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Journal articles on the topic 'Planetary Modeling'

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Published: 4 June 2021
Last updated: 15 February 2022

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1

Tarasik, Vladimir Petrovich. "MODELING OF PLANETARY GEAR." Вестник Белорусско-Российского университета, no. 4 (2016): 78–89. http://dx.doi.org/10.53078/20778481_2016_4_78.

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2

Hu, H., and B. Wu. "PLANETARY3D: A PHOTOGRAMMETRIC TOOL FOR 3D TOPOGRAPHIC MAPPING OF PLANETARY BODIES." ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences IV-2/W5 (May 29, 2019): 519–26. http://dx.doi.org/10.5194/isprs-annals-iv-2-w5-519-2019.

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<p><strong>Abstract.</strong> Planetary remote sensing images are the primary datasets for high-resolution topographic mapping and modeling of the planetary surfaces. However, unlike the mapping satellites for Earth observations, cameras onboard the planetary satellites generally present special imaging geometries and configurations, which makes the stereo photogrammetric process difficult and requires a large number of manual interactions. At the Hong Kong Polytechnic University, we developed a unified photogrammetric software system, namely Planetary3D, for 3D topographic mapping modeling of various planetary bodies using images collected by various sensors. Planetary3D consists of three modules, including: (1) the pre-processing module to deliver standardized image products, (2) the bundle adjustment module to alleviate the inconsistencies between the images and possibly the reference frame, and (3) the dense image matching module to create pixel-wise image matches and produce high quality topographic models. Examples of using three changeling datasets, including the MRO CTX, MRO HiRISE and Chang’E-2 images, have revealed that the automatic pipeline of Planetary3D can produce high-quality digital elevation models (DEMs) with favorable performances. Notably, the notorious jitter effects visible on HiRISE images can be effectively removed and good consistencies with the reference DEMs are found for the test datasets by the Planetary3D pipeline.</p>
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3

Harrington, J. P., K. J. Borkowski, and Z. I. Tsvetanov. "Modeling hydrogen-deficient Planetary Nebulae." Symposium - International Astronomical Union 180 (1997): 235. http://dx.doi.org/10.1017/s0074180900130554.

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Hydrogen-deficient planetary nebulae have central regions devoid of hydrogen. (See Harrington 1996 for a review of these nebulae.) They are characterized by exceptionally strong collisionally excited lines of [O III] and [Ne III], but relatively weak or undetected recombination lines of He or other elements. Such nebulae cannot be modeled successfully unless we include some source of heating in addition to photoionization by the central star.
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4

Schulz, Michael, and Michael C. McNab. "Source-surface modeling of planetary magnetospheres." Journal of Geophysical Research: Space Physics 101, A3 (March 1, 1996): 5095–118. http://dx.doi.org/10.1029/95ja02987.

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5

Wicht, J., and A. Tilgner. "Theory and Modeling of Planetary Dynamos." Space Science Reviews 152, no. 1-4 (March 18, 2010): 501–42. http://dx.doi.org/10.1007/s11214-010-9638-y.

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6

Oliveira, P., J. Soares, H. A. Karam, M. M. R. Pereira, and E. P. Marques Filho. "NUMERICAL MODELING OF THE PLANETARY BOUNDARY LAYER." Revista de Engenharia Térmica 3, no. 1 (June 30, 2004): 74. http://dx.doi.org/10.5380/reterm.v3i1.3490.

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This work describes the major available techniques to simulate the time and space evolution of the planetary boundary layer. For homogeneous and equilibrium conditions the structure of the planetary boundary layer can be diagnosed from the Monin-Obukhov, Free Convection, Local and Mixed Layer Similarity theories. For the other atmospheric conditions the planetary boundary layer can be numerically simulated using first and second order closure models and large eddy models. The closure models take into consideration the traditional statistical approach. Large eddy simulation models are based on the filtered equations of motion and require the statistical approach to estimate subgrid turbulence.
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7

Pelkowski, J., L. Chevallier, B. Rutily, and O. Titaud. "Exact results in modeling planetary atmospheres—III." Journal of Quantitative Spectroscopy and Radiative Transfer 109, no. 1 (January 2008): 43–51. http://dx.doi.org/10.1016/j.jqsrt.2007.07.014.

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8

Nesvorný, David, Fernando Roig, and William F. Bottke. "Modeling the Historical Flux of Planetary Impactors." Astronomical Journal 153, no. 3 (February 9, 2017): 103. http://dx.doi.org/10.3847/1538-3881/153/3/103.

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9

Van Hoof, Peter A. M., and Griet C. Van De Steene. "Modeling and distance determination of planetary nebulae." Astrophysics and Space Science 238, no. 1 (April 1996): 83–86. http://dx.doi.org/10.1007/bf00645498.

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10

Efthymiopoulos, Christos, and Rocío I. Páez. "Modeling resonant trojan motions in planetary systems." Proceedings of the International Astronomical Union 9, S310 (July 2014): 70–73. http://dx.doi.org/10.1017/s1743921314007868.

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AbstractWe consider the dynamics of a small trojan companion of a hypothetical giant exoplanet under the secular perturbations of additional planets. By a suitable choice of action-angle variables, the problem is amenable to the study of the slow modulation, induced by secular perturbations, to the dynamics of an otherwise called ‘basic’ Hamiltonian model of two degrees of freedom (planar case). We present this Hamiltonian decomposition, which implies that the slow chaotic diffusion at resonances is best described by the paradigm of modulational diffusion.
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11

Levison, Harold F., Jack J. Lissauer, and Martin J. Duncan. "Modeling the Diversity of Outer Planetary Systems." Astronomical Journal 116, no. 4 (October 1998): 1998–2014. http://dx.doi.org/10.1086/300557.

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12

Kley, W., M. H. Lee, N. Murray, and S. J. Peale. "Modeling the resonant planetary system GJ 876." Astronomy & Astrophysics 437, no. 2 (June 21, 2005): 727–42. http://dx.doi.org/10.1051/0004-6361:20052656.

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13

Dopita, M. A., and S. J. Meatheringham. "Photoionization modeling of Magellanic Cloud planetary nebulae." Astrophysical Journal 367 (January 1991): 115. http://dx.doi.org/10.1086/169607.

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14

Ge, Zheng, and Weirui Wang. "Modeling, Testing, and Characteristic Analysis of a Planetary Flywheel Inerter." Shock and Vibration 2018 (2018): 1–12. http://dx.doi.org/10.1155/2018/2631539.

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We propose the planetary flywheel inerter, which is a new type of ball screw inerter. A planetary flywheel consists of several planetary gears mounted on a flywheel bracket. When the flywheel bracket is driven by a screw and rotating, each planetary gear meshing with an outer ring gear generates a compound motion composed of revolution and rotation. Theoretical analysis shows that the output force of the planetary flywheel inerter is proportional to the relative acceleration of one terminal of the inerter to the other. Optimizing the gear ratio of the planetary gears to the ring gear allows the planetary flywheel to be lighter than its traditional counterpart, without any loss on the inertance. According to the structure of the planetary flywheel inerter, nonlinear factors of the inerter are analyzed, and a nonlinear dynamical model of the inerter is established. Then the parameters in the model are identified and the accuracy of the model is validated by experiment. Theoretical analysis and experimental data show that the dynamical characteristics of a planetary flywheel inerter and those of a traditional flywheel inerter are basically the same. It is concluded that a planetary flywheel can completely replace a traditional flywheel, making the inerter lighter.
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15

Jiang, Li Dong, Shan Chang, Guang Hao Dai, and Zhen Rong Zhu. "Parameterized Modeling and Virtual Prototype of Planetary Reducer." Key Engineering Materials 419-420 (October 2009): 685–88. http://dx.doi.org/10.4028/www.scientific.net/kem.419-420.685.

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The three-dimensional parameterized model of the planetary reducer was established on the platform of Pro/E. Especially, the parameterized gear model was built through transforming the accurate equations of the involute and the tooth root transition curve into the expressions that can be identified by the Pro/E. Therefore, the accuracy of the model is relatively high and the method used in the paper can eliminate tooth interference effectively. Then, the three-dimensional assembly model for planetary reducer was obtained through the Virtual Assembly Technique and the Assembly Module in Pro/E. In brief, the method used in the paper has supplied a relatively accurate model for the dynamic analysis. At the same time, it can reduce dramatically research cycle and cost, and has supplied an effective development approach for the planetary reducer.
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16

Chakraborty, Sumit. "Diffusion Studies in Earth and Planetary Sciences." Defect and Diffusion Forum 237-240 (April 2005): 1081–92. http://dx.doi.org/10.4028/www.scientific.net/ddf.237-240.1081.

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The use of atomic diffusion processes to understand the origin and evolution of the Earth and other Planetary systems are briefly reviewed in this paper. I outline some situations to illustrate how diffusion modeling may find varied applications in the Earth and Planetary Sciences. Some possible areas of research are described where advances in Geosciences may benefit researchers interested in diffusion processes in other fields. These include measurement of diffusion rates under high pressures, studies in multicomponent diffusion and modelling of diffusion and point defect related processes in multiphase and multicomponent non-metallic systems. Finally, I outline some areas where input from specialists in other areas may advance knowledge in the Geosciences.
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17

Steffen, Wolfgang, and José Alberto López. "Morpho-kinematic modeling of planetary nebulae with SHAPE." Proceedings of the International Astronomical Union 2, S234 (April 2006): 517. http://dx.doi.org/10.1017/s1743921306004029.

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18

Hubeny, Ivan. "Basic Tools for Modeling Stellar and Planetary Atmospheres." Proceedings of the International Astronomical Union 7, S282 (July 2011): 221–28. http://dx.doi.org/10.1017/s1743921311027414.

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AbstractMost popular computer codes for calculating model stellar and planetary atmospheres are briefly reviewed. A particular emphasis is devoted to our universal computer program Tlusty (model stellar atmospheres and accretion disks), CoolTlusty (a variant of Tlusty for computing model atmospheres of substellar-mass objects such as giant planets and brown dwarfs), and Synspec (an associated spectrum synthesis code). We show the highlights of actual applications of these codes which include extensive grids of fully line-blanketed non-LTE model atmospheres of O and B stars, and grids of model atmospheres of extrasolar giant planets and L and T dwarfs.
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19

Dopita, M. A., and S. J. Meatheringham. "Photoionization modeling of Magellanic Cloud planetary nebulae. II." Astrophysical Journal 377 (August 1991): 480. http://dx.doi.org/10.1086/170377.

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20

Kane, Stephen R., Tiffany Jansen, Thomas Fauchez, Franck Selsis, and Alma Y. Ceja. "Phase Modeling of the TRAPPIST-1 Planetary Atmospheres." Astronomical Journal 161, no. 2 (January 6, 2021): 53. http://dx.doi.org/10.3847/1538-3881/abcfbe.

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21

Yan, M., S. R. Federman, A. Dalgarno, and J. E. Bjorkman. "Theoretical Modeling ofISOResults on Planetary Nebula NGC 7027." Astrophysical Journal 515, no. 2 (April 20, 1999): 640–48. http://dx.doi.org/10.1086/307047.

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22

Hamm, Elizabeth. "Modeling the Heavens: Sphairopoiia and Ptolemy’s Planetary Hypotheses." Perspectives on Science 24, no. 4 (August 2016): 416–24. http://dx.doi.org/10.1162/posc_a_00214.

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23

Yue, Hui Jun, Yan Fang Liu, Gang Shi, and Xiang Yang Xu. "Free Vibration Model and Characteristics of Planetary Gear Sets." Advanced Materials Research 694-697 (May 2013): 383–88. http://dx.doi.org/10.4028/www.scientific.net/amr.694-697.383.

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Planetary gear sets have advantages of little noise, high transmission ratio, compact arrangement, so it has been widely applied in automobile and aerospace applications over the years. Using Lagrange equation, a free vibration theoretical model of a single planetary gear set was built, which was solved with modal superposition method. Combined with theoretical results, two types of modeling methods of planetary gear structures with the simulation platform SimulationX were studied. The simulation model suitable for analyzing vibration characteristic of planetary gear sets and inherent vibration characteristic in different situation were studied with the optimal modeling method. Important influencing factors of planetary gear sets vibration characteristic were studied and reference for dynamic best designing planetary gear transmission sets were provided.
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24

Morisset, Christophe. "Photoionization models of Planetary Nebulae." Proceedings of the International Astronomical Union 12, S323 (October 2016): 43–50. http://dx.doi.org/10.1017/s1743921317001004.

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AbstractThe understanding of astronomical nebulae is based on observational data (images, spectra, 3D data-cubes) and theoretical models. In this review, I present my very biased view on photoionization modeling of planetary nebulae, focusing on 1D multi-component models, on 3D models and on big database of models.
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25

Chevallier, L., J. Pelkowski, and B. Rutily. "Exact results in modeling planetary atmospheres—I. Gray atmospheres." Journal of Quantitative Spectroscopy and Radiative Transfer 104, no. 3 (April 2007): 357–76. http://dx.doi.org/10.1016/j.jqsrt.2006.09.006.

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26

Vorob'ev, A. N., A. K. Semennikov, A. I. Zhmakin, Yuri N. Makarov, M. Dauelsberg, Frank Wischmeyer, M. Heuken, and H. Jürgensen. "Modeling Analysis of SiC CVD in a Planetary Reactor." Materials Science Forum 353-356 (January 2001): 103–6. http://dx.doi.org/10.4028/www.scientific.net/msf.353-356.103.

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27

Kostov, V. I., and P. I. Y. Velinov. "Modeling cosmic ray ionization in an oblate planetary ionosphere." Advances in Space Research 27, no. 11 (January 2001): 1909–13. http://dx.doi.org/10.1016/s0273-1177(01)00324-6.

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28

Karimov, R., N. Begimov, Sh Sadullaev, B. Urinov, K. Turajonov, and Sh Ibodulloev. "Modeling of kinematics and kinetostatics of planetary-lever mechanism." IOP Conference Series: Materials Science and Engineering 883 (July 21, 2020): 012129. http://dx.doi.org/10.1088/1757-899x/883/1/012129.

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29

Michtchenko, T. A., S. Ferraz-Mello, and C. Beaugé. "Modeling the 3-D secular planetary three-body problem." Icarus 181, no. 2 (April 2006): 555–71. http://dx.doi.org/10.1016/j.icarus.2005.11.015.

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30

Mayr, H. G., J. G. Mengel, E. R. Talaat, H. S. Porter, and K. L. Chan. "Modeling study of mesospheric planetary waves: genesis and characteristics." Annales Geophysicae 22, no. 6 (June 14, 2004): 1885–902. http://dx.doi.org/10.5194/angeo-22-1885-2004.

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Abstract. The Numerical Spectral Model (NSM) extends from the ground into the thermosphere and incorporates Hines' Doppler Spread Parameterization for small-scale gravity waves (GWs). In the present version of the model we account for a tropospheric heat source in the zonal mean (m=0), which reproduces qualitatively the observed zonal jets near the tropopause and the accompanying reversal in the latitudinal temperature variations. In the study presented here, we discuss the planetary waves (PWs) that are solely generated internally, i.e. without the explicit excitation sources related to tropospheric convection or topography. Our analysis shows that PWs are not produced when the zonally averaged heat source into the atmosphere is artificially suppressed, and that the PWs are generally weaker when the tropospheric source is not applied. Instabilities associated with the zonal mean temperature, pressure and wind fields, which still need to be explored, are exciting PWs that have amplitudes in the mesosphere comparable to those observed. Three classes of PWs are generated in the NSM. (1) Rossby type PWs, which slowly propagate westward relative to the mean zonal flow, are carried by the winds so that they appear (from the ground) to propagate, respectively, eastward and westward in the winter and summer hemispheres below 80km. Depending on the zonal wave number and magnitudes of the zonal winds, and under the influence of the equatorial oscillations, these PWs typically have periods between 2 and 20 days. Their horizontal wind amplitudes can exceed 40 m/s in the lower mesosphere. (2) Rossby-gravity waves, which propagate westward at low latitudes and have periods around 2 days for zonal wave numbers m=2 to 4. (3) Eastward propagating equatorial Kelvin waves, which are generated in the upper mesosphere with periods between 1 and 3 days depending on m. A survey of the PWs reveals that the largest wind amplitudes tend to occur below 80km in the winter hemisphere; but above that altitude the amplitudes are larger in the summer hemisphere where the winds can approach 50m/s. This pattern in the seasonal variations also appears in the baroclinity of the zonal mean (m=0). The nonmigrating tides in the mesosphere are significantly larger for the model with the tropospheric heat source, in which PWs are apparently generated by the instabilities that arise around the tropopause.
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31

Quadrelli, Marco B., Masahiro Ono, and Abhinandan Jain. "Modeling of Active Tether System concepts for planetary exploration." Acta Astronautica 138 (September 2017): 512–29. http://dx.doi.org/10.1016/j.actaastro.2016.11.010.

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32

Mai, Enrico, Jürgen Müller, and Jürgen Oberst. "Application of an evolution strategy in planetary ephemeris modeling." Advances in Space Research 63, no. 1 (January 2019): 728–49. http://dx.doi.org/10.1016/j.asr.2018.09.011.

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33

Lu, Jian-Wei, Xiao-Ming Sun, Alexander F. Vakakis, and Lawrence A. Bergman. "Influence of backlash in gear reducer on dynamic of single-link manipulator arm." Robotica 33, no. 08 (April 29, 2014): 1671–85. http://dx.doi.org/10.1017/s0263574714000915.

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SUMMARYThe dynamic modeling of a flexible single-link manipulator arm with consideration of backlash in the planetary gear reducer at the joint is presented, and the influence of backlash on the dynamic response of the system is evaluated. A 2K-H planetary gear reducer with backlash was employed as an example to discuss the dynamic modeling of the sub-model of the planetary gear reducer, and the sub-model of the planetary gear reducer was established based on the lumped mass method. The flexible manipulator was regarded as an Euler--Bernoulli beam, and the dynamic model of the flexible manipulator arm with backlash in the planetary gear reducer was determined from Lagrange's equations. Based on the this model, the influence of the backlash in the planetary gear reducer and excitation frequency on the dynamic response of the system were evaluated through simulation, and the results showed that the dynamic response of the system is sensitive to the backlash and the excitation frequency simultaneously, which provides a theoretical foundation for improvement of dynamic modeling and control of the flexible manipulator arm.
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34

Drewniak, Józef, and Stanisław Zawiślak. "Synthesis of Planetary Gears by Means of Artificial Intelligence Approach ‒ Graph-Theoretical Modeling." Solid State Phenomena 164 (June 2010): 243–48. http://dx.doi.org/10.4028/www.scientific.net/ssp.164.243.

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Graph-based modeling of planetary gears was applied in the presented research work for their synthesis. The tailored Hsu and contour graphs were used. Graphs encode the structure (layout) of a planetary gear and upon them - the systems of equations can be generated. These systems enable determination of rotational velocities of planetary gear elements. The method is algorithmic and simple. It allows for an easy comparison of different design solutions and selection of the most appropriate one. The list of the possible modes of operation for an exemplary planetary gear is also provided in the paper.
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35

Liang, Jing Jing, Rui Qin Li, and Jia Jun Ren. "Simulation Study on Planetary Bevel Gear CVT System Based on Virtual Prototyping Technology." Applied Mechanics and Materials 215-216 (November 2012): 1003–8. http://dx.doi.org/10.4028/www.scientific.net/amm.215-216.1003.

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A virtual prototyping model for dynamical characteristic curves based on contact force was established, through the joint modeling(geometric modeling and constraint modeling) of planetary bevel gear CVT system in UG and ADAMS. The virtual prototyping experimental data proved that the system has the feasibility of over-zero variable speed. It is also verified that the model has advantage on continuously variable speed range ,compared with planetary cone ring continuously variable transmission system. The main effect factors of the continuously variable speed performance and output torque are obtained. This model could be used to further study on such issues.
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36

Danehkar, Ashkbiz, David J. Frew, Quentin A. Parker, and Orsola De Marco. "Photoionization modeling of the Galactic planetary nebulae Abell 39 and NGC 7027." Proceedings of the International Astronomical Union 7, S283 (July 2011): 340–41. http://dx.doi.org/10.1017/s1743921312011325.

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AbstractWe estimate distances to the spherical planetary nebula Abell 39 and the bipolar planetary nebula NGC 7027 by interpolating from a wide grid of photoionization models using the 3-D code, MOCASSIN. We find preliminary distances of 1.5 kpc and 0.9 kpc respectively, with uncertainties of about 30%.
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37

Xiao, Zhengming, Jinxin Cao, and Yinxin Yu. "Mathematical Modeling and Dynamic Analysis of Planetary Gears System with Time-Varying Parameters." Mathematical Problems in Engineering 2020 (March 16, 2020): 1–9. http://dx.doi.org/10.1155/2020/3185624.

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Planetary gears are widely used in automobiles, helicopters, heavy machinery, etc., due to the high speed reductions in compact spaces; however, the gear fault and early damage induced by the vibration of planetary gears remains a key concern. The time-varying parameters have a vital influence on dynamic performance and reliability of the gearbox. An analytical model is proposed to investigate the effect of gear tooth crack on the gear mesh stiffness, and then the dynamical model of the planetary gears with time-varying parameters is established. The natural characteristics of the transmission system are calculated, and the dynamic responses of transmission components, as well as dynamic meshing force of each pair of gear are investigated based on varying internal excitations induced by time-varying parameters and tooth root crack. The effects of gear tooth root crack size on the planetary gear dynamics are simulated, and the mapping rules between damage degree and gear dynamics are revealed. In order to verify the theoretical model and simulation results, the planetary gear test rig was built by assembling faulty and healthy gear separately. The failure mechanism and dynamic characteristics of the planetary gears with tooth root crack are clarified by comparing the analytical results and experimental data.
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38

Lu, Hong, Talal Elsir, and Gang Wang. "Modeling and Performance Analysis on a Test Platform for Transmission." Advanced Materials Research 823 (October 2013): 84–87. http://dx.doi.org/10.4028/www.scientific.net/amr.823.84.

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A transmission test platform for performance analysis was designed based on 3-D modeling and simulation technology which were used to provide a theoretical comparison basis for the following experiments. Design of key part of the transmission system, such as couplings which were customized. Modeling of test platform was built to study the mechanical structure in theory. Static structure and modal analyses were carried out to evaluate the performance of planetary and worm gearing. Compare analysis results between planetary gear and worm gear reducer which include backlash and vibration phenomenon. At last, we make a conclusion that the planetary gear has less vibration and noise than the worm gear in this type of reducer in theory, and we will give some reasonable explanation.
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39

Chen, Xianhua, Xingkai Yang, Ming J. Zuo, and Zhigang Tian. "Planetary Gearbox Dynamic Modeling Considering Bearing Clearance and Sun Gear Tooth Crack." Sensors 21, no. 8 (April 9, 2021): 2638. http://dx.doi.org/10.3390/s21082638.

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Planetary gearbox systems are critical mechanical components in heavy machinery such as wind turbines. They may suffer from various failure modes, due to the harsh working environment. Dynamic modeling is a useful method to support early fault detection for enhancing reliability and reducing maintenance costs. However, reported studies have not considered the sun gear tooth crack and bearing clearance simultaneously to analyze their combined effect on vibration characteristics of planetary gearboxes. In this paper, a dynamic model is developed for planetary gearboxes considering the clearance of planet gear, sun gear, and carrier bearings, as well as sun gear tooth crack levels. Bearing forces are calculated considering bearing clearance, and the dynamic model equations are updated accordingly. The results reveal that the combination of bearing clearances can affect the vibration response with sun gear tooth crack by increasing the kurtosis. It is found that the effect of planet gear bearing clearance is very small, while the sun gear and carrier bearing clearance has clear impact on the vibration responses. These findings suggest that the incorporation of bearing clearance is important for planetary gearbox dynamic modeling.
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40

Zeng, Qingliang, Shoubo Jiang, Lirong Wan, and Xueyi Li. "Finite element modeling and analysis of planetary gear transmission based on transient meshing properties." International Journal of Modeling, Simulation, and Scientific Computing 06, no. 03 (September 2015): 1550035. http://dx.doi.org/10.1142/s179396231550035x.

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Planetary gear trains are widely applied in various transmission units. Whether strengths of all gears are accurately calculated or not can affect reliability of the entire system significantly. Strength calculation method for planetary gear trains usually follows the method for cylindrical gears, in which the worst meshing positions for both contact stress and bending stress cannot be determined precisely, and calculation results tend to be conservative. To overcome these shortcomings, a kinematics analysis for a planetary gear train is firstly performed, in which the influence of relative speed is investigated. Then the finite element strength analysis of a planetary gear train based on its transient meshing properties is carried out in ANSYS. Time–history curves of contact and bending stresses of sun gear, planetary gears and ring gear are respectively obtained. Also the accurate moment and its corresponding position of the maximum stress are precisely determined. Finally, calculation results of finite element method (FEM) and traditional method are compared in order to verify the effectiveness. Simulation and comparison show the stability of the proposed method in this paper. Researches in this paper establish the foundations for fatigue analysis and optimization for a planetary gear train.
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41

Rutily, B., L. Chevallier, J. Pelkowski, and J. Bergeat. "Exact results in modeling planetary atmospheres—II. Semi-gray atmospheres." Journal of Quantitative Spectroscopy and Radiative Transfer 109, no. 1 (January 2008): 28–42. http://dx.doi.org/10.1016/j.jqsrt.2007.07.004.

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42

Blelly, P. L., A. Marchaudon, M. Indurain, O. Witasse, J. Amaya, B. Chide, N. André, V. Génot, A. Goutenoir, and M. Bouchemit. "Transplanet: A web service dedicated to modeling of planetary ionospheres." Planetary and Space Science 169 (May 2019): 35–44. http://dx.doi.org/10.1016/j.pss.2019.02.008.

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Oppenheimer, Benjamin Darwin, John H. Bieging, Gary D. Schmidt, Karl D. Gordon, Karl A. Misselt, and Paul S. Smith. "Spectropolarimetry and Radiative Transfer Modeling of Three Proto–Planetary Nebulae." Astrophysical Journal 624, no. 2 (May 10, 2005): 957–72. http://dx.doi.org/10.1086/429081.

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Nutakor, Charles, Adam Kłodowski, Jussi Sopanen, Aki Mikkola, and José I. Pedrero. "Planetary gear sets power loss modeling: Application to wind turbines." Tribology International 105 (January 2017): 42–54. http://dx.doi.org/10.1016/j.triboint.2016.09.029.

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Shen, Zhixian, Baijie Qiao, Laihao Yang, Wei Luo, Ruqiang Yan, and Xuefeng Chen. "Dynamic modeling of planetary gear set with tooth surface wear." Procedia Manufacturing 49 (2020): 49–54. http://dx.doi.org/10.1016/j.promfg.2020.06.010.

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Simpson, David G., and Adolfo F. Vinas. "NASA Computational Case Study: Modeling Planetary Magnetic and Gravitational Fields." Computing in Science & Engineering 16, no. 4 (July 2014): 73–79. http://dx.doi.org/10.1109/mcse.2014.78.

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KUSAGAYA, Tairo, Takeo WATANABE, Hironori FUJII, Hirohisa KOJIMA, and Syunsuke IMAMURA. "236 Modeling and Dynamics of the Planetary Airship System(PLAS)." Proceedings of the Dynamics & Design Conference 2004 (2004): _236–1_—_236–5_. http://dx.doi.org/10.1299/jsmedmc.2004._236-1_.

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Bennett, David P. "AN EFFICIENT METHOD FOR MODELING HIGH-MAGNIFICATION PLANETARY MICROLENSING EVENTS." Astrophysical Journal 716, no. 2 (June 2, 2010): 1408–22. http://dx.doi.org/10.1088/0004-637x/716/2/1408.

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Holovatyy, V. V., B. Ya Melekh, and N. V. Havrylova. "The chemical composition of galactic planetary nebulae: Optimization photoionization modeling." Astronomy Reports 52, no. 4 (April 2008): 327–34. http://dx.doi.org/10.1134/s1063772908040070.

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Baklanov, Alexander A., Branko Grisogono, Robert Bornstein, Larry Mahrt, Sergej S. Zilitinkevich, Peter Taylor, Søren E. Larsen, Mathias W. Rotach, and H. J. S. Fernando. "The Nature, Theory, and Modeling of Atmospheric Planetary Boundary Layers." Bulletin of the American Meteorological Society 92, no. 2 (February 2011): 123–28. http://dx.doi.org/10.1175/2010bams2797.1.

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