| { | |
| "id": "AsNL00", | |
| "url": "https://www.bmtdynamics.org/cgi-bin/display.pl?name=AsNL00", | |
| "title": "Verified Integration of Dynamics in the Solar System", | |
| "pdfs": [ | |
| { | |
| "url": "https://www.bmtdynamics.org/pub/papers/AsNL00/AsNL00.pdf", | |
| "filename": "AsNL00.pdf", | |
| "size_bytes": null | |
| } | |
| ], | |
| "page_text": "Publications\nReprint Server\nVerified Integration of Dynamics in the Solar System\nAbstract\nThe motion of objects in the solar system is studied with the use of\nverified integration methods. Providing rigorous bounds for the possible\ncoordinates of objects whose initial coordinates are known to lie in a\ncertain region, the methods are applied to the study of near-earth asteroids\nwithin an advanced relativistic NASA model of the solar system with the\nultimate goal of assessing the possibility of collision with earth.\nBecause of the relatively large set of initial conditions compatible with\nmeasured orbit data, great care has to be taken to limit overestimation of\nthe possible range of final coordinates. This is achieved using the approach\nof Taylor models. Within this framework, it is possible to control the\nso-called dependency problem as well as the wrapping effect commonly\nobserved in verified integration. This approach yields accuracies that are\nsufficient to guarantee absence of collisions.\nExamples of orbit integrations are given, showing that even relatively large\ndomain boxes can be transported over extended time periods with a relative\noverestimation in the range of only around 10\n-5\n.\nM. Berz, K. Makino, J. Hoefkens,\nNonlinear Analysis\n47\n(2001) 179-190\nDownload\nClick on the icon to download the corresponding file.\nDownload Adobe PDF version (661668 Bytes).\nGo Back\nto the reprint server.\nGo Back\nto the home page.\nThis page is maintained by\nKyoko Makino\n. Please contact her if there are any problems with it." | |
| } |