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 by Using Unperturbed Solution

Yadav, Sushil Kumar; Kumar, Virendra; Aggarwal, Rajiv

doi:10.1007/s00601-022-01744-2

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2023

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“…Also, they have examined the resonance under the gravity of the Sun, the Moon, and the Earth, including EEE. Yadav et al(2022) 14 analyzed the impact of EEE on the resonant curves using an unperturbed solution. Also, they discussed the phase portrait of the geocentric satellite under the gravitational force of the Earth, the Moon, and the Sun.…”

Section: Literature Reviewmentioning

confidence: 99%

Effect of Resistive Force and Earth’s Ellipticity on Resonant Curves of Geo-centric Satellite Using Unperturbed Solution

2023

ijcih

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This research paper examines the impact of the resistive force and equatorial ellipticity of the Earth (EEE) on the motion of a geocentric satellite. We express a satellite's motion in a spherical coordinate system using potential of the Earth. We apply an unperturbed solution to simplify and reduce the equations into an ODE of secondorder. After that, we analyze the resonant curves and oscillatory amplitudes using the differential equation's particular solution. We observe that the resonance arises for the frequencies ϑ ˙0 (satellite's angular velocity) and ˙γ (rate of change of EEE). Further, we analyze motion of the satellite in the three different cases: (i) ϕ = 0 and b = 0, (ii) ϕ = 0 and b 6= 0, and (iii) ϕ = 06 and b 6= 0, with b as a coefficient of resistive force and ϕ as a latitude of satellite. Later, we examine the effect of γ, b, and orbital elements on each case's resonant curves and oscillatory amplitudes.

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Section: Literature Reviewmentioning

confidence: 99%

Effect of Resistive Force and Earth’s Ellipticity on Resonant Curves of Geo-centric Satellite Using Unperturbed Solution

2023

ijcih

View full text Add to dashboard Cite

show abstract

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 by Using Unperturbed Solution

Cited by 1 publication

References 20 publications

Effect of Resistive Force and Earth’s Ellipticity on Resonant Curves of Geo-centric Satellite Using Unperturbed Solution

Effect of Resistive Force and Earth’s Ellipticity on Resonant Curves of Geo-centric Satellite Using Unperturbed Solution

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