Dynamics of resonances and equilibria of Low Earth Objects

A Celletti, C Gales - SIAM Journal on Applied Dynamical Systems, 2018 - SIAM
The nearby space surrounding the Earth is densely populated by artificial satellites and
instruments, whose orbits are distributed within the Low-Earth-Orbit (LEO) region, ranging …

Resonant curves of geo-centric satellite under the gravitational effect of the Earth-Moon-Sun system including Earth's equatorial ellipticity and resistive force using …

S Yadav, V Kumar, R Aggarwal - Advances in Space Research, 2022 - Elsevier
This research article presents the effect of the Earth's equatorial ellipticity and the resistive
force on a geocentric satellite's resonant curves. The resonance occurs in the motion of the …

Analysis of resonant curves and phase portrait in the earth–moon system by using its unperturbed solution and earth's equatorial ellipticity

S Yadav, V Kumar, M Kumar - New Astronomy, 2022 - Elsevier
In this research article, we have investigated resonant curves due to the rate of change of
earth's equatorial ellipticity parameter (γ ̇), steady-state value of the angular velocity of the …

Analysis of Resonant Curve and Phase Portrait Due to Earth's Equatorial Ellipticity In the Earth-Moon System Using Perturbation Technique

S Yadav, M Kumar, V Kumar - Journal of Dynamical Systems and …, 2022 - Taylor & Francis
In this paper, the resonance due to equatorial ellipticity of Earth, spin rate of Earth and
angular velocity of bary-center are investigated. Using spherical coordinate system, we have …

(R2033) Resonant Curve Due to Perturbations of Geo-Synchronous Satellite including Effect of Earth's Equatorial Ellipticity

S Yadav, M Kumar, V Kumar - Applications and …, 2023 - digitalcommons.pvamu.edu
In this paper, we have investigated resonant curve due to frequencies− angular rate of
rotation of the Earth and the rate of change of Earth's equatorial ellipticity parameter …

Effect of Earth's Equatorial Ellipticity on the Resonant Curve and Phase Portrait of Geo-centric Satellite Under the Gravitational Effect of the Earth–Moon–Sun System …

S Yadav, V Kumar, R Aggarwal - Few-Body Systems, 2022 - Springer
In this article, we investigated the resonant curves of geo-centric satellite due to the rate of
change in earth's equatorial ellipticity parameter (γ˙), moon's angular velocity around the …

Dynamics of Resonant Curves of Earth-Moon system under the influence of Resistive Force using Unperturbed Solution

S Yadav, V Kumar, R Aggarwal, B Kaur - 2023 - researchsquare.com
This work investigates the dynamical behavior of the resonant curves in the motion of the
Earth-Moon system under the influence of resistive force. In this study, the resonance arises …

Resonant Curve Due to Perturbations of Geo-Synchronous Satellite Including Effect of Earth's Equatorial Ellipticity.

S Yadav, M Kumar, V Kumar - Applications & Applied …, 2023 - search.ebscohost.com
In this paper, we have investigated resonant curve due to frequencies-angular rate of
rotation of the Earth and the rate of change of Earth's equatorial ellipticity parameter …

The unified ideal model of mean motion resonance of artificial satellites due to geopotential perturbations

MJ Zhang, CY Zhao, YQ Xiong, RY Sun… - Science China Physics …, 2013 - Springer
Abstract From Kaula's Earth gravitational potential written in classical orbital elements, the
unified ideal model of mean motion resonance of artificial satellites due to geopotential …

(R1889) Analysis of Resonant Curve in the Earth-Moon System under the Effect of Resistive Force and Earth's Equatorial Ellipticity

S Yadav, M Kumar, R Aggarwal - Applications and …, 2022 - digitalcommons.pvamu.edu
In the present paper, we have determined the equations of motion of the Moon in spherical
coordinate system using the gravitational potential of Earth. Using perturbation, equations of …