Gauss' Planetary Equations in a Non-Singular Potential: Difference between revisions
Imported from text file |
infobox: unlink bare volume/issue numbers (removes redlinks to numeric titles) |
||
| (3 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox paper | {{Infobox paper | ||
| title = Gauss | | title = Gauss' Planetary Equations in a Non-Singular Potential | ||
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5408.pdf Link to paper] | | url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5408.pdf Link to paper] | ||
| author = [[Ioannis Iraklis Haranas]], [[Omiros Ragos]] | | author = [[Ioannis Iraklis Haranas]], [[Omiros Ragos]] | ||
| Line 6: | Line 6: | ||
| published = 2010 | | published = 2010 | ||
| journal = [[Proceedings of the NPA]] | | journal = [[Proceedings of the NPA]] | ||
| volume = | | volume = 7 | ||
| num_pages = 3 | | num_pages = 3 | ||
| pages = 199-201 | | pages = 199-201 | ||
| Line 15: | Line 15: | ||
==Abstract== | ==Abstract== | ||
We study the effects of a non-singular gravitational potential on satellite orbits calculating the corresponding changes of its orbital elements, using Gauss' planetary equations. We derive two non-zero expressions for the changes of the argument of the perigee and the mean anomaly, and we compare them to those derived by the general theory relativity. Using the GRACE satellite system, we obtain numerical results from which we conclude that the effect of such a potential, on the perigee cannot be separated from that of general relativity. Furthermore we conclude that the effect on the mean anomaly can probably be observed by today's technology. | We study the effects of a non-singular gravitational potential on satellite orbits calculating the corresponding changes of its orbital elements, using Gauss' planetary equations. We derive two non-zero expressions for the changes of the argument of the perigee and the mean anomaly, and we compare them to those derived by the general theory relativity. Using the GRACE satellite system, we obtain numerical results from which we conclude that the effect of such a potential, on the perigee cannot be separated from that of general relativity. Furthermore we conclude that the effect on the mean anomaly can probably be observed by today's technology. | ||
[[Category:Relativity]] | [[Category:Scientific Paper|gauss ' planetary equations non-singular potential]] | ||
[[Category:Relativity|gauss ' planetary equations non-singular potential]] | |||
Latest revision as of 09:37, 21 July 2026
| Scientific Paper | |
|---|---|
| Title | Gauss' Planetary Equations in a Non-Singular Potential |
| Read in full | Link to paper |
| Author(s) | Ioannis Iraklis Haranas, Omiros Ragos |
| Keywords | Gauss' planetary equations, non-singular potential, Grace |
| Published | 2010 |
| Journal | Proceedings of the NPA |
| Volume | 7 |
| No. of pages | 3 |
| Pages | 199-201 |
Read the full paper here
Abstract
We study the effects of a non-singular gravitational potential on satellite orbits calculating the corresponding changes of its orbital elements, using Gauss' planetary equations. We derive two non-zero expressions for the changes of the argument of the perigee and the mean anomaly, and we compare them to those derived by the general theory relativity. Using the GRACE satellite system, we obtain numerical results from which we conclude that the effect of such a potential, on the perigee cannot be separated from that of general relativity. Furthermore we conclude that the effect on the mean anomaly can probably be observed by today's technology.