Journal articles on the topic 'Lunar gravity field'

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1

Lorin, Clément, Alain Mailfert, and Denis Chatain. "Magnetic-Field Modulation of Gravity: Martian, Lunar, and Time-Varying Gravity." Microgravity Science and Technology 23, no. 2 (April 24, 2010): 135–42. http://dx.doi.org/10.1007/s12217-010-9192-y.

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2

Sinha, Manoranjan, N. S. Gopinath, and N. K. Malik. "Lunar gravity field modeling critical analysis and challenges." Advances in Space Research 45, no. 2 (January 2010): 322–49. http://dx.doi.org/10.1016/j.asr.2009.10.006.

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3

Yan, Jianguo, Shanhong Liu, Chi Xiao, Mao Ye, Jianfeng Cao, Yuji Harada, Fei Li, Xie Li, and Jean-Pierre Barriot. "A degree-100 lunar gravity model from the Chang’e 5T1 mission." Astronomy & Astrophysics 636 (April 2020): A45. http://dx.doi.org/10.1051/0004-6361/201936802.

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Context. Chinese lunar missions have grown in number over the last ten years, with an increasing focus on radio science investigations. In previous work, we estimated two lunar gravity field models, CEGM01 and CEGM02. The recently lunar mission, Chang’e 5T1, which had an orbital inclination between 18 and 68 degrees, and collected orbital tracking data continually for two years, made an improved gravity field model possible. Aims. Our aim was to estimate a new lunar gravity field model up to degree and order 100, CEGM03, and a new tidal Love number based on the Chang’e 5T1 tracking data combined with the historical tracking data used in the solution of CEGM02. The new model makes use of tracking data with this particular inclination, which has not been used in previous gravity field modeling. Methods. The solution for this new model was based on our in-house software, LUGREAS. The gravity spectrum power, post-fit residuals after precision orbit determination (POD), lunar surface gravity anomalies, correlations between parameters, admittance and coherence with topography model, and accuracy of POD were analyzed to validate the new CEGM03 model. Results. We analyzed the tracking data of the Chang’e 5T1 mission and estimated the CEGM03 lunar gravity field model. We found that the two-way Doppler measurement accuracy reached 0.2 mm s−1 with 10 s integration time. The error spectrum shows that the formal error for CEGM03 was at least reduced by about 2 times below the harmonic degree of 20, when compared to the CEGM02 model. The admittance and correlation of gravity and topography was also improved when compared to the correlations for the CEGM02 model. The lunar potential Love number k2 was estimated to be 0.02430±0.0001 (ten times the formal error). Conclusions. From the model analysis and comparison of the various models, we identified improvements in the CEGM03 model after introducing Chang’e 5T1 tracking data. Moreover, this study illustrates how the low and middle inclination orbits could contribute better accuracy for a low degree of lunar gravity field.
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4

Konopliv, A. S. "Improved Gravity Field of the Moon from Lunar Prospector." Science 281, no. 5382 (September 4, 1998): 1476–80. http://dx.doi.org/10.1126/science.281.5382.1476.

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5

YAN, Jian-Guo, Jing-Song PING, Fei LI, K. Matsumoto, Guang-Li WANG, and Xian SHI. "Simulation of the Lunar Gravity Field Recovery Based on Lunar Solo and Bi-Orbiters." Chinese Journal of Geophysics 50, no. 2 (March 2007): 399–403. http://dx.doi.org/10.1002/cjg2.1048.

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6

Jianguo, Yan, Ping Jinsong, Li Fei, Cao Jianfeng, Huang Qian, and Fung Lihe. "Chang’E-1 precision orbit determination and lunar gravity field solution." Advances in Space Research 46, no. 1 (July 2010): 50–57. http://dx.doi.org/10.1016/j.asr.2010.03.002.

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7

Yan, Jianguo, Luyuan Xu, Fei Li, Koji Matsumoto, J. Alexis P. Rodriguez, Hideaki Miyamoto, and James M. Dohm. "Lunar core structure investigation: Implication of GRAIL gravity field model." Advances in Space Research 55, no. 6 (March 2015): 1721–27. http://dx.doi.org/10.1016/j.asr.2014.12.038.

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8

Floberghagen, Rune, Pieter Visser, and Frank Weischede. "Lunar albedo force modeling and its effect on low lunar orbit and gravity field determination." Advances in Space Research 23, no. 4 (January 1999): 733–38. http://dx.doi.org/10.1016/s0273-1177(99)00155-6.

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9

CHEN, Jun-Yong, Jin-Sheng NING, Chuan-Yin ZHANG, and Jia LUO. "On the Determination of the Lunar Gravity Field from the First Chinese Lunar Prospector Mission." Chinese Journal of Geophysics 48, no. 2 (March 2005): 303–11. http://dx.doi.org/10.1002/cjg2.654.

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10

Arinchev, S. V. "Spacecraft Motion in an Ultra-Low Lunar Orbit under Lunar Gravitational Anomalies." Proceedings of Higher Educational Institutions. Маchine Building, no. 2 (743) (February 2022): 75–84. http://dx.doi.org/10.18698/0536-1044-2022-2-75-84.

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The study centers around the interdisciplinary problem: gravimetry and celestial mechanics. A spacecraft is aimed at a flight from one point of the Moon to another at an altitude of 1 km in a flat circular orbit. Under gravitational anomalies, the orbit deviates from a circular one, acquiring a spatial character. To account for gravitational anomalies, we introduce the mass concentration method, according to which the resulting gravitational field is a superposition of elementary fields of individual mass concentrations (mascons). The elementary field of an individual mascon has four parameters: latitude, longitude, depth, and positive or negative mass. Each parameter of the mascon is associated with a pseudo-random variable with a uniform distribution law in a given interval. The pseudo-random values ??are generated by the Wichmann-Hill PRNG. The problem under consideration is reduced to the Cauchy problem with initial conditions. Under gravitational anomalies, a few orbits after the launch, the spacecraft falls onto the lunar surface. The study shows that one orbit is enough for a safe flight. The spacecraft moves in the specified ultra-low orbit under gravity-anomaly noise. Anomalous gravitational overload is 0.1 m/sec2.
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11

Floberghagen, Rune, Johannes Bouman, Radboud Koop, and Pieter Visser. "On the information contents and regularisation of lunar gravity field solutions." Advances in Space Research 23, no. 11 (January 1999): 1801–7. http://dx.doi.org/10.1016/s0273-1177(99)00534-7.

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12

Yan, Jianguo, Jingsong Ping, K. Matsumoto, and Fei Li. "The simulation of lunar gravity field recovery from D-VLBI of Chang’E-1 and SELENE lunar orbiters." Advances in Space Research 42, no. 2 (July 2008): 337–40. http://dx.doi.org/10.1016/j.asr.2007.11.011.

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13

YAN, Jian-Guo, Jin-Song PING, Fei LI, and Wei WANG. "Analyzing the haracter of Lunar Gravity Field by LP165P Model and Its Effect on Lunar Satellite Orbit." Chinese Journal of Geophysics 49, no. 2 (March 2006): 348–55. http://dx.doi.org/10.1002/cjg2.844.

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14

Exirifard, Qasem. "Gravitomagnetism in modified theory of gravity." International Journal of Modern Physics D 28, no. 15 (November 2019): 1950169. http://dx.doi.org/10.1142/s0218271819501694.

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We study the gravitomagnetism in the Scalar-Vector-Tensor theory or Moffat’s Modified theory of Gravity (MOG). We compute the gravitomagnetic field that a slow-moving mass distribution produces in its Newtonian regime. We report that the consistency between the MOG gravitomagnetic field and that predicted by the Einstein’s gravitational theory and measured by Gravity Probe B, LAGEOS and LAGEOS 2, and with a number of GRACE and Laser Lunar ranging measurements requires [Formula: see text].
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15

Liu, Q., F. Kikuchi, K. Matsumoto, S. Goossens, H. Hanada, Y. Harada, X. Shi, et al. "Same-beam VLBI observations of SELENE for improving lunar gravity field model." Radio Science 45, no. 2 (April 2010): n/a. http://dx.doi.org/10.1029/2009rs004203.

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16

YAN, JianGuo, Matsumoto KOJI, JinSong PING, Goossens SANDER, JunZe LIU, JinLing LI, GeShi TANG, and Fei LI. "Optimization on lunar gravity field model using Chang'E-1 orbital tracking data." SCIENTIA SINICA Physica, Mechanica & Astronomica 41, no. 7 (June 1, 2011): 870–78. http://dx.doi.org/10.1360/132010-868.

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17

Goossens, S., K. Matsumoto, Q. Liu, F. Kikuchi, K. Sato, H. Hanada, Y. Ishihara, et al. "Lunar gravity field determination using SELENE same-beam differential VLBI tracking data." Journal of Geodesy 85, no. 4 (December 7, 2010): 205–28. http://dx.doi.org/10.1007/s00190-010-0430-2.

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18

Zhao, Shuheng, Denghong Liu, Qiangqiang Yuan, and Jie Li. "A Global Gravity Reconstruction Method for Mercury Employing Deep Convolutional Neural Network." Remote Sensing 12, no. 14 (July 17, 2020): 2293. http://dx.doi.org/10.3390/rs12142293.

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Mercury, the enigmatic innermost planet in the solar system, is one of the most important targets of space exploration. High-quality gravity field data are significant to refine the physical characterization of Mercury in planetary exploration missions. However, Mercury’s gravity model is limited by relatively low spatial resolution and stripe noises, preventing fine-scale analysis and applications. By analyzing Mercury’s gravity data and topography data in the 2D spatial field, we find they have fairly high spatial structure similarity. Based on this, in this paper, a novel convolution neural network (CNN) approach is proposed to improve the quality of Mercury’s gravity field data. CNN can extract the spatial structure features of gravity data and construct a nonlinear mapping between low- and high-degree data directly. From a low-degree gravity input, the corresponding initial high-degree result can be obtained. Meanwhile, the structure characteristics of the high-resolution digital elevation model (DEM) are extracted and fused to the initial data, to get the final stripe-free result with improved resolution. Given the paucity of Mercury’s data, high-quality lunar datasets are employed as pretraining data after verifying the spatial similarity between gravity and terrain data of the Moon. The HgM007 gravity field obtained by the MErcury Surface, Space ENvironment, GEochemistry and Ranging (MESSENGER) mission at Mercury is selected for experiments to test the ability of the proposed algorithm to remove the stripes caused by quality differences of the highly eccentric orbit data. Experimental results show that our network can directly obtain stripe-free and higher-degree data via inputting low-degree data and implicitly assuming a lunar-like relation between crustal density and porosity. Albeit the CNN-based method cannot be sensitive to subsurface features not present in the initial dataset, it still provides a new perspective for the gravity field refinement.
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19

Hanada, Hideo, Takahiro Iwata, Qinghui Liu, Fuyuhiko Kikuchi, Koji Matsumoto, Sander Goossens, Yuji Harada, et al. "Overview of Differential VLBI Observations of Lunar Orbiters in SELENE (Kaguya) for Precise Orbit Determination and Lunar Gravity Field Study." Space Science Reviews 154, no. 1-4 (May 19, 2010): 123–44. http://dx.doi.org/10.1007/s11214-010-9656-9.

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20

Zheng, Wei, Houtse Hsu, Min Zhong, and Meijuan Yun. "Improvement in the Recovery Accuracy of the Lunar Gravity Field Based on the Future Moon-ILRS Spacecraft Gravity Mission." Surveys in Geophysics 36, no. 4 (April 5, 2015): 587–619. http://dx.doi.org/10.1007/s10712-015-9324-4.

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21

Yan, Jianguo, Zhen Zhong, Fei Li, James M. Dohm, Jinsong Ping, Jianfeng Cao, and Xie Li. "Comparison analyses on the 150×150 lunar gravity field models by gravity/topography admittance, correlation and precision orbit determination." Advances in Space Research 52, no. 3 (August 2013): 512–20. http://dx.doi.org/10.1016/j.asr.2013.03.033.

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22

Yan, Jianguo, Oliver Baur, Li Fei, and Ping Jinsong. "Long-wavelength lunar gravity field recovery from simulated orbit and inter-satellite tracking data." Advances in Space Research 52, no. 11 (December 2013): 1919–28. http://dx.doi.org/10.1016/j.asr.2013.08.008.

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23

Maier, Andrea, and Oliver Baur. "Orbit determination and gravity field recovery from Doppler tracking data to the Lunar Reconnaissance Orbiter." Planetary and Space Science 122 (March 2016): 94–100. http://dx.doi.org/10.1016/j.pss.2016.01.014.

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24

Matsumoto, Koji, Hideo Hanada, Noriyuki Namiki, Takahiro Iwata, Sander Goossens, Seiitsu Tsuruta, Nobuyuki Kawano, and David D. Rowlands. "A simulation study for anticipated accuracy of lunar gravity field model by SELENE tracking data." Advances in Space Research 42, no. 2 (July 2008): 331–36. http://dx.doi.org/10.1016/j.asr.2007.03.066.

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25

Konopliv, Alex S., Ryan S. Park, Dah-Ning Yuan, Sami W. Asmar, Michael M. Watkins, James G. Williams, Eugene Fahnestock, et al. "The JPL lunar gravity field to spherical harmonic degree 660 from the GRAIL Primary Mission." Journal of Geophysical Research: Planets 118, no. 7 (July 2013): 1415–34. http://dx.doi.org/10.1002/jgre.20097.

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26

Boucher, C. "Relativistic effects in geodynamics." Symposium - International Astronomical Union 114 (1986): 241–53. http://dx.doi.org/10.1017/s0074180900148260.

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Geodesy has now reached such an accuracy in both measuring and modelling that time variations of the size, shape and gravity field of the Earth must be basically considered under the name of Geodynamics. The objective is therefore the description of point positions and gravity field functions in a terrestrial reference frame, together with their time variations.For this purpose, relativistic effects must be taken into account in models. Currently viable theories of gravitation such as Einstein's General Relativity can be expressed in the solar system into the parametrized post-newtonian (PPN) formalism. Basic problems such as the motion of a test particle give a satisfactory answer to the relativistic modelling in Geodynamics.The relativistic effects occur in the definition of a terrestrial reference frame and gravity field. They also appear widely into terrestrial (gravimetry, inertial techniques) and space (satellite laser, Lunar laser, VLBI, satellite radioelectric tracking …) measurements.
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Shevchuk, Stanislav O., Elena S. Cheremisina, and Nikolay S. Kosarev. "SATELLITE NAVIGATION EQUIPMENT FOR SOLAR SYSTEM OBJECTS EXPLORATION." Interexpo GEO-Siberia 1, no. 2 (July 8, 2020): 128–39. http://dx.doi.org/10.33764/2618-981x-2020-1-2-128-139.

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The article contains the overview of perspective satellite navigation systems for other planets and objects of Solar System. The example of this conception for the Moon is considered. The paper contains the brief overview of Moon exploration perspectives. An overview of countries’ space agencies programs on the Moon with automatic and human missions. The problem of lunar and cislunar navigation is considered, the ways of its solution are overviewed. One of the possible cases for lunar and cislunar navigation system realization is to create the satellite system similar to the Earth’s GNSS using the existing experiences. The main goal of the article is the conception of lunar receiver designed for the lunar navigation satellite system in case it is similar to GLONASS. The formulas’ simplifications because of Moon’s features are considered, including: absence of atmosphere and as a result absence of ionospheric and tropospheric delays; more simple gravity field because of small flattering (almost spherical shape). The conclusions on perspectives of the lunar navigation are made.
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Goossens, Sander, Yoshiaki Ishihara, Koji Matsumoto, and Sho Sasaki. "Local lunar gravity field analysis over the South Pole-Aitken basin from SELENE farside tracking data." Journal of Geophysical Research: Planets 117, E2 (February 2012): n/a. http://dx.doi.org/10.1029/2011je003831.

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29

Bâki Iz, Hüseyin. "A preliminary error analysis of the gravity field recovery from a lunar Satellite-to-Satellite mission." Bulletin Géodésique 67, no. 3 (September 1993): 173–77. http://dx.doi.org/10.1007/bf00806255.

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30

Antoni, Markus. "A review of different mascon approaches for regional gravity field modelling since 1968." History of Geo- and Space Sciences 13, no. 2 (September 29, 2022): 205–17. http://dx.doi.org/10.5194/hgss-13-205-2022.

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Abstract. The geodetic and geophysical literature shows an abundance of mascon approaches for modelling the gravity field of the Moon or Earth on global or regional scales. This article illustrates the differences and similarities between the methods, which are labelled as mascon approaches by their authors. Point mass mascons and planar disc mascons were developed for modelling the lunar gravity field from Doppler tracking data. These early models had to consider restrictions in observation geometry, computational resources or geographical pre-knowledge, which influenced the implementation. Mascon approaches were later adapted and applied for the analysis of GRACE observations of the Earth's gravity field, with the most recent methods based on the simple layer potential. Differences among the methods relate to the geometry of the mascon patches and to the implementation of the gradient and potential for field analysis and synthesis. Most mascon approaches provide a direct link between observation and mascon parameters – usually the surface density or the mass of an element – while some methods serve as a post-processing tool of spherical harmonic solutions. This article provides a historical overview of the different mascon approaches and sketches their properties from a theoretical perspective.
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31

Jiang, Mingjing, Fang Liu, Huaning Wang, and Xinxin Wang. "Investigation of the effect of different gravity conditions on penetration mechanisms by the Distinct Element Method." Engineering Computations 32, no. 7 (October 5, 2015): 2067–99. http://dx.doi.org/10.1108/ec-07-2014-0153.

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Purpose – The purpose of this paper is to present an investigation of the effect of different gravity conditions on the penetration mechanism using the two-dimensional Distinct Element Method (DEM), which ranges from high gravity used in centrifuge model tests to low gravity incurred by serial parabolic flight, with the aim of efficiently analyzing cone penetration tests on the lunar surface. Design/methodology/approach – Seven penetration tests were numerically simulated on loose granular ground under different gravity conditions, i.e. one-sixth, one-half, one, five, ten, 15 and 20 terrestrial gravities. The effect of gravity on the mechanisms is examined with aspect to the tip resistance, deformation pattern, displacement paths, stress fields, stress paths, strain and rotation paths, and velocity fields during the penetration process. Findings – First, under both low and high gravities, the penetration leads to high gradients of the value and direction of stresses in addition to high gradients in the velocity field near the penetrometer. In addition, the soil near the penetrometer undergoes large rotations of the principal stresses. Second, high gravity leads to a larger rotation of principal stresses and more downward particle motions than low gravity. Third, the tip resistance increases with penetration depth and gravity. Both the maximum (steady) normalized cone tip resistance and the maximum normalized mean (deviatoric) stress can be uniquely expressed by a linear equation in terms of the reciprocal of gravity. Originality/value – This study investigates the effect of different gravity conditions on penetration mechanisms by using DEM.
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32

PANG, LiJun, Zhen ZHONG, and JianGuo YAN. "Geophysical parameters inversion for Apollo crater based on recent high-resolution lunar gravity field and topography data." SCIENTIA SINICA Physica, Mechanica & Astronomica 45, no. 2 (January 1, 2015): 029601. http://dx.doi.org/10.1360/sspma2014-00302.

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33

Xie, Yi, and Sergei Kopeikin. "Reference frames, gauge transformations and gravitomagnetism in the post-Newtonian theory of the lunar motion." Proceedings of the International Astronomical Union 5, S261 (April 2009): 40–44. http://dx.doi.org/10.1017/s1743921309990123.

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AbstractWe construct a set of reference frames for description of the orbital and rotational motion of the Moon. We use a scalar-tensor theory of gravity depending on two parameters of the parametrized post-Newtonian (PPN) formalism and utilize the concepts of the relativistic resolutions on reference frames adopted by the International Astronomical Union in 2000. We assume that the solar system is isolated and space-time is asymptotically flat. The primary reference frame has the origin at the solar-system barycenter (SSB) and spatial axes are going to infinity. The SSB frame is not rotating with respect to distant quasars. The secondary reference frame has the origin at the Earth-Moon barycenter (EMB). The EMB frame is local with its spatial axes spreading out to the orbits of Venus and Mars and not rotating dynamically in the sense that both the Coriolis and centripetal forces acting on a free-falling test particle, moving with respect to the EMB frame, are excluded. Two other local frames, the geocentric (GRF) and the selenocentric (SRF) frames, have the origin at the center of mass of the Earth and Moon respectively. They are both introduced in order to connect the coordinate description of the lunar motion, observer on the Earth, and a retro-reflector on the Moon to the observable quantities which are the proper time and the laser-ranging distance. We solve the gravity field equations and find the metric tensor and the scalar field in all frames. We also derive the post-Newtonian coordinate transformations between the frames and analyze the residual gauge freedom of the solutions of the field equations. We discuss the gravitomagnetic effects in the barycentric equations of the motion of the Moon and argue that they are beyond the current accuracy of lunar laser ranging (LLR) observations.
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34

Ping, Jinsong, Xian Shi, Nianchuan Jian, Sujun Zhang, Mingyuan Wang, and Kun Shang. "Brief Introduction of Promoting the Chinese Program For Exploring the Martian System." Proceedings of the International Astronomical Union 10, H16 (August 2012): 165. http://dx.doi.org/10.1017/s1743921314005201.

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AbstractFollowing the progress of Chinese deep space exploration step, since 2006 we started a Mars mission, Yinghuo-1, by join in the Phobos-Grunt mission of Russia. A satellite bus platform and onboard payloads as well as an innovative open-loop radio tracking system have been developed by mission team. Also, together with Russian and German colleagues, we developed a kind of in-beam tracking method for measuring the rotation and nutation of Phobos, and developed the 1st Phobos global gravity field for the mission. We are promoting the Chinese new mission for Mars exploration. Although the joint YH-1 & Phobos-Grunt mission failed, the new techniques and knowledge developed by mission teams may benifit the future missions. In fact, the open-loop technique have been applied into lunar and other planetary missions, and the method in developing Phobos global gravity field will be used in the study of Rosetta mission and future Chinese mission for small body.
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35

Smith, David E., Vishnu Viswanathan, Erwan Mazarico, Sander Goossens, James W. Head, Gregory A. Neumann, and Maria T. Zuber. "The Contribution of Small Impact Craters to Lunar Polar Wander." Planetary Science Journal 3, no. 9 (September 1, 2022): 217. http://dx.doi.org/10.3847/psj/ac8c39.

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Abstract Changes in mass distribution affect the gravitational figure and reorient a planetary body’s surface with respect to its rotational axis. The mass anomalies in the present-day lunar gravity field can reveal how the figure and pole position have evolved over the Moon’s history. By examining sequentially each individual crater and basin, working backward in time order through the catalog of nearly 5200 craters and basins between 1200 and 20 km in diameter, we investigate their contribution to the lunar gravitational figure and reconstruct the evolution of the pole position by extracting their gravitational signatures from the present-day Moon. We find that craters and basins in this diameter range, which excludes South Pole–Aitken, have contributed to nearly 25% of the present-day power from the Moon’s degree-2 gravitational figure and resulted in a total displacement of the Moon’s pole by ∼10° along the Earth–Moon tidal axis over the past ∼4.25 billion years. This also implies that the geographical location of the Moon’s rotational pole has not moved since ∼3.8 Ga by more than ∼2° in latitude owing to impacts, and this has implications for the long-term stability of volatiles in the polar regions.
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36

Yan, Jianguo, Fei Li, Qinghui Liu, Jinsong Ping, Zhen Zhong, and Jinling Li. "Proposal of application of same beam VLBI measurements in precision orbit determination of lunar orbiter and return capsule and lunar gravity field simulation in Chang’E-3 mission." Advances in Space Research 48, no. 10 (November 2011): 1676–81. http://dx.doi.org/10.1016/j.asr.2011.07.019.

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37

Flechtner, Frank, Karl Hans Neumayer, Jürgen Kusche, Wolfgang Schäfer, and Frank Sohl. "Simulation study for the determination of the lunar gravity field from PRARE-L tracking onboard the German LEO mission." Advances in Space Research 42, no. 8 (October 2008): 1405–13. http://dx.doi.org/10.1016/j.asr.2008.06.003.

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38

Martini, M., S. Dell’Agnello, D. Currie, G. O. Delle Monache, R. Vittori, S. Berardi, A. Boni, et al. "MOONLIGHT: A NEW LUNAR LASER RANGING RETROREFLECTOR AND THE LUNAR GEODETIC PRECESSION." Acta Polytechnica 53, A (December 17, 2013): 746–49. http://dx.doi.org/10.14311/ap.2013.53.0746.

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Since the 1970s Lunar Laser Ranging (LLR) to the Apollo Cube Corner Retroreflector (CCR) arrays (developed by the University of Maryland, UMD) supplied almost all significant tests of General Relativity (Alley et al., 1970; Chang et al., 1971; Bender et al.,1973): possible changes in the gravitational constant, gravitational self-energy, weak equivalence principle, geodetic precession, inverse-square force-law. The LNF group, in fact, has just completed a new measurement of the lunar geodetic precession with Apollo array, with accuracy of 9 × 10−3, comparable to the best measurement to date. LLR has also provided significant information on the composition and origin of the moon. This is the only Apollo experiment still in operation. In the 1970s Apollo LLR arrays contributed a negligible fraction of the ranging error budget. Since the ranging capabilities of ground stations improved by more than two orders of magnitude, now, because of the lunar librations, Apollo CCR arrays dominate the error budget. With the project MoonLIGHT (Moon Laser Instrumentation for General relativity High-accuracy Tests), in 2006 INFN-LNF joined UMD in the development and test of a new-generation LLR payload made by a single, large CCR (100mm diameter) unaffected by the effect of librations. With MoonLIGHT CCRs the accuracy of the measurement of the lunar geodetic precession can be improved up to a factor 100 compared to Apollo arrays. From a technological point of view, INFN-LNF built and is operating a new experimental apparatus (Satellite/lunar laser ranging Characterization Facility, SCF) and created a new industry-standard test procedure (SCF-Test) to characterize and model the detailed thermal behavior and the optical performance of CCRs in accurately laboratory-simulated space conditions, for industrial and scientific applications. Our key experimental innovation is the concurrent measurement and modeling of the optical Far Field Diffraction Pattern (FFDP) and the temperature distribution of retroreflector payloads under thermal conditions produced with a close-match solar simulator. The apparatus includes infrared cameras for non-invasive thermometry, thermal control and real-time payload movement to simulate satellite orientation on orbit with respect to solar illumination and laser interrogation beams. These capabilities provide: unique pre-launch performance validation of the space segment of LLR/SLR (Satellite Laser Ranging); retroreflector design optimization to maximize ranging efficiency and signal-to-noise conditions in daylight. Results of the SCF-Test of our CCR payload will be presented. Negotiations are underway to propose our payload and SCF-Test services for precision gravity and lunar science measurements with next robotic lunar landing missions. In particular, a scientific collaboration agreement was signed on Jan. 30, 2012, by D. Currie, S. Dell’Agnello and the Japanese PI team of the LLR instrument of the proposed SELENE-2 mission by JAXA (Registered with INFN Protocol n. 0000242-03/Feb/2012). The agreement foresees that, under no exchange of funds, the Japanese single, large, hollow LLR reflector will be SCF-Tested and that MoonLIGHT will be considered as backup instrument.
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39

Valitov, M. G., and Z. N. Proshkina. "Change in the amplitude indicators in tidal variations of gravity during the preparation of nearby earthquakes." Geosystems of Transition Zones 5, no. 3 (2021): 223–29. http://dx.doi.org/10.30730/gtrz.2021.5.3.223-228.

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The authors revealed an effect of gravitational field variations for the principal lunar wave O1, which preceded nearby earthquakes, using for the first time the approach based on the method of calculating tidal parameters in a sliding window with various window width (from 30 to 120 days). Since the observed data were free from the oceanic load, this effect is assumed to be associated with a local restructuring of the density medium in the solid Earth. A seasonal cyclycity was revealed for the K1 wave. Such cyclycity was not taken into account when compiling a solid Earth model PREM (preliminary reference Earth model).
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40

Zhang, Haiyan, Cunhui Li, Jilin You, Xiaoping Zhang, Yi Wang, Liping Chen, Qingfei Fu, Baogui Zhang, and Yuming Wang. "The Investigation of Plume-Regolith Interaction and Dust Dispersal during Chang’E-5 Descent Stage." Aerospace 9, no. 7 (July 5, 2022): 358. http://dx.doi.org/10.3390/aerospace9070358.

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The plume-surface interaction that occurs as a result of a variable-thrust engine exhaust plume impinging on soil during landings is critical for future lunar mission design. Unique lunar environmental properties, such as low gravity, high vacuum, and the regolith layer, make this study complex and challenging. In this paper, we build a reliable simulation model, with constraints based on landing photos, to characterize the erosion properties induced by a low-thrust engine plume. We focus on the low-thrust plume-surface erosion process and erosion properties during the Chang’E-5 mission, aiming to determine the erosion difference between high- and low-thrust conditions; this is a major concern, as the erosion process for a low-thrust lunar mission is rarely studied. First, to identify the entire erosion process and its relative effect on the flat lunar surface, a one-to-one rocket nozzle simulation model is built; ground experimental results are utilized to verify the simulated inlet parameters of the vacuum plume flow field. Following that, plume flow is considered using the finite volume method, and the Roberts erosion model, based on excess shear stress, is adopted to describe plume-surface interaction properties. Finally, a Lagrangian framework using the discrete phase model is selected to investigate the dynamic properties of lunar dust particles. Results show that erosion depth, total ejected mass, and the maximum particle incline angle during the Chang’E-5 landing period are approximately 0.2 cm, 335.95 kg, and 4.16°, respectively. These results are not only useful for the Chang’E-5 lunar sample analysis, but also for future lunar mission design.
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41

Orlov, S. "Reasons for Removal of the Moon." Journal of Advance Research in Applied Science (ISSN: 2208-2352) 3, no. 2 (February 29, 2016): 07–17. http://dx.doi.org/10.53555/nnas.v3i2.659.

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In article the new concept of an explanation of the reason of removal of the Moon from Earth is offered to consideration. It is based on the theory of vortex gravitation, cosmology and a cosmogony. The main reason for this removal is that gravity, the earth's field does not create our planet, and ether vortex The orbital plane of the Moon doesn't coincide with the plane of a gravitational whirlwind that creates reduction of forces of an attraction of the Moon to Earth on some sites of its orbit. Removal of a lunar orbit happens a consequence of it.
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42

Han, Shin-Chan, Erwan Mazarico, David Rowlands, Frank Lemoine, and Sander Goossens. "New analysis of Lunar Prospector radio tracking data brings the nearside gravity field of the Moon with an unprecedented resolution." Icarus 215, no. 2 (October 2011): 455–59. http://dx.doi.org/10.1016/j.icarus.2011.07.020.

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43

Wahl, D., and J. Oberst. "LATERAL VARIATIONS IN BULK DENSITY AND POROSITY OF THE UPPER LUNAR CRUST FROM HIGH-RESOLUTION GRAVITY AND TOPOGRAPHY DATA: COMPARISON OF DIFFERENT ANALYSIS TECHNIQUES." ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences IV-2/W5 (May 29, 2019): 527–32. http://dx.doi.org/10.5194/isprs-annals-iv-2-w5-527-2019.

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<p><strong>Abstract.</strong> We map lateral variations in bulk density of the upper lunar highland crust using the most recent GRAIL gravity field solution of degree and order 1500 in combination with LOLA topography data, both truncated to an upper limit of degree and order 700. Our maps have a spatial resolution of 0.75&amp;deg;, where each grid point was calculated using circular analysis regions of 3&amp;deg; radius. We apply two methods, which yield similar results for most parts of the study area. The first method minimizes the correlation between topography and Bouguer anomalies, the second maximizes the smoothness of the Bouguer anomalies. Both approaches suffer in the case that terrain is flat and lacks topographic features; consequently, this is where results from the two methods differ. We also mapped porosity of the crust using grain densities derived from Lunar Prospector spectrometry and sample analysis. It appears that variations in bulk density are mostly related to differences in crustal porosity. We find that high porosity is often associated with areas of impact basins. This confirms earlier studies, that impacts changed the geophysical characteristics of the lithosphere sustainably and that the high porosity of the upper lunar crust is most likely impact induced.</p>
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44

Odawara, Osamu. "Combustion Synthesis Technology for a Sustainable Settlement Overnight." Eurasian Chemico-Technological Journal 20, no. 1 (March 31, 2018): 3. http://dx.doi.org/10.18321/ectj703.

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Space technology has been developed for frontier exploration not only in low-earth orbit environment but also beyond the earth orbit to the Moon and Mars, where material resources might be strongly restricted and almost impossible to be resupplied from the earth for distant and long-term missions performance toward “long-stays of humans in space”. For performing such long-term space explorations, none would be enough to develop technologies with resources only from the earth; it should be required to utilize resources on other places with different nature of the earth, i.e., in-situ resource utilization. One of important challenges of lunar in-situ resource utilization is thermal control of spacecraft on lunar surface for long-lunar durations. Such thermal control under “long-term field operation” would be solved by “thermal wadis” studied as a part of sustainable researches on overnight survivals such as lunar-night. The resources such as metal oxides that exist on planets or satellites could be refined, and utilized as a supply of heat energy, where combustion synthesis can stand as a hopeful technology for such requirements. The combustion synthesis technology is mainly characterized with generation of high-temperature, spontaneous propagation of reaction, rapid synthesis and high operability under various influences with centrifugal-force, low-gravity and high vacuum. These concepts, technologies and hardware would be applicable to both the Moon and Mars, and these capabilities might achieve the maximum benefits of in-situ resource utilization with the aid of combustion synthesis applications. The present paper mainly concerns the combustion synthesis technologies for sustainable lunar overnight survivals by focusing on “potential precursor synthesis and formation”, “in-situ resource utilization in extreme environments” and “exergy loss minimization with efficient energy conversion”.
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45

Torres, Karla de Souza, and A. F. B. A. Prado. "Changing inclination of earth satellites using the gravity of the moon." Mathematical Problems in Engineering 2006 (2006): 1–13. http://dx.doi.org/10.1155/mpe/2006/13690.

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We analyze the problem of the orbital control of an Earth's satellite using the gravity of the Moon. The main objective is to study a technique to decrease the fuel consumption of a plane change maneuver to be performed in a satellite that is in orbit around the Earth. The main idea of this approach is to send the satellite to the Moon using a single-impulsive maneuver, use the gravity field of the Moon to make the desired plane change of the trajectory, and then return the satellite to its nominal semimajor axis and eccentricity using a bi-impulsive Hohmann-type maneuver. The satellite is assumed to start in a Keplerian orbit in the plane of the lunar orbit around the Earth and the goal is to put it in a similar orbit that differs from the initial orbit only by the inclination. A description of the close-approach maneuver is made in the three-dimensional space. Analytical equations based on the patched conics approach are used to calculate the variation in velocity, angular momentum, energy, and inclination of the satellite. Then, several simulations are made to evaluate the savings involved. The time required by those transfers is also calculated and shown.
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46

Wagner, G. L., G. Ferrando, and W. R. Young. "An asymptotic model for the propagation of oceanic internal tides through quasi-geostrophic flow." Journal of Fluid Mechanics 828 (September 12, 2017): 779–811. http://dx.doi.org/10.1017/jfm.2017.509.

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We derive a time-averaged ‘hydrostatic wave equation’ from the hydrostatic Boussinesq equations that describes the propagation of inertia–gravity internal waves through quasi-geostrophic flow. The derivation uses a multiple-scale asymptotic method to isolate wave field evolution over intervals much longer than a wave period, assumes the wave field has a well-defined non-inertial frequency such as that of the mid-latitude semi-diurnal lunar tide, assumes that the wave field and quasi-geostrophic flow have comparable spatial scales and neglects nonlinear wave–wave dynamics. As a result the hydrostatic wave equation is a reduced model applicable to the propagation of large-scale internal tides through the inhomogeneous and moving ocean. A numerical comparison with the linearized and hydrostatic Boussinesq equations demonstrates the validity of the hydrostatic wave equation model and illustrates how the model fails when the quasi-geostrophic flow is too strong and the wave frequency is too close to inertial. The hydrostatic wave equation provides a first step toward a coupled model for energy transfer between oceanic internal tides and quasi-geostrophic eddies and currents.
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47

Qiao, Lei, Gang Chen, Wanlin Gong, Xuesi Cai, Erxiao Liu, Mingkun Su, Xuyang Teng, Zhaoyang Qiu, and Huina Song. "E-Region Field-Aligned Irregularities in the Middle of a Solar Eclipse Observed by a Bistatic Radar." Remote Sensing 14, no. 2 (January 15, 2022): 392. http://dx.doi.org/10.3390/rs14020392.

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The Wuhan Ionospheric Oblique Backscatter Sounding System (WIOBSS) was applied as a bistatic radar to record the ionospheric E-region responses to a solar eclipse on 22 July 2009. The transmitter was located in Wuhan and the receiver was located in Huaian. The receiver observed anomalous echoes with larger Doppler shifts at the farther ranges compared with the echoes reflected by Es. According to the simulated ray propagation paths of the reflected and scattered waves, we considered that the anomalous echoes were scattered by E-region field-aligned irregularities (FAIs). The locations of the FAIs recorded by the WIOBSS were estimated with the International Geomagnetic Reference Field (IGRF) and the observed propagation parameters. These irregularities occurred at around the eclipse maximum and lasted for ~20–40 min. The steep plasma density gradient induced by the fast drop photo ionization under the lunar shadow was beneficial to the occurrence of gradient drift instability to generate the FAIs. They were different from the gravity wave-induced irregularities occurring in the recovery phase of the solar eclipse.
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48

Izquierdo, Kristel, Vedran Lekić, and Laurent G. J. Montési. "A Bayesian approach to infer interior mass anomalies from the gravity data of celestial bodies." Geophysical Journal International 220, no. 3 (December 3, 2019): 1687–99. http://dx.doi.org/10.1093/gji/ggz544.

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SUMMARY Inversions of planetary gravity are aimed at constraining the mass distribution within a planet or moon. In many cases, constraints on the interior structure of the planet, such as the depth of density anomalies, must be assumed a priori, to reduce the non-uniqueness inherent in gravity inversions. Here, we propose an alternative approach that embraces the non-uniqueness of gravity inversions and provides a more complete view of related uncertainties. We developed a Transdimensional Hierarchical Bayesian (THB) inversion algorithm that provides an ensemble of mass distribution models compatible with the gravitational field of the body. Using this ensemble of models instead of only one, it is possible to quantify the range of interior parameters that produce a good fit to the gravity acceleration data. To represent the interior structure of the planet or moon, we parametrize mass excess or deficits with point masses. We test this method with synthetic data and, in each test, the algorithm is able to find models that fit the gravity data of the body very well. Three of the target or test models used contain only point mass anomalies. When all the point mass anomalies in the target model produce gravity anomalies of similar magnitudes and the signals from each anomaly are well separated, the algorithm recovers the correct location, number and magnitude of the point mass anomalies. When the gravity acceleration data of a model is produced mostly by a subset of the point mass anomalies in the target model, the algorithm only recovers the dominant anomalies. The fourth target model is composed of spherical caps representing lunar mass concentration (mascons) under major impact basins. The algorithm finds the correct location of the centre of the mascons but fails to find their correct outline or shape. Although the inversion results appear less sharp than the ones obtained by classical inversion methods, our THB algorithm provides an objective way to analyse the interior of planetary bodies that includes epistemic uncertainty.
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49

Moons, M. "Libration of the Moon: shape of the Earth and motion of the ecliptic plane." Symposium - International Astronomical Union 114 (1986): 141–44. http://dx.doi.org/10.1017/s0074180900148119.

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Very accurate theories of the libration of the Moon have been recently built by Migus (1980), Eckhardt (1981, 1982) and Moons (1982, 1984). All of them take into account the perturbation due to the Earth and the Sun on the motion of a rigid Moon about its center of mass. Additional perturbations (influence of the planets, shape of the Earth, elasticity of the Moon, …) are also often included.We present here the perturbations due to the shape of the Earth and the motion of the ecliptic plane on our theory which already contains planetary perturbations. This theory is completely analytical with respect to the harmonic coefficients of the lunar gravity field which is expanded in spherical harmonics up to the fourth order. The ELP 2000 solution (Chapront and Chapront-Touzé, 1983) supplies us with the motion of the center of mass of the Moon.
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50

Zhang, Yi, Yixian Xu, Walter D. Mooney, and Chao Chen. "Local separation of potential field anomalies using equivalent sources: application for the 3-D structure of mantle uplift beneath Von Kármán crater, the Moon." Geophysical Journal International 227, no. 3 (August 5, 2021): 1612–23. http://dx.doi.org/10.1093/gji/ggab307.

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SUMMARY The separation of regional-residual anomalies plays an important role in the processing of potential field anomalies for obtaining better understandings of the nature of the underground sources. Many methods have been developed to achieve the separation of anomalies that are of distinct wavelengths. On the other hand, fewer studies have addressed the separation of local anomalies from the observed potential field anomalies. In this paper, we introduce a new process for separating localized anomalies from the observations under the Cartesian and spherical coordinates. The separation is achieved using the equivalent source technique and an iterative inversion process which is to refine and finalize the separated local anomalies. Additionally, we introduce an inversion method for determining the equivalent sources that are of varying dimensions, as well as a quantitative measurement to assess the accuracy of the separation process. Verified with synthetic examples, the proposed method could extract arbitrary shaped local anomalies from the rest with low error levels. Subsequently, we apply the method to the construction of a 3-D model of the mantle uplift beneath the Von Kármán crater (VKC) on the Moon. The VKC is the landing site of the Chinese lunar exploration mission Chang'e 4, which lies in the northwestern portion of the South-Pole Aitken (SPA) basin on the far side of the Moon. Multiple generations of mare basalts are identified within the VKC, which indicates a complex geological history of the basin. Insights into the evolutionary history of this region can be obtained by investigating the deep crustal structure of the VKC using topographic and gravity data. Processed with the proposed method, the 3-D structure we obtain provides evidence for separated mantle uplifting events triggered by the two impact events that created the VKC and the Von Kármán M crater, respectively.
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