Investigation of Periodic Orbits in Elliptical Galaxies Using the Method of Implicit Functions

Details Investigation of Periodic Orbits in Elliptical Galaxies Using the Method of Implicit Functions Investigation of Periodic Orbits in Elliptical Galaxies Using the Method of Implicit Functions

Jan 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..63..271j&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 63, Issue 3-4, pp. 271-287

Astronomy and Astrophysics

Astronomy

1

Periodic Orbits, Implicit Functions, Elliptical Galaxies

Scientific paper

Existence of periodic orbits inside elliptical galaxies has been investigated. Necessary conditions for regular, small amplitude periodic motion around the center of galaxy have been derived using implicit functions and solved by approximating through Taylor's series. The solution procedure requires to obtain functions of partial derivatives of dependent variables with respect to initial conditions. Derivation of these functions can be accomplished through solving a set of ordinary differential equations by proper choices of associated initial conditions. The results obtained show complete agreement with those obtained through the application of Poincaré-Lindstedt's method.

Affiliated with

Also associated with

No associations

Rating

Investigation of Periodic Orbits in Elliptical Galaxies Using the Method of Implicit Functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Investigation of Periodic Orbits in Elliptical Galaxies Using the Method of Implicit Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Investigation of Periodic Orbits in Elliptical Galaxies Using the Method of Implicit Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-969955