On the Expansion of the Rotational Eigenfrequencies in Legendre Polynomials

Details On the Expansion of the Rotational Eigenfrequencies in Legendre Polynomials On the Expansion of the Rotational Eigenfrequencies in Legendre Polynomials

Mar 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...326..486d&link_type=abstract

Astrophysical Journal v.326, p.486

Astronomy and Astrophysics

Astronomy

11

Analytical Methods, Sun: Oscillations, Sun: Rotation

Scientific paper

In the context of helioseismology, it has become customary to fit data using Δv(n, l, m) ≡ v(n, l, m) - v(n, l) = L ΣN i=0 ai Pi(-m/L) (Duvall, Harvey, and Pomerantz) where v is the frequency of the nth p-mode averaged over m, the Pi are Legendre polynomials and L = [(l + 1)l]1/2. It is shown here that, instead, it is advantageous to use the following expansion for v(n, l, m) - v(n, l): v(n, l, m) - v(n, l) = m Σ N i=0 bi Pi (m/L). In this case the bi's are simply related to the coefficients which determine the angular velocity, leading to the expectation that we can more accurately determine the internal rotation of the Sun from the extant helioseismological data.

Affiliated with

Also associated with

No associations

Rating

On the Expansion of the Rotational Eigenfrequencies in Legendre Polynomials 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 On the Expansion of the Rotational Eigenfrequencies in Legendre Polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Expansion of the Rotational Eigenfrequencies in Legendre Polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1671055