Impact of the interaction of moving planets on their orbits

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dc.citation.epage16
dc.citation.issue2
dc.citation.journalTitleВимірювальна техніка та метрологія
dc.citation.spage11
dc.citation.volume83
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.authorChaban, Vasil
dc.contributor.authorBartman, Jacek
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2023-05-09T09:19:19Z
dc.date.available2023-05-09T09:19:19Z
dc.date.created2022-02-28
dc.date.issued2022-02-28
dc.description.abstractThe research raises the problem of determining and measuring the interaction of planets on the trajectory of their orbits around the Sun. Its solution becomes possible only based on an adequate mathematical model. For this purpose, Newton's law of universal gravitation was adapted to the case of moving masses in a wide range of velocities in flat Euclidean space and physical time. The finite speed of propagating the gravitational field is considered. Differential equations of planets’ motion are obtained. Transients in the threemass system of a star and two planets close to the Sun-Mercury-Venus system are simulated. To reveal deeply the essence of physical interaction, a hyperbolized transition process is simulated under artificially close moving masses.
dc.format.extent11-16
dc.format.pages6
dc.identifier.citationChaban V. Impact of the interaction of moving planets on their orbits / Vasil Chaban, Jacek Bartman // Measuring equipment and metrology. — Lviv : Lviv Politechnic Publishing House, 2022. — Vol 83. — No 2. — P. 11–16.
dc.identifier.citationenChaban V. Impact of the interaction of moving planets on their orbits / Vasil Chaban, Jacek Bartman // Measuring equipment and metrology. — Lviv : Lviv Politechnic Publishing House, 2022. — Vol 83. — No 2. — P. 11–16.
dc.identifier.doidoi.org/10.23939/istcmtm2022.02.011
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/59058
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofВимірювальна техніка та метрологія, 2 (83), 2022
dc.relation.ispartofMeasuring equipment and metrology, 2 (83), 2022
dc.relation.references[1] Chaban V.. Dynamic of Motion of Electron in Electrical Field. – Measuring, Equipment and Metrology. Vol 81, No 2, 2020, pp. 39–42 (DOI https://doi.org/10.23939/istcmtm2020.02.039).
dc.relation.references[2] Chaban V. On some Joint Lavs of the Field of Gravity- and Electrometry. – Measuring, Equipment and Metrology. Vol 81, No 3, 2020, pp. 37–40 (DOI https://doi.org/10.23939/istcmtm2020.03. 037).
dc.relation.references[3] A. G. Cornejo, Axial Precession in the General Theory of Relativity Solution. International Journal of Astronomy, 2021; 10(1): 1–5, DOI : 10.5923/j.astronomy. 20211001.01
dc.relation.references[4] Roseveare N. Т. Mercury's Perihelion From Le Verrier to Einstein. (Oxford science publications), 1982 [Online]. Available: https://www.amazon.com/Mercurys-Perihelion-Verrier-Einstein-publications/dp/0198581742
dc.relation.references[5] Earman J., Janssen M. Einstein’s Explanation of the Motion of Mercury’s Perihelion // The Attraction of Gravitation: New Studies in the History of General Relativity: Einstein Studies, Vol. 5. Boston : Birkhouser, 1993.
dc.relation.references[6] Matsakos T., Königl A. The gravitational interaction between planets on inclined orbits and protoplanetary disks as the origin of primordial spin // The Astronomical Journal, Volume 153, Number 2. 2017 [Online]. Available : https://iopscience.iop.org/article/10.3847/1538-3881/153/2/60/meta
dc.relation.references[7] Ivanov P. B., Papaloizou J. The tidal interaction of massive extrasolar planets on highly eccentric orbits, Monthly Notices of the Royal Astronomical Society, Vol.347, Iss.2, Jan. 2004, pp. 437–453, [Online]. Available: https://doi.org/10.1111/j.1365-2966.2004.07238.x
dc.relation.references[8] Privitera G., Meynet G., Eggenberger P., Vidotto A., Villaver E., Bianda M. Star-planet interactions, Astronomy and Astrophysics, Vol.591, July 2016, [Online]. Available: https://doi.org/10.1051/0004-6361/201528044
dc.relation.references[9] Ruggiero M. L., Tartaglia A. Gravitomagnetic effects. Nuovo Cim. 117B (2002) 743—768 (gr-qc/0207065).
dc.relation.references[10] Clark S.J., Tucker R.W. Gauge symmetry and gravito-electromagnetism // Classical and Quantum Gravity: journal. – 2000. [Online]. Available: https://uk.wikipedia.org/w/index.php?title=Classical_and_Quantum_
dc.relation.references[11] Vakarchuk I. O. Quantum mechanics, Lviv, Ukraine: LNU of Ivan Franko, 2012 (in Ukr.) http://ktf.lnu.edu.ua/books/QM4/index_ua.html
dc.relation.referencesen[1] Chaban V.. Dynamic of Motion of Electron in Electrical Field, Measuring, Equipment and Metrology. Vol 81, No 2, 2020, pp. 39–42 (DOI https://doi.org/10.23939/istcmtm2020.02.039).
dc.relation.referencesen[2] Chaban V. On some Joint Lavs of the Field of Gravity- and Electrometry, Measuring, Equipment and Metrology. Vol 81, No 3, 2020, pp. 37–40 (DOI https://doi.org/10.23939/istcmtm2020.03. 037).
dc.relation.referencesen[3] A. G. Cornejo, Axial Precession in the General Theory of Relativity Solution. International Journal of Astronomy, 2021; 10(1): 1–5, DOI : 10.5923/j.astronomy. 20211001.01
dc.relation.referencesen[4] Roseveare N. T. Mercury's Perihelion From Le Verrier to Einstein. (Oxford science publications), 1982 [Online]. Available: https://www.amazon.com/Mercurys-Perihelion-Verrier-Einstein-publications/dp/0198581742
dc.relation.referencesen[5] Earman J., Janssen M. Einstein’s Explanation of the Motion of Mercury’s Perihelion, The Attraction of Gravitation: New Studies in the History of General Relativity: Einstein Studies, Vol. 5. Boston : Birkhouser, 1993.
dc.relation.referencesen[6] Matsakos T., Königl A. The gravitational interaction between planets on inclined orbits and protoplanetary disks as the origin of primordial spin, The Astronomical Journal, Volume 153, Number 2. 2017 [Online]. Available : https://iopscience.iop.org/article/10.3847/1538-3881/153/2/60/meta
dc.relation.referencesen[7] Ivanov P. B., Papaloizou J. The tidal interaction of massive extrasolar planets on highly eccentric orbits, Monthly Notices of the Royal Astronomical Society, Vol.347, Iss.2, Jan. 2004, pp. 437–453, [Online]. Available: https://doi.org/10.1111/j.1365-2966.2004.07238.x
dc.relation.referencesen[8] Privitera G., Meynet G., Eggenberger P., Vidotto A., Villaver E., Bianda M. Star-planet interactions, Astronomy and Astrophysics, Vol.591, July 2016, [Online]. Available: https://doi.org/10.1051/0004-6361/201528044
dc.relation.referencesen[9] Ruggiero M. L., Tartaglia A. Gravitomagnetic effects. Nuovo Cim. 117B (2002) 743-768 (gr-qc/0207065).
dc.relation.referencesen[10] Clark S.J., Tucker R.W. Gauge symmetry and gravito-electromagnetism, Classical and Quantum Gravity: journal, 2000. [Online]. Available: https://uk.wikipedia.org/w/index.php?title=Classical_and_Quantum_
dc.relation.referencesen[11] Vakarchuk I. O. Quantum mechanics, Lviv, Ukraine: LNU of Ivan Franko, 2012 (in Ukr.) http://ktf.lnu.edu.ua/books/QM4/index_ua.html
dc.relation.urihttps://doi.org/10.23939/istcmtm2020.02.039
dc.relation.urihttps://doi.org/10.23939/istcmtm2020.03
dc.relation.urihttps://www.amazon.com/Mercurys-Perihelion-Verrier-Einstein-publications/dp/0198581742
dc.relation.urihttps://iopscience.iop.org/article/10.3847/1538-3881/153/2/60/meta
dc.relation.urihttps://doi.org/10.1111/j.1365-2966.2004.07238.x
dc.relation.urihttps://doi.org/10.1051/0004-6361/201528044
dc.relation.urihttps://uk.wikipedia.org/w/index.php?title=Classical_and_Quantum_
dc.relation.urihttp://ktf.lnu.edu.ua/books/QM4/index_ua.html
dc.rights.holder© Національний університет “Львівська політехніка”, 2022
dc.subjectNewton's law of gravitation
dc.subjectDifferential equations of motion of celestial bodies
dc.subjectThree-mass system
dc.titleImpact of the interaction of moving planets on their orbits
dc.typeArticle

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Вимірювальна техніка та метрологія. – 2022. – Випуск 83, №2