Skip to main content

A numerical technique for the solution of Poisson's equation for flattened, centrally condensed objects

Publication ,  Journal Article
Simon, SA
Published in: Astrophys. J. (USA)
1979

A computational method for obtaining the gravitational potential of an object with azimuthal and equatorial symmetry is presented. The method is tested by comparison with a closed, analytic solution obtained for a class of flattened, centrally condensed spheroids. Additional comparison is made with the commonly used technique introduced by Ostriker and Mark (1968) in their calculations using the self-consistent field method. It is found that the present method gives results with errors an order of magnitude smaller for highly centrally condensed structures while using less computer time and memory

Duke Scholars

Published In

Astrophys. J. (USA)

DOI

Publication Date

1979

Volume

228

Issue

1

Start / End Page

357 / 363

Related Subject Headings

  • Astronomy & Astrophysics
  • 0306 Physical Chemistry (incl. Structural)
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Simon, S. A. (1979). A numerical technique for the solution of Poisson's equation for flattened, centrally condensed objects. Astrophys. J. (USA), 228(1), 357–363. https://doi.org/10.1086/156853
Simon, S. A. “A numerical technique for the solution of Poisson's equation for flattened, centrally condensed objects.” Astrophys. J. (USA) 228, no. 1 (1979): 357–63. https://doi.org/10.1086/156853.
Simon, S. A. “A numerical technique for the solution of Poisson's equation for flattened, centrally condensed objects.” Astrophys. J. (USA), vol. 228, no. 1, 1979, pp. 357–63. Manual, doi:10.1086/156853.

Published In

Astrophys. J. (USA)

DOI

Publication Date

1979

Volume

228

Issue

1

Start / End Page

357 / 363

Related Subject Headings

  • Astronomy & Astrophysics
  • 0306 Physical Chemistry (incl. Structural)
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences