Scattering

Benacquista, Matthew J.; Romano, Joseph D.

doi:10.1007/978-3-319-68780-3_5

Matthew J. Benacquista⁷ &
Joseph D. Romano⁷

Part of the book series: Undergraduate Lecture Notes in Physics ((ULNP))

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Abstract

Here we will look in detail at unbound systems, for which either the central force is repulsive or the incoming particle has sufficiently large kinetic energy that the total energy of the system is positive. In this chapter, we develop the tools needed to calculate the deflection angles of two particles as a function of the impact parameter and initial velocity of the incoming particle.

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Notes

1.
The Astronomical Unit AU is the mean distance between the Earth and the Sun.
2.
See also Problem 4.8. The expression for \(U_\mathrm{eff}(r)\) given in (5.104) differs from that in (4.169) by the presence of the constant energy term \(\mu c^2/2\). This does not change the equations of motion, only the value of the total energy.

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Authors and Affiliations

Department of Physics and Astronomy, University of Texas Rio Grande Valley, Brownsville, TX, USA
Matthew J. Benacquista & Joseph D. Romano

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Matthew J. Benacquista
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Joseph D. Romano
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Correspondence to Joseph D. Romano .

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Benacquista, M.J., Romano, J.D. (2018). Scattering. In: Classical Mechanics. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-68780-3_5

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DOI: https://doi.org/10.1007/978-3-319-68780-3_5
Published: 28 February 2018
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-68779-7
Online ISBN: 978-3-319-68780-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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