Objectives This study aimed to develop and preliminarily assess the quality of a Mindfulness Breast Care(MBC)App to reduce body image distress and stigma among breast cancer survivors(BCSs).Methods The development pro...Objectives This study aimed to develop and preliminarily assess the quality of a Mindfulness Breast Care(MBC)App to reduce body image distress and stigma among breast cancer survivors(BCSs).Methods The development process of the MBC App involved:1)establishing a research group;2)determining of the content of the MBC App based on Mindfulness-Based Cognitive Therapy and 3)technical exploitation and maintenance.A mixed-methods study was conducted.We selected ten BCSs by a convenience sampling method.After using the APP for three months,five assessed the quality using the Mobile App Rating Scale:User Version(uMARS)and another five were interviewed for process evaluation.Results The MBC App was developed with three modules:1)Library to provide health education information on body image,stigma,mindfulness,recovery and etc;2)Mindfulness Yoga to offer 12 Hatha yoga videos for daily practice;and 3)Mindfulness Practices to have 12 sessions of mindfulness videoconferences.Based on the uMARS data,the MBC App received high ratings for functionality(4.10±0.34),aesthetics(3.93±0.55),information quality(4.10±0.72),and perceived impact(4.03±0.96),as well as moderate ratings for engagement(3.72±0.94)and subjective quality(3.87±0.77).Participants indicated that the MBC App provided reliable knowledge,information,and emotional support.Recommendations from participants included categorizing knowledge in the Library Module,recording videoconferences of mindfulness practice,and adding discussion sessions in the videoconference.Afterward,we optimized the MBC App to enhance the user experience accordingly.Conclusions The MBC App offers online mindfulness interventions specifically for BCSs in China.The preliminary quality assessment indicates that the MBC App may be a promising tool for delivering mindfulness interventions to BCSs.展开更多
This article explores the intersection of the Eight-Circuit Model of Consciousness (ECM), initially conceptualized by Timothy Leary and expanded by Robert Anton Wilson, and its implications for mind-body health. By an...This article explores the intersection of the Eight-Circuit Model of Consciousness (ECM), initially conceptualized by Timothy Leary and expanded by Robert Anton Wilson, and its implications for mind-body health. By analyzing each circuit’s role in human consciousness, we discuss how activating and balancing these circuits can lead to enhanced psychological well-being, stress reduction, and overall physical health. Recent research is integrated to provide a contemporary understanding of how the ECM can be applied to modern mind-body therapies, with a focus on both theoretical implications and practical applications.展开更多
Recently we proposed “quantum language”, which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes = Kant epistemology. And further we be...Recently we proposed “quantum language”, which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes = Kant epistemology. And further we believe that quantum language is the only scientifically successful theory in dualistic idealism. If this turn is regarded as progress in the history of western philosophy (i.e., if “philosophical progress” is defined by “approaching to quantum language”), we should study the linguistic mind-body problem more than the epistemological mind-body problem. In this paper, we show that to solve the mind-body problem and to propose “measurement axiom” in quantum language are equivalent. Since our approach is always within dualistic idealism, we believe that our linguistic answer is the only true solution to the mind-body problem.展开更多
This study investigates the formation feasibility of the integrated bottom car body components with dual die casting injection molding technology.During the production of a die-cast super-large one-piece body part wei...This study investigates the formation feasibility of the integrated bottom car body components with dual die casting injection molding technology.During the production of a die-cast super-large one-piece body part weighing over 10,000 t,a thorough comparison and investigation were conducted on the arising issues,using both single and double injection systems.Particular attention was given to meticulously discussing the die casting filling problems and microstructural defects that originated from the filling process.The research findings indicate that the implementation of a double injection system can significantly minimize cold shuts and reduce the solidification time.The effectiveness of this die casting technique was further confirmed by the production of high-quality castings using a scaled model that replicated real casting conditions at a 1:3 ratio,thereby maintaining a one-to-one correspondence in essential aspects.This successful study offers both theoretical insights and practical applications for the production of integrated bottom car bodies utilizing die casting in conjunction with a dual injection system.展开更多
In the interpretation of the body in the 20th century, philosophy placed less emphasis than before on its natural composition and sought to integrate value judgements from different perspectives. The philosophy of the...In the interpretation of the body in the 20th century, philosophy placed less emphasis than before on its natural composition and sought to integrate value judgements from different perspectives. The philosophy of the body addresses the deepest essential problems of human society and culture, it generates a uniquely detailed analysis of human nature and its various roles and performances in social operations, and it reveals contemporary society's operating mechanisms and deep internal contradictions. Accordingly, philosophy no longer gives the mind any priority or superiority in terms of cognition, and the focus of research has moved away from pure consciousness and towards the body. Contemporary philosophical exploration of the body covers both the concept of belongingness and the feasibility of bodily freedom. It not only foregrounds the impossibility of viewing the body and the mind as separate entities but also leads us to examine the connections between humans and the world, taking meaning, reason and the body as their basis. This paper explores the connections between body and thought in modern philosophy, traces the development of philosophy's increasing concern with the body, elucidates the main contributions of representative figures in the field of philosophy of the body, and analyses the methodological significance and influence of the philosophy of the body as a contemporary philosophical trend.展开更多
Our Solar System contains eight planets and their respective natural satellites excepting the inner two planets Mercury and Venus. A satellite hosted by a given Planet is well protected by the gravitational pertubatio...Our Solar System contains eight planets and their respective natural satellites excepting the inner two planets Mercury and Venus. A satellite hosted by a given Planet is well protected by the gravitational pertubation of much heavier planets such as Jupiter and Saturn if the natural satellite lies deep inside the respective host Planet Hill sphere. Each planet has a Hill radius a<sub>H</sub> and planet mean radius R<sub>P </sub>and the ratio R<sub>1</sub>=R<sub>P</sub>/a<sub>H</sub>. Under very low R<sub>1 </sub>(less than 0.006) the approximation of CRTBP (centrally restricted three-body problem) to two-body problem is valid and planet has spacious Hill lobe to capture a satellite and retain it. This ensures a high probability of capture of natural satellite by the given planet and Sun’s perturbation on Planet-Satellite binary can be neglected. This is the case with Earth, Mars, Jupiter, Saturn, Neptune and Uranus. But Mercury and Venus has R<sub>1</sub>=R<sub>P</sub>/a<sub>H</sub> =0.01 and 5.9862 × 10<sup>-3</sup> respectively hence they have no satellites. There is a limit to the dimension of the captured body. It must be a much smaller body both dimensionally as well masswise. The qantitative limit is a subject of an independent study.展开更多
翻译与修辞是两个相互独立的语言研究领域,却在理论与实践运行上存在理念和方法的重叠,翻译修辞学随之诞生。该学科作为翻译研究的分支学科,是一门新生学科,其研究仍处于初步摸索阶段。运用翻译修辞学指导具体实践不仅能够改善译文水平...翻译与修辞是两个相互独立的语言研究领域,却在理论与实践运行上存在理念和方法的重叠,翻译修辞学随之诞生。该学科作为翻译研究的分支学科,是一门新生学科,其研究仍处于初步摸索阶段。运用翻译修辞学指导具体实践不仅能够改善译文水平,还能反哺理论的发展。该文运用修辞学家哈里克提出的4种象征资源,探究中国科幻巨作《三体》系列第一部及其英译本The Three Body Problem中所运用的英译策略及其效果。研究发现,《三体》英译本积极运用了4种修辞策略,建立起译本认同,促进了作品的海外传播。可见,科幻作品英译过程中,合理运用修辞策略指导翻译能加强译本目标语群体的认同构建,有利于中国科幻作品“走出去”,传播中国文化。展开更多
A mechanics system consisting of three mass points on sphere S 2 is considered. The configuration space of the system is a fibre bundle over S 2 . It is proved that first Chern class of the bundle is -2 c 1...A mechanics system consisting of three mass points on sphere S 2 is considered. The configuration space of the system is a fibre bundle over S 2 . It is proved that first Chern class of the bundle is -2 c 1(γ) where γ is the canonical line bundle over the complex projective space CP 1=S 2 , which shows the bundle is non trivial. The information about the first Chern class makes the cohomology groups and homotopy groups of the configuration space worked out. In addition the effects of these topolo gical properties of the configuration space on the behavior in large scale of the system, as the number of equilibrium positions, periodic orbits and reduced phase space, are discussed.展开更多
Reconfiguration of formation flying around a halo orbit of the Sun-Earth restricted three body system is investigated with impulse maneuvers. For a short time reconfiguration, the two-impulse maneuver is investigated ...Reconfiguration of formation flying around a halo orbit of the Sun-Earth restricted three body system is investigated with impulse maneuvers. For a short time reconfiguration, the two-impulse maneuver is investigated with both analytical and numerical methods and the Beginning-Ending （BE） method is proven to be an energy-optimal one of all two-impulse （TI） reconfigurations, and the energy consumption of BE is independent of the position of the chief spacecraft, and decreases with the reconfiguration time. Then, genetic algorithm is adopted to optimize the energy consumption. The results show that the optimal energy increases with radius difference between the initial and final orbits, and decreases with the reconfiguration time.展开更多
Recently, the notion of general （containing symmetric and asymmetric） Lp-intersection bodies was given. In this article, by the Lp-dual mixed volumes and the general Lp-dual Blaschke bodies, we study the Lp-dual aff...Recently, the notion of general （containing symmetric and asymmetric） Lp-intersection bodies was given. In this article, by the Lp-dual mixed volumes and the general Lp-dual Blaschke bodies, we study the Lp-dual affine surface area forms of the Busemann-Petty problems for general Lp-intersection bodies. Our works belong to a new and rapidly evolving asymmetric Lp-Brtmn-Minkowski theory.展开更多
In the present work the geodesic equation represents the equations of motion of the particles along the geodesics is derived. The deviation of the curved space-time metric tensor from that of the Minkowski tensor is c...In the present work the geodesic equation represents the equations of motion of the particles along the geodesics is derived. The deviation of the curved space-time metric tensor from that of the Minkowski tensor is considered as a perturbation. The quantities is expanded in powers of c-2. The equations of motion of the relativistic three body problem in the PN formalism are obtained.展开更多
Under the theory structure of compressive sensing （CS）, an underdetermined equation is deduced for describing the discrete solution of the electromagnetic integral equation of body of revolution （BOR）, which will ...Under the theory structure of compressive sensing （CS）, an underdetermined equation is deduced for describing the discrete solution of the electromagnetic integral equation of body of revolution （BOR）, which will result in a small-scale impedance matrix. In the new linear equation system, the small-scale impedance matrix can be regarded as the measurement matrix in CS, while the excited vector is the measurement of unknown currents. Instead of solving dense full rank matrix equations by the iterative method, with suitable sparse representation, for unknown currents on the surface of BOR, the entire current can be accurately obtained by reconstructed algorithms in CS for small-scale undetermined equations. Numerical results show that the proposed method can greatly improve the computgtional efficiency and can decrease memory consumed.展开更多
Under the necessary conditions for a double pyramidal central configuration with a diamond base to exist in the real number space, the existence and uniqueness of such configurations were studied by employing combined...Under the necessary conditions for a double pyramidal central configuration with a diamond base to exist in the real number space, the existence and uniqueness of such configurations were studied by employing combinedly the algebraic method and numerical calculation. It is found that there exists a planar curl triangle region G in a square Q such that any point in G and given by the ratio of the two diagonal lengths of the diamond base and the ratio of one diagonal length of the base to the height of the double pyramid configuration determines a unique double pyramid central configuration, while all points in Q-G have no referance to any central configuration.展开更多
We have studied periodic orbits generated by Lagrangian solutions of the restricted three-body problem when both the primaries are triaxial rigid bodies and source of radiation pressure. We have determined periodic or...We have studied periodic orbits generated by Lagrangian solutions of the restricted three-body problem when both the primaries are triaxial rigid bodies and source of radiation pressure. We have determined periodic orbits for different values of (h is energy constant;μ is mass ratio of the two primaries;are parameters of triaxial rigid bodies and are radiation parameters). These orbits have been determined by giving displacements along the tangent and normal at the mobile co-ordinates as defined in our papers (Mittal et al. [1]-[3]). These orbits have been drawn by using the predictor-corrector method. We have also studied the effect of triaxial bodies and source of radiation pressure on the periodic orbits by taking fixed value of μ.展开更多
In this paper, we develop a Fourier analytic approach to study the problem in the Brunn-Minkowski-Firey theory of convex bodies. We formulate and solve a quasi-Shephard＇s problem on projections of convex bodies.
In this paper, combining with the L_p-dual geominimal surface area and the general L_p-centroid bodies, we research the Shephard type problems for general L_p-centroid bodies.
In this paper, the equations of motion for spatial restricted circular three body problem will be established using the cylindrical coordinates. Initial value procedure that can be used to compute both the cylindrical...In this paper, the equations of motion for spatial restricted circular three body problem will be established using the cylindrical coordinates. Initial value procedure that can be used to compute both the cylindrical and Cartesian coordinates and velocities is also developed.展开更多
For p > 0, Lutwak, Yang and Zhang introduced the concept of L_p-polar projection body Γ_(-p)K of a convex body K in Rn. Let p ≥ 1 and K, L ? Rnbe two origin-symmetric convex bodies, we consider the question of wh...For p > 0, Lutwak, Yang and Zhang introduced the concept of L_p-polar projection body Γ_(-p)K of a convex body K in Rn. Let p ≥ 1 and K, L ? Rnbe two origin-symmetric convex bodies, we consider the question of whether Γ_(-p) K ? Γ_(-p) L implies ?_p(L) ≤ ?_p(K),where ?_p(K) denotes the L_p-affine surface area of K and K = Voln(K)^(-1/p) K. We prove a necessary and sufficient condition of an analog of the Shephard problem for the L_p-polar projection bodies.展开更多
In this paper of the series, the equations of motion for the spatial circular restricted three-body problem in sidereal spherical coordinates system were established. Initial value procedure that can be used to comput...In this paper of the series, the equations of motion for the spatial circular restricted three-body problem in sidereal spherical coordinates system were established. Initial value procedure that can be used to compute both the spherical and Cartesian sidereal coordinates and velocities was also developed. The application of the procedure was illustrated by numerical example and graphical representations of the variations of the two sidereal coordinate systems.展开更多
基金supported by the National Natural Science Foundation of China(No.71974162 and No.7231101009).
文摘Objectives This study aimed to develop and preliminarily assess the quality of a Mindfulness Breast Care(MBC)App to reduce body image distress and stigma among breast cancer survivors(BCSs).Methods The development process of the MBC App involved:1)establishing a research group;2)determining of the content of the MBC App based on Mindfulness-Based Cognitive Therapy and 3)technical exploitation and maintenance.A mixed-methods study was conducted.We selected ten BCSs by a convenience sampling method.After using the APP for three months,five assessed the quality using the Mobile App Rating Scale:User Version(uMARS)and another five were interviewed for process evaluation.Results The MBC App was developed with three modules:1)Library to provide health education information on body image,stigma,mindfulness,recovery and etc;2)Mindfulness Yoga to offer 12 Hatha yoga videos for daily practice;and 3)Mindfulness Practices to have 12 sessions of mindfulness videoconferences.Based on the uMARS data,the MBC App received high ratings for functionality(4.10±0.34),aesthetics(3.93±0.55),information quality(4.10±0.72),and perceived impact(4.03±0.96),as well as moderate ratings for engagement(3.72±0.94)and subjective quality(3.87±0.77).Participants indicated that the MBC App provided reliable knowledge,information,and emotional support.Recommendations from participants included categorizing knowledge in the Library Module,recording videoconferences of mindfulness practice,and adding discussion sessions in the videoconference.Afterward,we optimized the MBC App to enhance the user experience accordingly.Conclusions The MBC App offers online mindfulness interventions specifically for BCSs in China.The preliminary quality assessment indicates that the MBC App may be a promising tool for delivering mindfulness interventions to BCSs.
文摘This article explores the intersection of the Eight-Circuit Model of Consciousness (ECM), initially conceptualized by Timothy Leary and expanded by Robert Anton Wilson, and its implications for mind-body health. By analyzing each circuit’s role in human consciousness, we discuss how activating and balancing these circuits can lead to enhanced psychological well-being, stress reduction, and overall physical health. Recent research is integrated to provide a contemporary understanding of how the ECM can be applied to modern mind-body therapies, with a focus on both theoretical implications and practical applications.
文摘Recently we proposed “quantum language”, which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes = Kant epistemology. And further we believe that quantum language is the only scientifically successful theory in dualistic idealism. If this turn is regarded as progress in the history of western philosophy (i.e., if “philosophical progress” is defined by “approaching to quantum language”), we should study the linguistic mind-body problem more than the epistemological mind-body problem. In this paper, we show that to solve the mind-body problem and to propose “measurement axiom” in quantum language are equivalent. Since our approach is always within dualistic idealism, we believe that our linguistic answer is the only true solution to the mind-body problem.
基金supported by the National Natural Science Foundation of China(No.52175284)the National Key Research and Development Program of China(Grant No.2022YFB3404201).
文摘This study investigates the formation feasibility of the integrated bottom car body components with dual die casting injection molding technology.During the production of a die-cast super-large one-piece body part weighing over 10,000 t,a thorough comparison and investigation were conducted on the arising issues,using both single and double injection systems.Particular attention was given to meticulously discussing the die casting filling problems and microstructural defects that originated from the filling process.The research findings indicate that the implementation of a double injection system can significantly minimize cold shuts and reduce the solidification time.The effectiveness of this die casting technique was further confirmed by the production of high-quality castings using a scaled model that replicated real casting conditions at a 1:3 ratio,thereby maintaining a one-to-one correspondence in essential aspects.This successful study offers both theoretical insights and practical applications for the production of integrated bottom car bodies utilizing die casting in conjunction with a dual injection system.
基金supported by a major project of the National Social Science Fund of China,‘Contemporary Approaches to Personal Identity’(grant no.18ZDA029)
文摘In the interpretation of the body in the 20th century, philosophy placed less emphasis than before on its natural composition and sought to integrate value judgements from different perspectives. The philosophy of the body addresses the deepest essential problems of human society and culture, it generates a uniquely detailed analysis of human nature and its various roles and performances in social operations, and it reveals contemporary society's operating mechanisms and deep internal contradictions. Accordingly, philosophy no longer gives the mind any priority or superiority in terms of cognition, and the focus of research has moved away from pure consciousness and towards the body. Contemporary philosophical exploration of the body covers both the concept of belongingness and the feasibility of bodily freedom. It not only foregrounds the impossibility of viewing the body and the mind as separate entities but also leads us to examine the connections between humans and the world, taking meaning, reason and the body as their basis. This paper explores the connections between body and thought in modern philosophy, traces the development of philosophy's increasing concern with the body, elucidates the main contributions of representative figures in the field of philosophy of the body, and analyses the methodological significance and influence of the philosophy of the body as a contemporary philosophical trend.
文摘Our Solar System contains eight planets and their respective natural satellites excepting the inner two planets Mercury and Venus. A satellite hosted by a given Planet is well protected by the gravitational pertubation of much heavier planets such as Jupiter and Saturn if the natural satellite lies deep inside the respective host Planet Hill sphere. Each planet has a Hill radius a<sub>H</sub> and planet mean radius R<sub>P </sub>and the ratio R<sub>1</sub>=R<sub>P</sub>/a<sub>H</sub>. Under very low R<sub>1 </sub>(less than 0.006) the approximation of CRTBP (centrally restricted three-body problem) to two-body problem is valid and planet has spacious Hill lobe to capture a satellite and retain it. This ensures a high probability of capture of natural satellite by the given planet and Sun’s perturbation on Planet-Satellite binary can be neglected. This is the case with Earth, Mars, Jupiter, Saturn, Neptune and Uranus. But Mercury and Venus has R<sub>1</sub>=R<sub>P</sub>/a<sub>H</sub> =0.01 and 5.9862 × 10<sup>-3</sup> respectively hence they have no satellites. There is a limit to the dimension of the captured body. It must be a much smaller body both dimensionally as well masswise. The qantitative limit is a subject of an independent study.
文摘翻译与修辞是两个相互独立的语言研究领域,却在理论与实践运行上存在理念和方法的重叠,翻译修辞学随之诞生。该学科作为翻译研究的分支学科,是一门新生学科,其研究仍处于初步摸索阶段。运用翻译修辞学指导具体实践不仅能够改善译文水平,还能反哺理论的发展。该文运用修辞学家哈里克提出的4种象征资源,探究中国科幻巨作《三体》系列第一部及其英译本The Three Body Problem中所运用的英译策略及其效果。研究发现,《三体》英译本积极运用了4种修辞策略,建立起译本认同,促进了作品的海外传播。可见,科幻作品英译过程中,合理运用修辞策略指导翻译能加强译本目标语群体的认同构建,有利于中国科幻作品“走出去”,传播中国文化。
文摘A mechanics system consisting of three mass points on sphere S 2 is considered. The configuration space of the system is a fibre bundle over S 2 . It is proved that first Chern class of the bundle is -2 c 1(γ) where γ is the canonical line bundle over the complex projective space CP 1=S 2 , which shows the bundle is non trivial. The information about the first Chern class makes the cohomology groups and homotopy groups of the configuration space worked out. In addition the effects of these topolo gical properties of the configuration space on the behavior in large scale of the system, as the number of equilibrium positions, periodic orbits and reduced phase space, are discussed.
基金The project supported by the National Natural Science Foundation of China(10672084 and 10672084)The Special Science Foundation of the Doctoral Discipline of the Minstry of Education of China(20060003097)
文摘Reconfiguration of formation flying around a halo orbit of the Sun-Earth restricted three body system is investigated with impulse maneuvers. For a short time reconfiguration, the two-impulse maneuver is investigated with both analytical and numerical methods and the Beginning-Ending （BE） method is proven to be an energy-optimal one of all two-impulse （TI） reconfigurations, and the energy consumption of BE is independent of the position of the chief spacecraft, and decreases with the reconfiguration time. Then, genetic algorithm is adopted to optimize the energy consumption. The results show that the optimal energy increases with radius difference between the initial and final orbits, and decreases with the reconfiguration time.
基金Supported by the National Natural Science Foundation of China(11371224)
文摘Recently, the notion of general （containing symmetric and asymmetric） Lp-intersection bodies was given. In this article, by the Lp-dual mixed volumes and the general Lp-dual Blaschke bodies, we study the Lp-dual affine surface area forms of the Busemann-Petty problems for general Lp-intersection bodies. Our works belong to a new and rapidly evolving asymmetric Lp-Brtmn-Minkowski theory.
文摘In the present work the geodesic equation represents the equations of motion of the particles along the geodesics is derived. The deviation of the curved space-time metric tensor from that of the Minkowski tensor is considered as a perturbation. The quantities is expanded in powers of c-2. The equations of motion of the relativistic three body problem in the PN formalism are obtained.
基金Supported by the National Natural Science Foundation of China under Grant Nos 51477039 and 51207041the Program of Hefei Normal University under Grant Nos 2014136KJA04 and 2015TD01the Key Project of Provincial Natural Science Research of University of Anhui Province of China under Grant No KJ2015A174
文摘Under the theory structure of compressive sensing （CS）, an underdetermined equation is deduced for describing the discrete solution of the electromagnetic integral equation of body of revolution （BOR）, which will result in a small-scale impedance matrix. In the new linear equation system, the small-scale impedance matrix can be regarded as the measurement matrix in CS, while the excited vector is the measurement of unknown currents. Instead of solving dense full rank matrix equations by the iterative method, with suitable sparse representation, for unknown currents on the surface of BOR, the entire current can be accurately obtained by reconstructed algorithms in CS for small-scale undetermined equations. Numerical results show that the proposed method can greatly improve the computgtional efficiency and can decrease memory consumed.
文摘Under the necessary conditions for a double pyramidal central configuration with a diamond base to exist in the real number space, the existence and uniqueness of such configurations were studied by employing combinedly the algebraic method and numerical calculation. It is found that there exists a planar curl triangle region G in a square Q such that any point in G and given by the ratio of the two diagonal lengths of the diamond base and the ratio of one diagonal length of the base to the height of the double pyramid configuration determines a unique double pyramid central configuration, while all points in Q-G have no referance to any central configuration.
文摘We have studied periodic orbits generated by Lagrangian solutions of the restricted three-body problem when both the primaries are triaxial rigid bodies and source of radiation pressure. We have determined periodic orbits for different values of (h is energy constant;μ is mass ratio of the two primaries;are parameters of triaxial rigid bodies and are radiation parameters). These orbits have been determined by giving displacements along the tangent and normal at the mobile co-ordinates as defined in our papers (Mittal et al. [1]-[3]). These orbits have been drawn by using the predictor-corrector method. We have also studied the effect of triaxial bodies and source of radiation pressure on the periodic orbits by taking fixed value of μ.
基金Supported by the National Natural Science Foundation of China(11161019,11371224)
文摘In this paper, we develop a Fourier analytic approach to study the problem in the Brunn-Minkowski-Firey theory of convex bodies. We formulate and solve a quasi-Shephard＇s problem on projections of convex bodies.
文摘In this paper, combining with the L_p-dual geominimal surface area and the general L_p-centroid bodies, we research the Shephard type problems for general L_p-centroid bodies.
文摘In this paper, the equations of motion for spatial restricted circular three body problem will be established using the cylindrical coordinates. Initial value procedure that can be used to compute both the cylindrical and Cartesian coordinates and velocities is also developed.
基金Supported by the National Natural Science Foundation of China(11561020,11371224)Supported by the Science and Technology Plan of the Gansu Province(145RJZG227)
文摘For p > 0, Lutwak, Yang and Zhang introduced the concept of L_p-polar projection body Γ_(-p)K of a convex body K in Rn. Let p ≥ 1 and K, L ? Rnbe two origin-symmetric convex bodies, we consider the question of whether Γ_(-p) K ? Γ_(-p) L implies ?_p(L) ≤ ?_p(K),where ?_p(K) denotes the L_p-affine surface area of K and K = Voln(K)^(-1/p) K. We prove a necessary and sufficient condition of an analog of the Shephard problem for the L_p-polar projection bodies.
文摘In this paper of the series, the equations of motion for the spatial circular restricted three-body problem in sidereal spherical coordinates system were established. Initial value procedure that can be used to compute both the spherical and Cartesian sidereal coordinates and velocities was also developed. The application of the procedure was illustrated by numerical example and graphical representations of the variations of the two sidereal coordinate systems.
