| { | |
| "id": "CELDA10", | |
| "url": "https://www.bmtdynamics.org/cgi-bin/display.pl?name=CELDA10", | |
| "title": "Nonlinear Mapping of Uncertainties: A Differential Algebra Approach", | |
| "pdfs": [ | |
| { | |
| "url": "https://www.bmtdynamics.org/pub/papers/CELDA10/CELDA10.pdf", | |
| "filename": "CELDA10.pdf", | |
| "size_bytes": null | |
| } | |
| ], | |
| "page_text": "Publications\nReprint Server\nNonlinear Mapping of Uncertainties: A Differential Algebra Approach\nAbstract\nA method for the nonlinear propagation of uncertainties in celestial mechanics based on differential algebra is presented. The arbitrary order Taylor expansion of the flow of ordinary differential equations with respect to the initial condition delivered by differential algebra is exploited to implement an accurate and computationally efficient Monte Carlo algorithm, in which thousands of pointwise integrations are substituted by polynomial evaluations. The algorithm is applied to study the close encounter of asteroid Apophis with our planet in 2029. To this aim, we first compute the high order Taylor expansion of Apophis' close encounter distance from the Earth by means of map inversion and composition; then we run the proposed Monte Carlo algorithm to perform the statistical analysis.\nR. Armellin, P. Di Lizia, F. Bernelli-Zazzera, M. Berz,\n4th International Conference on Astrodynamics Tools and Techniques\n(2010)\nDownload\nClick on the icon to download the corresponding file.\nDownload Adobe PDF version (737207 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." | |
| } |