Trajectory of scattered alpha particle

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SUMMARY

The discussion centers on the trajectory of scattered alpha particles in Rutherford's famous experiment, where alpha particles with a +2e charge are repulsed by the nucleus through Coulomb force, resulting in a deflection angle, theta. The trajectory exhibits asymptotes, indicating that the particles exit along these lines post-repulsion. Participants seek guidance on setting up the experiment and solving the Coulomb (Kepler) problem, noting that in a non-relativistic approximation, the scattering solutions are hyperbolic or parabolic in nature.

PREREQUISITES
  • Understanding of Coulomb's Law and electrostatic forces
  • Familiarity with hyperbolic and parabolic trajectories
  • Knowledge of non-relativistic physics principles
  • Basic experience with experimental setup in particle physics
NEXT STEPS
  • Research the mathematical derivation of hyperbolic and parabolic trajectories in scattering problems
  • Learn about the experimental setup for alpha particle scattering experiments
  • Explore the implications of Coulomb's Law in particle interactions
  • Study the Kepler problem and its applications in non-relativistic physics
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Physics students, researchers in particle physics, and educators looking to understand or teach the principles of alpha particle scattering and Coulomb interactions.

KT KIM
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This is a famous experiment conducted by Rutherford, in this exprement, the alpha particle(+2e charge) repulsed from necleus by coulomb force, and eventually divert its trajectory by theta.

I want to show the trajectory of alpha particle has asympotes which means it go out along that asympote line after repulsed by neculeus.

Can anybody help me how to set up, how to start and what precedure should I follow.
 
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Solve the Coulomb (Kepler) problem. In non-relativistic approximation the scattering (unbound) solutions are hyperbolae (or parabolae).
 

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