Effect of Shadow of the Earth Due to Solar Radiation Pressure, Magnetic Force and Earth’s Oblateness on the Non-Linear Oscillation of the System in a Circular Orbit of the Centre of Mass of the Systems

Vijay Kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V9P517

International Journal of Mathematics Trends and Technology

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Volume 9 | Number 2 | Year 2014 | Article Id. IJMTT-V9P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V9P517

Effect of Shadow of the Earth Due to Solar Radiation Pressure, Magnetic Force and Earth’s Oblateness on the Non-Linear Oscillation of the System in a Circular Orbit of the Centre of Mass of the Systems

Vijay Kumar

Citation :

Vijay Kumar, "Effect of Shadow of the Earth Due to Solar Radiation Pressure, Magnetic Force and Earth’s Oblateness on the Non-Linear Oscillation of the System in a Circular Orbit of the Centre of Mass of the Systems," International Journal of Mathematics Trends and Technology (IJMTT), vol. 9, no. 2, pp. 148-152, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V9P517

Abstract

We have studied the non-linear oscillation of the system of the satellites connected by light, flexible and extensible cable under the influence of magnetic force, the shadow of the earth due to solar radiation pressure and earth oblateness in the case of circular orbit of the Centre of mass of the system. The non-linear terms present in the equations of motion of the system are taken into consideration. First of all we have derived equations of motion for non-linear oscillations of the system having almost periodic oscillations due to Malkin. An attempt has been made to analyse the motion and stability of the system analytically. As there is no periodic terms in the equation of motion, so only non-resonant solution have been obtained and shown to be stable.

Keywords

Stability, Solar radiation pressure, Earth Magnetic force, Satellites, Circular orbit, Oblateness of earth.

References

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