Journal of Theoretical and Applied Physics (JTAP) Analytical solution of Rayleigh-Taylor instability in a Hall thruster having double-ionized ions Volume 17 (2023) JTAP Issue 5, November & December 2023 2023 11 17 Analytical solution of Rayleigh-Taylor instability in a Hall thruster having double-ionized ions 10.57647/j.jtap.2023.1705.53 EN Dhananjay Verma Plasma Science and Technology Laboratory, Department of Physics, Indian Institute of Technology Delhi, New Delhi 110016, India Hitendra K. Malik Plasma Science and Technology Laboratory, Department of Physics, Indian Institute of Technology Delhi, New Delhi 110016, India 0000-0002-9432-8140 Journal Article 2023 11 17 A modified Rayleigh-Taylor (RT) instability equation is derived using a three-fluid Hall thruster plasma model by including multi-ionized ions to study the growth rate of the RT instability. For a simplified plasma density and electron drift velocity axial profile, the growth rate for an unstable wave and the condition leading to this instability are discussed. A possible analytical solution for the modified Rayleigh-Taylor equation is discussed along with the condition that leads to it. For double-ionized ions, the behavior of growth rate and perturbed potential for different densities of double-ionized ions are studied.