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Research Article

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

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Pages 275-298 | Received 11 Jan 2021, Accepted 17 Aug 2022, Published online: 13 Nov 2022

References

  • Aggarwal, R., Yadav, S., Kaur, B.: A study of resonance in a geocentric satellite including its lattitude and second order tesseral harmonic due to earth’s equatorial ellipticity. International Journal of Engineering and Management Research. pp. 649-661, 2250–0758 (2015)
  • Andreade-Ines E., Robutel P.: Secular dynamics of multiplanetary circumbinary system: stationary solutions and binary-planet secular resonance. Celest Mech Dyn Astr. 130:6 (2018)
  • Brown E.W., Shook C.A.: Planetary Theory. Cambridge University Press, Cambridge (1933)
  • Formiga, J. K. S., Moraes, R. V. de:15:1 Resonance effects on the orbital motion of artificial satellites. J. Aerosp. Technol. Manag. vol.3, n.3, pp.251-258, 2175–9146 (2011) doi: 10.5028/jatm.2011.03032011
  • Frick, R. H. and Garber, T.B.: Perturbation of Synchronous Satellite, The RAND Corporation, R-399, NASA, (1962)
  • Kudelcikova, M., Merciakova, E.: Stability and Phase Portraits for Simple Dynamical Systems: Civil and Environmental Engineering, Volume 14: Issue 2 (2018)
  • Kaur, C., Sharma, B. K., Pandey, L.P.: Resonance in the motion of the geo-centric satellite due to Polynting-Robertson drag and equatorial ellipticity of the earth. Application and Applied Mathemtics: An International Journal (AAM), 1932–9466, (2018)
  • Licea, M. A. R., Perez-Pinal, F. J., Perez, J. C. N.: On the n-Dimensional Phase Portraits: Applied Sciences 9(5):872 (2019)
  • Sampaio, J. C., Moraes, R. V. de., Silva Fernades, S. da.: The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2 : 1 Resonance: Hindawi Puublishing Corporation Mathematical Problems in Engineering, Volume 2012, 405870 (2012)
  • Shamolin, M. V.: Phase Portraits of Dynamical Equations of Motion of a Rigid Body in a Resistive Medium: Journal of Mathematical Sciences volume 233, pages398425(2018)
  • Shaw, S., Holmes, P.: A periodic forced piecewise linear oscillator. Journal of Sound and Vibration, Elsevier, 10.1016/0022-460X(83)90407-8 (1983)
  • Yadav, S., Aggarwal, R.: Resonance in a geo-centric satellite due to earth’s equatorial ellipticity. Astrophys Space Sci., 349(2), 727-743 (2013)
  • Yadav, S., Kumar, V., Aggarwal, R.: Existence and Stability of Equilibrium Points in the Problem of Geo-Centric Satellite Including Earth’s Equatorial Ellipticity. Nonlinear Dynamics and System Theory, 19(4) 537–550 (2019)
  • Yadav, S., Kumar, V., Kumar, M.: Analysis of resonant curves and phase portrait in the earthmoon system by using its unperturbed solution and earths equatorial ellipticity. New Astronomy, 92, 101716, (2022).

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