Abstract
In this paper, we show that the orbit of a point mass under a central force f(r)=-αr-2-βr-3 is realized as the hyperbolic curve FA(1,x,y)=0 associated with a nilpotent matrix A. On the contrary, we show that the orbit of motion of particles of infinitesimal mass in the gravitational field described by Schwarzschild geodesic metric is transcendental. In this case, the transcendental orbit has no determinantal representations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.