Estimate for the decay rate of the general term of the laplace series for the geopotential

Other

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

The exact estimates with respect to the uniform (Chebyshev) norm of the general term V n of the Laplace series in spherical harmonics for the gravitational potential of a planet are known to be functions of the differential properties of distribution of masses. However, it is difficult to use them in practice because the norm for large n is difficult to calculate. The mean square (Euclidean) norm, however, is used almost entirely in applied research, and so the translation of the estimates from one norm to the other can be effected only in particular cases. In the present paper, a power law estimate of the general term of the Laplace series with respect to the mean square norm is obtained, and its parameters are evaluated numerically. For the EGM2008 geopotential model (Pavlis et al., 2008), the exponent ranges between 2.7 and 3.4. Preliminary calculations are made for a model body for which the harmonic factors are known exactly. A cautious conclusion is made: the geopotential model put forward is capable of adequately describing spherical harmonics for n ≤ 1000; for 1000 ≤ n ≤ 2000 the model gives a correct description, at least qualitatively; for larger n the spherical harmonics of the model do not correspond to reality.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Estimate for the decay rate of the general term of the laplace series for the geopotential 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 Estimate for the decay rate of the general term of the laplace series for the geopotential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Estimate for the decay rate of the general term of the laplace series for the geopotential will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1533714

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.