Abstract
In this paper, we show by means of a diffeomorphism that when approximating the planet Saturn by a sphere, the errors associated with the spherical geopotential approximation are so significant that this approach is rendered unsuitable for any rigorous mathematical analysis.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2327-2336 |
| Number of pages | 10 |
| Journal | Communications on Pure and Applied Analysis |
| Volume | 21 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2022 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
Keywords
- Atmospheric flow
- spherical geopotential approximation