Separable systems of coordinates for triangular Newton equations q¨i = Mi(q1,..., qi)
2007 (English)In: Studies in applied mathematics (Cambridge), ISSN 0022-2526, Vol. 118, no 1, 45-84 p.Article in journal (Refereed) Published
Triangular form of Newton equations is a strong property. Together with the existence of a single quadratic with respect to velocities integral of motion, it usally implies existence of further n - 1 integrals that are also quadratic. These integrals make the triangular system separable in new type of coordinates. The separation coordinates are built of quadric surfaces that are nonorthogonal and noconfocal and can intersect along lower dimensional singular manifolds. We present here separability theory for n-dimensional triangular systems and analyze the structure of separation coordinates in two and three dimensions. © 2007 by the Massachusetts Institute of Technology.
Place, publisher, year, edition, pages
2007. Vol. 118, no 1, 45-84 p.
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-50033DOI: 10.1111/j.1467-9590.2007.00363.xOAI: oai:DiVA.org:liu-50033DiVA: diva2:270929