Radial motion in a central potential for singular mass densities

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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Veröffentlicht in:American journal of physics 2011-05, Vol.79 (5), p.521-526
Hauptverfasser: Zürcher, Ulrich, Kaufman, Miron
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0002-9505
1943-2909
DOI:10.1119/1.3549737