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Modelling Asteroid Trajectory in Earth’s Atmosphere

2024-09-09Comunicação não publicada nas atas da conferência Acesso aberto
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datacite.subject.fosEngenharia e Tecnologia
datacite.subject.sdg15:Proteger a Vida Terrestre
dc.contributor.authorMorais, Renato Henriques
dc.contributor.authorSantos, Luis
dc.contributor.authorSilva, André Resende Rodrigues da
dc.contributor.authorMelício, Rui
dc.date.accessioned2026-03-31T08:27:24Z
dc.date.available2026-03-31T08:27:24Z
dc.date.issued2024-09-09
dc.description.abstractEarth’s atmosphere is humanity’s last defence against the potential threat of asteroid impacts. To assess the impact risk and devise effective mitigation strategies, it is essential to understand the interaction between asteroids and the atmosphere. This paper presents a comprehensive study that employs a system of differential-algebraic equations (DAEs) to model the trajectory and associated physical processes involved in an atmospheric entry and the consequent impact of an asteroid. The Apophis asteroid is utilized as a case study to compare and evaluate the performance of two numerical methods for solving these equations. The findings from this research contribute to advancing our understanding of asteroid entry dynamics and provide valuable insights for enhancing asteroid impact mitigation strategies. The Apophis asteroid, represented as a 340 m diameter sphere with a density of 3190 kg.m−3, enters the atmosphere at a velocity of 30759 m.s−1 and a 45-degree angle from an altitude of 81 km. The first method employed is the 4th-order Runge-Kutta method (RK4) with a constant time-step, commonly used for solving highly non-linear problems like this. The second method is based on the Dormand-Prince method, which utilizes a dynamic time step and provides a 4th-order solution with error estimation using a 5th-order solution. Computational efficiency and the resulting solutions are compared between the two methods. The study finds that the Dormand-Prince method offers a more accurate numerical solution with less computational effort. However, both approaches demonstrate a correspondence of at least three significant digits, confirming their validity. Overall, during its traversal through the atmosphere, the Apophis asteroid experiences a decrease in initial velocity by 0.83%, a loss of 22% of its initial mass, and a variation in its angle with the horizontal by 1.5%.eng
dc.identifier.citationMorais, R.H., Marques, L.F.F., da Silva, A.R.R., Melicio, R., Modelling Asteroid Trajectory in Earth’s Atmosphere, 34th Congress of the International Council of the Aeronautical Sciences, ICAS 2024, Florence, Italy, 9-13 September 2024
dc.identifier.urihttp://hdl.handle.net/10400.6/19963
dc.language.isoeng
dc.peerreviewedno
dc.relationAssociate Laboratory of Energy, Transports and Aeronautics [UIDB/50022/2020]
dc.relationLAETA - Associate Laboratory of Energy, Transports and Aeronautics [UIDP/50022/2020]
dc.relationAssociate Laboratory of Energy, Transports and Aerospace [LA/P/0079/2020]
dc.relationBolsa de Doutoramento FCT - Asteroids Deep Ocean Impact: Generated Effects and Vulnerabilities Modulation [PRT/BD/153498/2021]
dc.relation.hasversionhttps://www.icas.org/icas_archive/icas2024/data/papers/icas2024_0158_paper.pdf
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectAsteroid
dc.subjectApophis
dc.subjectRunge Kutta
dc.subjectDormand Prince
dc.titleModelling Asteroid Trajectory in Earth’s Atmospherepor
dc.typeconference paper not in proceedings
dspace.entity.typePublication
oaire.awardNumberUIDB/50022/2020
oaire.awardNumberUIDP/50022/2020
oaire.awardNumberLA/P/0079/2020
oaire.awardNumberPRT/BD/153498/2021
oaire.awardTitleAssociate Laboratory of Energy, Transports and Aeronautics [UIDB/50022/2020]
oaire.awardTitleLAETA - Associate Laboratory of Energy, Transports and Aeronautics [UIDP/50022/2020]
oaire.awardTitleAssociate Laboratory of Energy, Transports and Aerospace [LA/P/0079/2020]
oaire.awardTitleBolsa de Doutoramento FCT - Asteroids Deep Ocean Impact: Generated Effects and Vulnerabilities Modulation [PRT/BD/153498/2021]
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F50022%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F50022%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/LA%2FP%2F0079%2F2020/PT
oaire.awardURIhttp://hdl.handle.net/10400.6/19962
oaire.citation.conferenceDate2024-09-09
oaire.citation.conferencePlaceFlorence, Italy
oaire.citation.title34th Congress of the International Council of the Aeronautical Sciences
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStreamBolsa de Doutoramento
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameMorais
person.familyNameSantos
person.familyNameSilva
person.familyNameMelício
person.givenNameRenato Henriques
person.givenNameLuis
person.givenNameAndré Resende Rodrigues da
person.givenNameRui
person.identifierJ-4185-2012
person.identifier.ciencia-idD516-971F-D3B0
person.identifier.ciencia-id6717-B0D3-0F5B
person.identifier.ciencia-id8219-4B2B-E1C7
person.identifier.ciencia-idA213-8E2D-0102
person.identifier.orcid0000-0002-6980-4280
person.identifier.orcid0000-0002-7169-2660
person.identifier.orcid0000-0002-4901-7140
person.identifier.orcid0000-0002-1081-2729
person.identifier.ridI-6614-2015
person.identifier.scopus-author-id12768907700
person.identifier.scopus-author-id11440407500
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
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