Asteroid mass estimation using Markov-chain Monte Carlo

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dc.contributor.author Siltala, Lauri
dc.contributor.author Granvik, Mikael
dc.date.accessioned 2019-11-27T13:26:01Z
dc.date.available 2019-11-27T13:26:01Z
dc.date.issued 2017-11-15
dc.identifier.citation Siltala , L & Granvik , M 2017 , ' Asteroid mass estimation using Markov-chain Monte Carlo ' , Icarus , vol. 297 , pp. 149-159 . https://doi.org/10.1016/j.icarus.2017.06.028
dc.identifier.other PURE: 89647525
dc.identifier.other PURE UUID: 6b1ee37e-6571-4996-8050-76929802d56e
dc.identifier.other WOS: 000408599900013
dc.identifier.other Scopus: 85027223055
dc.identifier.other ORCID: /0000-0002-5624-1888/work/39204178
dc.identifier.other ORCID: /0000-0002-6938-794X/work/39206348
dc.identifier.uri http://hdl.handle.net/10138/307541
dc.description.abstract Estimates for asteroid masses are based on their gravitational perturbations on the orbits of other objects such as Mars, spacecraft, or other asteroids and/or their satellites. In the case of asteroid-asteroid perturbations, this leads to an inverse problem in at least 13 dimensions where the aim is to derive the mass of the perturbing asteroid(s) and six orbital elements for both the perturbing asteroid(s) and the test asteroid(s) based on astrometric observations. We have developed and implemented three different mass estimation algorithms utilizing asteroid-asteroid perturbations: the very rough 'marching' approximation, in which the asteroids' orbital elements are not fitted, thereby reducing the problem to a one-dimensional estimation of the mass, an implementation of the Nelder-Mead simplex method, and most significantly, a Markov-chain Monte Carlo (MCMC) approach. We describe each of these algorithms with particular focus on the MCMC algorithm, and present example results using both synthetic and real data. Our results agree with the published mass estimates, but suggest that the published uncertainties may be misleading as a consequence of using linearized mass-estimation methods. Finally, we discuss remaining challenges with the algorithms as well as future plans. (C) 2017 Elsevier Inc. All rights reserved. en
dc.format.extent 11
dc.language.iso eng
dc.relation.ispartof Icarus
dc.rights other
dc.rights.uri info:eu-repo/semantics/openAccess
dc.subject Asteroids
dc.subject dynamics
dc.subject Orbit determination
dc.subject Celestial mechanics
dc.subject 15 EUNOMIA
dc.subject 10 HYGIEA
dc.subject ORBIT
dc.subject VESTA
dc.subject CERES
dc.subject DAWN
dc.subject 115 Astronomy, Space science
dc.title Asteroid mass estimation using Markov-chain Monte Carlo en
dc.type Article
dc.contributor.organization Department of Physics
dc.description.reviewstatus Peer reviewed
dc.relation.doi https://doi.org/10.1016/j.icarus.2017.06.028
dc.relation.issn 0019-1035
dc.rights.accesslevel openAccess
dc.type.version acceptedVersion

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