On the use of positive polynomials for the estimation of upper and lower expectations in orbital dynamics
Vasile, Massimiliano and Tardioli, Chiara; Vasile, Massimiliano and Minisci, Edmondo and Summerer, Leopold and McGinty, Peter, eds. (2018) On the use of positive polynomials for the estimation of upper and lower expectations in orbital dynamics. In: Stardust Final Conference. Astrophysics and Space Science Proceedings . Springer, NLD, pp. 99-107. ISBN 9783319699561 (https://doi.org/10.1007/978-3-319-69956-1_6)
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Abstract
The paper presents the use of positive polynomials, in particular Bernstein polynomials, to represent families of probability distributions in orbital dynamics. The uncertainty in model parameters and initial conditions is modeled with p-boxes to account for imprecision and lack of knowledge. The resulting uncertainty in the quantity of interest is estimated by representing the upper and lower expectations with positive polynomials with interval coefficients. The impact probability of an asteroid subject to a partially known Yarkovsky effect is used as an illustrative example.
ORCID iDs
Vasile, Massimiliano ORCID: https://orcid.org/0000-0001-8302-6465 and Tardioli, Chiara ORCID: https://orcid.org/0000-0001-7916-1648; Vasile, Massimiliano, Minisci, Edmondo, Summerer, Leopold and McGinty, Peter-
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Item type: Book Section ID code: 63373 Dates: DateEvent11 February 2018Published11 February 2018Published Online23 September 2016AcceptedSubjects: Technology > Motor vehicles. Aeronautics. Astronautics
Science > PhysicsDepartment: Faculty of Engineering > Mechanical and Aerospace Engineering Depositing user: Pure Administrator Date deposited: 22 Feb 2018 14:28 Last modified: 29 Aug 2024 00:32 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/63373