal of Astronomy and Astrophysics, 2015Co-Authors: Ahmed MostafaAbstract:The axi-symmetric satellite problem including radiation pressure and drag is treated. The Equations of motion of the satellite are derived. An energy-like is given for a general drag force function of the polar angle θ, and then it is used to find a relation for the Orbit Equation of the satellite with initial conditions satisfying the vanishing of arbitrarily choosing higher derivatives of the velocity.
-
The motion of axisymmetric satellite with drag and radiation pressure
Astrophysics and Space Science, 2014Co-Authors: S. M. Elshaboury, Ahmed MostafaAbstract:The axisymmetric satellite problem including radiation pressure and drag is treated. The Equations of motion of the satellite are derived. The energy-like and Laplace-like invariants of motion have been derived for a general drag force function of the polar angle, and the Laplace-like invariant is used to find the Orbit Equation in the case of a spherical satellite. Then using the small parameter, the Orbit of the satellite is determined for an axisymmetric satellite.
Joseph O’leary - One of the best experts on this subject based on the ideXlab platform.
-
Post-Newtonian satellite Orbits
Astrophysics and Space Science, 2018Co-Authors: Joseph O’leary, James M. HillAbstract:The first post-Newtonian approximation of general relativity is used to account for the motion of solar system bodies and near-Earth objects which are slow moving and produce weak gravitational fields. The n $n$ -body relativistic Equations of motion are given by the Einstein-Infeld-Hoffmann Equations. For n = 2 $n=2$ , we investigate the associated dynamics of two-body systems in the first post-Newtonian approximation. By direct integration of the associated planar Equations of motion, we deduce a new expression that characterises the Orbit of test particles in the first post-Newtonian regime generalising the well-known Binet Equation for Newtonian mechanics. The expression so obtained does not appear to have been given in the literature and is consistent with classical Orbiting theory in the Newtonian limit. Further, the accuracy of the post-Newtonian Binet Equation is numerically verified by comparing secular variations of known expression with the full general relativistic Orbit Equation.
Minvydas Ragulskis - One of the best experts on this subject based on the ideXlab platform.
-
Comments on “Two exact solutions to the general relativistic Binet’s Equation”
Astrophysics and Space Science, 2013Co-Authors: Zenonas Navickas, Minvydas RagulskisAbstract:In their recent manuscript He and Zeng claim that they have solved the general relativistic Binet’s Orbit Equation using the exp-function method and have obtained two exact solutions useful for theoretical analysis. We argue that the obtained solutions do not satisfy the original differential Equation. Moreover, we present the alternative framework for the solution of the general relativistic Binet’s Orbit Equation.
S. M. Elshaboury - One of the best experts on this subject based on the ideXlab platform.
-
The motion of axisymmetric satellite with drag and radiation pressure
Astrophysics and Space Science, 2014Co-Authors: S. M. Elshaboury, Ahmed MostafaAbstract:The axisymmetric satellite problem including radiation pressure and drag is treated. The Equations of motion of the satellite are derived. The energy-like and Laplace-like invariants of motion have been derived for a general drag force function of the polar angle, and the Laplace-like invariant is used to find the Orbit Equation in the case of a spherical satellite. Then using the small parameter, the Orbit of the satellite is determined for an axisymmetric satellite.