Analytical solutions for the Newtonian gravitational field induced by matter within axisymmetric boundaries

Details Analytical solutions for the Newtonian gravitational field induced by matter within axisymmetric boundaries Analytical solutions for the Newtonian gravitational field induced by matter within axisymmetric boundaries

Aug 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000mnras.316..540c&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 316, Issue 3, pp. 540-554.

Astronomy and Astrophysics

Astronomy

13

Gravitation, Methods: Analytical, Celestial Mechanics, Stellar Dynamics, Galaxies: General

Scientific paper

An analytical method originally applied to the problem of the actuator disc in fluid mechanics has been applied to the closely analogous problem of constructing the classical Newtonian potential and attractions. The method can treat axisymmetric problems and also non-axisymmetric cases where matter is confined within axisymmetric boundaries. The potential and attractions for the generalized thin finite disc can be given in closed form in terms of elliptic integrals and elementary functions. For the general case of matter within an axisymmetric boundary, the potentials and attractions can be evaluated as one-dimensional integrals of albeit complex analytical expressions. These expressions represent the fields induced by matter in an extended region as a distribution of gravitating discs. For certain special cases, such as matter bounded by a circular cylinder and also for matter distributed in a spherical region, closed-form solutions can be given that appear to be new. Some non-axisymmetric results are also given for the thin disc of infinite radial extent.

Affiliated with

Also associated with

No associations

Rating

Analytical solutions for the Newtonian gravitational field induced by matter within axisymmetric boundaries 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 Analytical solutions for the Newtonian gravitational field induced by matter within axisymmetric boundaries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical solutions for the Newtonian gravitational field induced by matter within axisymmetric boundaries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-740837