Radial Motion in A Central Potential for Singular Mass Densities

Ulrich Zürcher; Miron Kaufman; Ulrich Zurcher

doi:10.1119/1.3549737

Radial Motion in A Central Potential for Singular Mass Densities

Ulrich Zürcher
, Miron Kaufman
, Ulrich Zurcher

Cleveland State University

Research output: Contribution to journal › Article › peer-review

Abstract

We study the radial motion of an object in the gravitational field produced by an isotropic mass density that is singular at the origin. This problem applies to elliptical galaxies and can be used to illustrate motion in a central field appropriate for an intermediate-level mechanics course.

Original language	American English
Journal	American Journal of Physics
Volume	79
DOIs	https://doi.org/10.1119/1.3549737
State	Published - Apr 1 2011

Disciplines

Physics

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title = "Radial Motion in A Central Potential for Singular Mass Densities",

abstract = " We study the radial motion of an object in the gravitational field produced by an isotropic mass density that is singular at the origin. This problem applies to elliptical galaxies and can be used to illustrate motion in a central field appropriate for an intermediate-level mechanics course.",

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AB - We study the radial motion of an object in the gravitational field produced by an isotropic mass density that is singular at the origin. This problem applies to elliptical galaxies and can be used to illustrate motion in a central field appropriate for an intermediate-level mechanics course.

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VL - 79

JO - American Journal of Physics

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Radial Motion in A Central Potential for Singular Mass Densities

Abstract

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