Statistics – Computation
Scientific paper
Apr 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003eaeja.....6829b&link_type=abstract
EGS - AGU - EUG Joint Assembly, Abstracts from the meeting held in Nice, France, 6 - 11 April 2003, abstract #6829
Statistics
Computation
Scientific paper
We present a method to compute gravity inside and outside a planet with density lateral variations and lateral variations of interfaces. The computations are done nonlinearly and therefore apply for large asphericity, such as those on Mars and the Moon. So far, the methods already developped only allow the evaluation of the gravity field at a single given altitude. In addition, these methods use Clebsch-Gordan coefficients for the computation of lateral variations effects and are thus computer intensive, allowing only the study of large scale structures. Our method is based on a propagation of a solution from a given height to the center of the planet. In order to reduce the computation time all the lateral variations effects and the angular derivations are performed using Legendre tranforms between the physical and spectral domains. Such approach reduces by ell^2 the amount of computation, thereby allowing non-linear modeling to be performed for models with high angular degrees. This method allows to take into account the high amplitude topography of Mars (such as Tharsis rise and its volcanoes, valles marineris...) where the mass-sheet approximation (small amplitudes) is not adapted and misunterprets the gravity signal (for example, the approximation tends to increase the gravity on the tharsis volcanoes and therefore need to introduce exess masses). The computation is adapted to the modeling of gravity fields for model with lateral variations larger than 100 in angular orders and might therefore be used for a rapid modeling of the gravity fields of Mars, the Moon and the Earth at tectonic scales. We present first examples of applications for the crustal models of mars.
Belléguic V.
Lognonné Philippe
No associations
LandOfFree
Non-linear computation of the gravity field of an aspherical planet 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 Non-linear computation of the gravity field of an aspherical planet, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-linear computation of the gravity field of an aspherical planet will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-843571