Maitra, Matthew and Al-Attar, David (2019) A non-perturbative method for gravitational potential calculations within heterogeneous and aspherical planets. Geophysical Journal International, 219 (2). pp. 1043-1055. ISSN 0956-540X DOI https://doi.org/10.1093/gji/ggz346
![]() |
Text
ggz346.pdf - Published Version Download (2MB) |
Abstract
We present a numerically exact method for calculating the internal and external gravitational potential of aspherical and heterogeneous planets. Our approach is based on the transformation of Poisson’s equation into an equivalent equation posed on a spherical computational domain. This new problem is solved in an efficient iterative manner based on a hybrid pseudospectral/spectral element discretization. The main advantage of our method is that its computational cost reflects the planet’s geometric and structural complexity, being in many situations only marginally more expensive than boundary perturbation theory. Several numerical examples are presented to illustrate the method’s efficacy and potential range of applications.
Item Type: | Article |
---|---|
Uncontrolled Keywords: | 2019AREp; IA75 |
Subjects: | 02 - Geodynamics, Geophysics and Tectonics |
Divisions: | 02 - Geodynamics, Geophysics and Tectonics 08 - Green Open Access 12 - PhD |
Journal or Publication Title: | Geophysical Journal International |
Volume: | 219 |
Page Range: | pp. 1043-1055 |
Identification Number: | https://doi.org/10.1093/gji/ggz346 |
Depositing User: | Sarah Humbert |
Date Deposited: | 15 Nov 2019 13:36 |
Last Modified: | 15 Nov 2019 13:36 |
URI: | http://eprints.esc.cam.ac.uk/id/eprint/4531 |
Actions (login required)
![]() |
View Item |