Analytical Approximate Solution of a Coupled Two Frequency Hill's Equation

Varun Saxena

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arXiv · 2008.05525

Analytical Approximate Solution of a Coupled Two Frequency Hill's Equation

Varun Saxena

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Abstract

A coupled two frequency Hill's equation is solved. Analytically approximate solution correct up-to first order is derived using modified Lindstedt Poincare perturbation method. For a wide range of controlling parameters we compare the numerical and analytical solutions. The solution is the first step towards developing a comprehensive understanding of the electrodynamics of charged particles in a combinational ion trap utilizing both electrostatic DC and RF fields along with a constant static magnetic field with prospects of confining antimatter such as anti hydrogen for a reasonably long durations of time.

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Varun Saxena. 2020-08-12. Analytical Approximate Solution of a Coupled Two Frequency Hill's Equation. https://arxiv.org/abs/2008.05525

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