High zonal harmonics of rapidly rotating planets

Details High zonal harmonics of rapidly rotating planets High zonal harmonics of rapidly rotating planets

Jul 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...199..504h&link_type=abstract

Astrophysical Journal, vol. 199, July 15, 1975, pt. 1, p. 504-516.

Computer Science

Sound

13

Astronomical Models, Perturbation Theory, Planetary Rotation, Zonal Harmonics, Angular Velocity, Density Distribution, Jupiter (Planet), Legendre Functions, Planetary Gravitation, Polynomials, Saturn (Planet)

Scientific paper

A new perturbation expansion is derived for the structure of rotating bodies in hydrostatic equilibrium. The method uses an expansion of the density on Legendre polynomial functions of angle, and can be developed analytically in a manner analogous to the standard level-surface perturbation theory. The new theory proceeds from a prescribed pressure-density relation rather than from a prescribed density distribution, and is both simpler and more physically transparent than the level-surface approach. High zonal harmonics are shown to arise via a transfer function involving derivatives of the interior sound velocity, and via mixing of multipole density components in the outer shell of the planet. Sample calculations for polytropic sequences are presented, as well as standard gravity models for Jupiter and Saturn. Mathematical subleties of the theory are discussed in an appendix.

Affiliated with

Also associated with

No associations

Rating

High zonal harmonics of rapidly rotating 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 High zonal harmonics of rapidly rotating planets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and High zonal harmonics of rapidly rotating planets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1755203