Orbits of the n-dimensional Kepler-Coulomb problem and universality of the Kepler laws

Onder M. , VERÇİN A.

EUROPEAN JOURNAL OF PHYSICS, cilt.27, sa.1, ss.49-55, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Konu: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1088/0143-0807/27/1/005
  • Sayfa Sayıları: ss.49-55


In the standard classical mechanics textbooks used at undergraduate and graduate levels, no attention is paid to the dimensional aspects of the Kepler-Coulomb problem. We have shown that the orbits of the n-dimensional classical Kepler-Coulomb problem are the usual conic sections in a fixed two-dimensional subspace and the Kepler laws with their well-known forms are valid independent of dimension. The basic characteristics of motion in a central force field are also established in an arbitrary dimension. The approach followed is easily accessible to late undergraduate and recent graduate students.