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Yıl 2024, , 1 - 18, 26.04.2024
https://doi.org/10.19111/bulletinofmre.1251299

Öz

Kaynakça

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  • Ayachit, U., Bauer, A., Geveci, B. 2015. ParaView catalyst: Enabling in situ data analysis and visualization. Proceedings of ISAV 2015: 1st International Workshop on In Situ Infrastructures for Enabling Extreme-Scale Analysis and Visualization, Held in conjunction with SC 2015: The International Conference for High Performance Computing, Networking, Storage 25–29.
  • Barnett, C. T. 1976. Theoretical modeling of the magnetic and gravitational fields of an arbitrarily shaped three-dimensional body. Geophysics 41(6), 1353–1364.
  • Barnett, A. H. 2021. Aliasing error of the exp(β1−z2) kernel in the nonuniform fast Fourier transform. Applied and Computational Harmonic Analysis 51, 1–16.
  • Barnett, A. H., Magland, J., Klinteberg, L. A. F. 2019. A parallel nonuniform fast fourier transform library based on an “Exponential of Semicircle” kernel. Journal on Scientific Computing 41(5), C479– C504.
  • Barnouin, O. S., Daly, M. G., Palmer, E. E. 2019. Shape of (101955) Bennu indicative of a rubble pile with internal stiffness. Nature Geoscience 12 (4), 247–252.
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  • El Mir, C., Ramesh, K. T., Delbo, M. 2019. The efficiency of thermal fatigue in regolith generation on small airless bodies. Icarus 333, 356–370.
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  • Floberghagen, R, Fehringer, M, Lamarre, D, Muzi, D, Frommknecht, B, Steiger, C, Piñeiro, J., da Costa Human Spaceflight, A. 2011. Mission design, operation and exploitation of the gravity field and steady-state ocean circulation explorer mission. Journal of Geodesy 85 (11), 749–758.
  • Fujiwara, A., Kadono, T., Nakamura, A. 1993. Cratering experiments into curved surfaces and their implication for craters on small satellites. Icarus 105 (2), 345–350.
  • Fujiwara, A., Kawaguchi, J., Yeomans, D. K.. 2006. The rubble-pile asteroid Itokawa as observed by Hayabusa. Science 312 (5778), 1330–1334.
  • Garmier, R., Barriot, J. P., Konopliv, A. S., Yeomans, D. K. 2002. Modeling of the Eros gravity field as an ellipsoidal harmonic expansion from the NEAR Doppler tracking data. Geophysical Research Letters 29 (8), 72–1.
  • Greengard, L., Lee, J. Y. 2006. Accelerating the nonuniform fast Fourier transform. Society for Industrial and Applied Mathematics 46 (3), 443–454.
  • Hansen, R. O., Wang, X. 1988. Simplified frequency-domain expressions for potential fields of arbitrary three- dimensional bodies. Geophysics 53 (3), 365–374.
  • Hazeli, K., El Mir, C., Papanikolaou, S., Delbo, M., Ramesh, K. T. 2018. The origins of asteroidal rock disaggregation: Interplay of thermal fatigue and microstructure. Icarus 304, 172–182.
  • Hirabayashi, M., Scheeres, D. J. 2014. Stress and failure analysis of rapidly rotating asteroid (29075) 1950 DA. The Astrophysical Journal Letters 798 (1), L8.
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Modelling and computation of gravitational attraction, gradient tensors, rotational and horizontal invariants of Asteroid Bennu (101955), Itokawa (25143) and Eros (433) via 2D Non-Uniform FFT

Yıl 2024, , 1 - 18, 26.04.2024
https://doi.org/10.19111/bulletinofmre.1251299

Öz

The internal structure and mass distribution of the terrestrial objects are yet unknown. The 2D gravity model with a constant density of the terrestrial objects can shed light on the surficial or textural heterogeneity due to topographic variations of the terrestrial objects. Three different asteroids, which are Bennu (101955), Itokawa (25143) and Eros (433) are modelled in this study. During the modelling phase, a different number of edges, elements, nodes, and faces are used to describe the 3D models of Bennu, Itokawa, and Eros. These 3D models are used in 2D Non-Uniform Fast Fourier Transform (NU-FFT) applications to obtain gravitational attraction with a constant density polyhedron model. Tensor gradients and tensor invariants of the modelled gravity anomaly are calculated. Three major outcomes are interpreted from tensor gradient and tensor invariants. Firstly, textural heterogeneity due to relatively low topography is detected in the central part of Bennu. Secondly, considerably different properties which can be related to surface variations between the two lobes of Itokawa are observed. Lastly, directional surficial heterogeneities were detected in Eros.

Kaynakça

  • Abe, S., Mukai, T., Hirata, N., Barnouin-Jha, O. S., Cheng, F., Demura, H., Gaskell, R. W., Hashimoto, T., Hiraoka, K., Honda, T., Kubota, T., Matsuoka, M., Mizuno, T., Nakamura, R., Scheeres, D. J.,Yoshikawa, M. 2006. Mass and local topography measurements of Itokawa by Hayabusa. Science 312 (5778), 1344–1347.
  • Asphaug, E., Ostro, S. J., Hudson, R. S., Scheeres, D. J., Benz, W. 1998. Disruption of kilometre- sized asteroids by energetic collisions. Nature 393(6684), 437–440.
  • Ayachit, U., Bauer, A., Geveci, B. 2015. ParaView catalyst: Enabling in situ data analysis and visualization. Proceedings of ISAV 2015: 1st International Workshop on In Situ Infrastructures for Enabling Extreme-Scale Analysis and Visualization, Held in conjunction with SC 2015: The International Conference for High Performance Computing, Networking, Storage 25–29.
  • Barnett, C. T. 1976. Theoretical modeling of the magnetic and gravitational fields of an arbitrarily shaped three-dimensional body. Geophysics 41(6), 1353–1364.
  • Barnett, A. H. 2021. Aliasing error of the exp(β1−z2) kernel in the nonuniform fast Fourier transform. Applied and Computational Harmonic Analysis 51, 1–16.
  • Barnett, A. H., Magland, J., Klinteberg, L. A. F. 2019. A parallel nonuniform fast fourier transform library based on an “Exponential of Semicircle” kernel. Journal on Scientific Computing 41(5), C479– C504.
  • Barnouin, O. S., Daly, M. G., Palmer, E. E. 2019. Shape of (101955) Bennu indicative of a rubble pile with internal stiffness. Nature Geoscience 12 (4), 247–252.
  • Bhattacharyya, B. K. 1966. Continuous spectrum of the total-magnetic-field anomaly due to a rectangular prismatic body. Geophysics 31 (1), 97–121.
  • Chai, Y., Hinze, W. J. 1988. Gravity inversion of an interface above which the density contrast varies exponentially with depth. Geophysics 53 (6),837–845.
  • Chapman, C. R., Merline, W. J., Thomas, P. C., Joseph, J., Cheng, A. F., Izenberg, N. 2002. Impact history of Eros: Craters and boulders. Icarus 155 (1), 104–118.
  • Cheng, A. F., Santo, A. G., Heeres, K. J., Landshof, J. A., Farquhar, R. W., Gold, R. E., Lee, S. C. 1997. Near-Earth Asteroid Rendezvous: Mission overview. Journal of Geophysical Research: Planets 102 (E10), 23695–23708.
  • Chenot, D., Debeglia, N. 1990. Three-dimensional gravity or magnetic constrained depth inversion with lateral and vertical variation of contrast. Geophysics 55(3), 327–335.
  • Chesley, S. R., Farnocchia, D., Nolan, M. C., Vokrouhlický, D., Chodas, P. W., Milani, A., Spoto, F., Rozitis,B., Benner, L. A. M., Bottke, W. F., Busch, M.W., Emery, J. P., Howell, E. S., Lauretta, D. S., Margot, J. L., Taylor, P. A. 2014. Orbit and bulk density of the OSIRIS-REx target Asteroid (101955) Bennu. Icarus 235, 5–22.
  • Cooley, J. W., Tukey, J. W. 1965. An algorithm for the machine calculation of complex Fourier series. Mathematics of Computation 19 (90), 297.
  • Cynthia, A. 2002. Brewer. Available at: http://www. colorbrewer.org.
  • Delbo, M., Libourel, G., Wilkerson, J., Murdoch, N., Michel, P., Ramesh, K. T., Ganino, C., Verati, C., Marchi,S. 2014. Thermal fatigue as the origin of regolith on small asteroids. Nature 508 (7495), 233–236.
  • DellaGiustina, D. N., Emery, J. P., Golish, D. R. 2019. Properties of rubble-pile asteroid (101955) Bennu from OSIRIS-REx imaging and thermal analysis. Nature Astronomy 3 (4), 341–351.
  • El Mir, C., Ramesh, K. T., Delbo, M. 2019. The efficiency of thermal fatigue in regolith generation on small airless bodies. Icarus 333, 356–370.
  • Eppes, M. C., Keanini, R. 2017. Mechanical weathering and rock erosion by climate-dependent subcritical cracking. Reviews of Geophysics 55 (2), 470–508.
  • Eppes, M. C., McFadden, L. D., Wegmann, K. W., Scuderi,L. A. 2010. Cracks in desert pavement rocks: Further insights into mechanical weathering by directional insolation. Geomorphology 123 (1–2), 97–108.
  • Fletcher, R. C., Buss, H. L., Brantley, S. L. 2006. A spheroidal weathering model coupling porewater chemistry to soil thicknesses during steady-state denudation. Earth and Planetary Science Letters 244 (1–2), 444–457.
  • Floberghagen, R, Fehringer, M, Lamarre, D, Muzi, D, Frommknecht, B, Steiger, C, Piñeiro, J., da Costa Human Spaceflight, A. 2011. Mission design, operation and exploitation of the gravity field and steady-state ocean circulation explorer mission. Journal of Geodesy 85 (11), 749–758.
  • Fujiwara, A., Kadono, T., Nakamura, A. 1993. Cratering experiments into curved surfaces and their implication for craters on small satellites. Icarus 105 (2), 345–350.
  • Fujiwara, A., Kawaguchi, J., Yeomans, D. K.. 2006. The rubble-pile asteroid Itokawa as observed by Hayabusa. Science 312 (5778), 1330–1334.
  • Garmier, R., Barriot, J. P., Konopliv, A. S., Yeomans, D. K. 2002. Modeling of the Eros gravity field as an ellipsoidal harmonic expansion from the NEAR Doppler tracking data. Geophysical Research Letters 29 (8), 72–1.
  • Greengard, L., Lee, J. Y. 2006. Accelerating the nonuniform fast Fourier transform. Society for Industrial and Applied Mathematics 46 (3), 443–454.
  • Hansen, R. O., Wang, X. 1988. Simplified frequency-domain expressions for potential fields of arbitrary three- dimensional bodies. Geophysics 53 (3), 365–374.
  • Hazeli, K., El Mir, C., Papanikolaou, S., Delbo, M., Ramesh, K. T. 2018. The origins of asteroidal rock disaggregation: Interplay of thermal fatigue and microstructure. Icarus 304, 172–182.
  • Hirabayashi, M., Scheeres, D. J. 2014. Stress and failure analysis of rapidly rotating asteroid (29075) 1950 DA. The Astrophysical Journal Letters 798 (1), L8.
  • Holzhausen, G. R. 1989. Origin of sheet structure,1.Morphology and boundary conditions. Engineering Geology 27 (1–4), 225–278.
  • Kanamaru, M., Sasaki, S. 2019. Estimation of interior density distribution for small bodies: The case of asteroid Itokawa. Transactions of the Japan Society for Aeronautical and Space Sciences: Aerospace Technology Japan 17 (3), 270–275.
  • Kanamaru, M., Sasaki, S.,Wieczorek, M. 2019. Density distribution of asteroid 25143 Itokawa based on smooth terrain shape. Planetary and Space Science 174, 32–42.
  • Keiner, J., Kunis, S., Potts, D. 2009. Using NFFT 3---A software library for various nonequispaced fast Fourier transforms. Association for Computing Machinery Transactions on Mathematical Software (TOMS) 36 (4).
  • Klokočník, J., Kostelecký, J., Kalvoda, J., Eppelbaum, L. V., Bezděk, A. 2014. Gravity disturbances, Marussi tensor, invariants and other functions of the geopotential represented by EGM 2008. Journal of Earth Science Research 2 (3), 88–101.
  • Konopliv, A. S., Miller, J. K., Owen, W. M., Yeomans, D. K., Giorgini, J. D., Garmier, R., Barriot, J. P. 2002. A global solution for the gravity Field, rotation, landmarks, and ephemeris of Eros. Icarus 160 (2), 289–299.
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Toplam 91 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

İlkin Özsöz Bu kişi benim 0000-0001-5907-4176

Erken Görünüm Tarihi 28 Nisan 2023
Yayımlanma Tarihi 26 Nisan 2024
Yayımlandığı Sayı Yıl 2024

Kaynak Göster

APA Özsöz, İ. (2024). Modelling and computation of gravitational attraction, gradient tensors, rotational and horizontal invariants of Asteroid Bennu (101955), Itokawa (25143) and Eros (433) via 2D Non-Uniform FFT. Bulletin of the Mineral Research and Exploration, 173(173), 1-18. https://doi.org/10.19111/bulletinofmre.1251299
AMA Özsöz İ. Modelling and computation of gravitational attraction, gradient tensors, rotational and horizontal invariants of Asteroid Bennu (101955), Itokawa (25143) and Eros (433) via 2D Non-Uniform FFT. Bull.Min.Res.Exp. Nisan 2024;173(173):1-18. doi:10.19111/bulletinofmre.1251299
Chicago Özsöz, İlkin. “Modelling and Computation of Gravitational Attraction, Gradient Tensors, Rotational and Horizontal Invariants of Asteroid Bennu (101955), Itokawa (25143) and Eros (433) via 2D Non-Uniform FFT”. Bulletin of the Mineral Research and Exploration 173, sy. 173 (Nisan 2024): 1-18. https://doi.org/10.19111/bulletinofmre.1251299.
EndNote Özsöz İ (01 Nisan 2024) Modelling and computation of gravitational attraction, gradient tensors, rotational and horizontal invariants of Asteroid Bennu (101955), Itokawa (25143) and Eros (433) via 2D Non-Uniform FFT. Bulletin of the Mineral Research and Exploration 173 173 1–18.
IEEE İ. Özsöz, “Modelling and computation of gravitational attraction, gradient tensors, rotational and horizontal invariants of Asteroid Bennu (101955), Itokawa (25143) and Eros (433) via 2D Non-Uniform FFT”, Bull.Min.Res.Exp., c. 173, sy. 173, ss. 1–18, 2024, doi: 10.19111/bulletinofmre.1251299.
ISNAD Özsöz, İlkin. “Modelling and Computation of Gravitational Attraction, Gradient Tensors, Rotational and Horizontal Invariants of Asteroid Bennu (101955), Itokawa (25143) and Eros (433) via 2D Non-Uniform FFT”. Bulletin of the Mineral Research and Exploration 173/173 (Nisan 2024), 1-18. https://doi.org/10.19111/bulletinofmre.1251299.
JAMA Özsöz İ. Modelling and computation of gravitational attraction, gradient tensors, rotational and horizontal invariants of Asteroid Bennu (101955), Itokawa (25143) and Eros (433) via 2D Non-Uniform FFT. Bull.Min.Res.Exp. 2024;173:1–18.
MLA Özsöz, İlkin. “Modelling and Computation of Gravitational Attraction, Gradient Tensors, Rotational and Horizontal Invariants of Asteroid Bennu (101955), Itokawa (25143) and Eros (433) via 2D Non-Uniform FFT”. Bulletin of the Mineral Research and Exploration, c. 173, sy. 173, 2024, ss. 1-18, doi:10.19111/bulletinofmre.1251299.
Vancouver Özsöz İ. Modelling and computation of gravitational attraction, gradient tensors, rotational and horizontal invariants of Asteroid Bennu (101955), Itokawa (25143) and Eros (433) via 2D Non-Uniform FFT. Bull.Min.Res.Exp. 2024;173(173):1-18.

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