International Journal of Vehicle Structures and Systems

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Resonance in the Motion of Geocentric Satellites due to Poynting-Robertson Drag


Affiliations
1 Dept of Mathematics, S.G.T.B. Khalsa College, University of Delhi, India
2 Dept of Mathematics, S.B.S. College, University of Delhi, Delhi, India
3 T.M. Bhagalpur University, Bhagalpur, India
 

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The problem of resonance in a geocentric synchronous satellite under the gravitational forces of the Sun and the Earth subject to Poynting-Robertson (P-R) drag is the subject matter of this paper. Based on the assumption that the two bodies the Earth and the Sun lie in ecliptic plane and the satellite in the orbital plane. Five resonance points results from commensurability between the mean motion of the satellite and the average angular velocity of the Earth. Out of all resonance, the 3:2 and 1:2 resonance occurs only due to velocity dependent terms of P-R drag. We have determined the amplitude and time period of the oscillation in two different cases at those resonance points.

Keywords

Three-Body Problem, Ecliptic Plane, Resonance, Poynting-Robertson Drag, Geocentric Satellites.
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  • Resonance in the Motion of Geocentric Satellites due to Poynting-Robertson Drag

Abstract Views: 258  |  PDF Views: 123

Authors

Charanpreet Kaur
Dept of Mathematics, S.G.T.B. Khalsa College, University of Delhi, India
Binay Kumar Sharma
Dept of Mathematics, S.B.S. College, University of Delhi, Delhi, India
M. Shahbaz Ullah
T.M. Bhagalpur University, Bhagalpur, India

Abstract


The problem of resonance in a geocentric synchronous satellite under the gravitational forces of the Sun and the Earth subject to Poynting-Robertson (P-R) drag is the subject matter of this paper. Based on the assumption that the two bodies the Earth and the Sun lie in ecliptic plane and the satellite in the orbital plane. Five resonance points results from commensurability between the mean motion of the satellite and the average angular velocity of the Earth. Out of all resonance, the 3:2 and 1:2 resonance occurs only due to velocity dependent terms of P-R drag. We have determined the amplitude and time period of the oscillation in two different cases at those resonance points.

Keywords


Three-Body Problem, Ecliptic Plane, Resonance, Poynting-Robertson Drag, Geocentric Satellites.



DOI: https://doi.org/10.4273/ijvss.10.1.15