Development of general functional form of the gravitational potential: Addressing the Flatness Problem in Galactic Rotation Curves

Document Type : Letter


1 Department of Physics, Government Degree College, Tangmarg, Kashmir, 193402 India

2 Department of Physics, Government Degree College Tangmarg, Jammu and Kashmir


This letter presents a mathematical model that may help address the long-standing problem of galaxy rotation curves. The strategy involves exploring the variation of circular velocity `ν' with respect to radial distance `r' as a result of which a Bessel differential equation is developed, yielding a general functional form of the potential as a Bessel function. Employing this potential in the case of galaxies, we find the velocity profile in terms of Bessel functions. This approach establishes Bessel functions as a powerful choice for investigating galactic rotation and deepening our understanding of the universe.


Main Subjects

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Volume 3, Issue 4
November 2023
Pages 1-4
  • Receive Date: 22 September 2023
  • Revise Date: 01 October 2023
  • Accept Date: 06 October 2023