A new proof of the convergence of the Laplace series on physical surfaces of planets

Details A new proof of the convergence of the Laplace series on physical surfaces of planets A new proof of the convergence of the Laplace series on physical surfaces of planets

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984mvsfa..25...22c&link_type=abstract

Moskovskii Universitet, Vestnik, Seriia 3 - Fizika, Astronomiia (ISSN 0579-9392), vol. 25, Jan.-Feb. 1984, p. 22-28. In Russian.

Mathematics

Gravitational Fields, Planetary Gravitation, Planetary Surfaces, Planetology, Convergence, Laplace Equation, Potential Theory, Series (Mathematics)

Scientific paper

It is shown that the external gravitational potential of a planet can be represented as a spherical-function series which converges everywhere on and outside the physical surface if the normalized power dispersion of terrain height is governed by a specified condition and the density of surface masses is an analytic function of coordinates. This proof indicates that the integration of a divergent series can lead to its convergence.

Affiliated with

Also associated with

No associations

Rating

A new proof of the convergence of the Laplace series on physical surfaces of planets 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 A new proof of the convergence of the Laplace series on physical surfaces of planets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new proof of the convergence of the Laplace series on physical surfaces of planets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1858959