Pub Date : 2024-10-06DOI: 10.1134/S1063772924700598
M. K. Abubekerov, N. Yu. Gostev
Using a high-precision algorithm for interpreting transit light curves in a model of a classical eclipsing binary star-exoplanet system, we studied the possibility of determining the system parameters in the absence of a priori knowledge of the orbital eccentricity. It was shown that it is impossible to determine the exact value of the eccentricity and periastron longitude based on the main minimum of the transit light curve alone. Also, at an observational accuracy of ~1% of the eclipse depth, the uncertainty in the eccentricity and periastron longitude together causes a significant uncertainty in the values of the component radii (a two-threefold error relative to the true values) and the orbital inclination angle. However, the ratios of the system component radii and the limb darkening coefficients are determined with good accuracy. At an increase in the observational accuracy to 0.1% of the eclipse depth, it becomes possible to determine the component radii and the orbital inclination angle when interpreting the light curve with allowance for the eccentricity.
{"title":"Interpretation of the Transit Light Curve in the Presence of Principal Main Minimum with Allowance for the Eccentricity of the Transit (Planet) Orbit","authors":"M. K. Abubekerov, N. Yu. Gostev","doi":"10.1134/S1063772924700598","DOIUrl":"10.1134/S1063772924700598","url":null,"abstract":"<p>Using a high-precision algorithm for interpreting transit light curves in a model of a classical eclipsing binary star-exoplanet system, we studied the possibility of determining the system parameters in the absence of a priori knowledge of the orbital eccentricity. It was shown that it is impossible to determine the exact value of the eccentricity and periastron longitude based on the main minimum of the transit light curve alone. Also, at an observational accuracy of ~1% of the eclipse depth, the uncertainty in the eccentricity and periastron longitude together causes a significant uncertainty in the values of the component radii (a two-threefold error relative to the true values) and the orbital inclination angle. However, the ratios of the system component radii and the limb darkening coefficients are determined with good accuracy. At an increase in the observational accuracy to 0.1% of the eclipse depth, it becomes possible to determine the component radii and the orbital inclination angle when interpreting the light curve with allowance for the eccentricity.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"68 7","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-10-06DOI: 10.1134/S1063772924700604
L. A. Bolbasova, E. A. Kopylov, S. A. Potanin
For the Tashanta point, 49°43(' )4('' ) N, 89°11(' )31('' ) E, Gorny Altai, data from continuous measurements of astroclimatic parameters of the surface layer, monthly average values of the total cloud cover, suspended water vapor from the Era5 atmospheric reanalysis database, and primary measurements of the altitude distribution of turbulence are presented. The results show unique astroclimatic and operational conditions, which probably make it one of the best places in the Russian Federation for submillimeter and optical range observatories.
{"title":"Tashanta as a Promising Astronomical Site in the Altai Mountains Region in Russia: The First Results of the Astroclimate Study","authors":"L. A. Bolbasova, E. A. Kopylov, S. A. Potanin","doi":"10.1134/S1063772924700604","DOIUrl":"10.1134/S1063772924700604","url":null,"abstract":"<p>For the Tashanta point, 49°43<span>(' )</span>4<span>('' )</span> N, 89°11<span>(' )</span>31<span>('' )</span> E, Gorny Altai, data from continuous measurements of astroclimatic parameters of the surface layer, monthly average values of the total cloud cover, suspended water vapor from the Era5 atmospheric reanalysis database, and primary measurements of the altitude distribution of turbulence are presented. The results show unique astroclimatic and operational conditions, which probably make it one of the best places in the Russian Federation for submillimeter and optical range observatories.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"68 7","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-10-06DOI: 10.1134/S1063772924700574
A. Chakraborty, A. Narayan
The frame work of this study is the bi-elliptic restricted four body problem, where the largest primary ({{m}_{1}}) is assumed to be a radiating body and the other two massive bodies ({{m}_{2}}) and ({{m}_{3}}) are assumed to be oblate spheroids. The problem is restricted in the sense that the fourth body is assumed to be of infinitesimal mass. The goal of the paper is to study the so-called equilibrium points by generalizing R3BP to a non-coherent but highly practical R4BP model. The location of the planar equilibrium points according to this model is numerically studied for Sun–Earth–Moon system. The position of the triangular equilibrium points are also obtained analytically and graphically compared with numerically obtained values. Both the graphical and analytical studies confirms the high dependence of the position of the triangular equilibrium points on radiation pressure, however the collinear points were found to be less affected. The collinear points were found to be more affected by the oblateness of the second primary. The triangular equilibrium points were found to be stable for the third and fourth order resonance cases when the mass ratio is less than equal to a critical mass ratio. This critical mass ratio is also found to be dependent on the radiation pressure and phase angle ({{theta }_{0}}). The transition curve in the ((mu - {{epsilon }_{2}})) plane is plotted to find the value of ({{epsilon }_{2}}) for which the motion near triangular equilibrium points become unstable.
{"title":"Stability of Triangular Equilibrium Points in BiER4BP under the Radiation and Oblateness Effect of Primaries Applied for Sun–Earth–Moon System","authors":"A. Chakraborty, A. Narayan","doi":"10.1134/S1063772924700574","DOIUrl":"10.1134/S1063772924700574","url":null,"abstract":"<p>The frame work of this study is the bi-elliptic restricted four body problem, where the largest primary <span>({{m}_{1}})</span> is assumed to be a radiating body and the other two massive bodies <span>({{m}_{2}})</span> and <span>({{m}_{3}})</span> are assumed to be oblate spheroids. The problem is restricted in the sense that the fourth body is assumed to be of infinitesimal mass. The goal of the paper is to study the so-called equilibrium points by generalizing R3BP to a non-coherent but highly practical R4BP model. The location of the planar equilibrium points according to this model is numerically studied for Sun–Earth–Moon system. The position of the triangular equilibrium points are also obtained analytically and graphically compared with numerically obtained values. Both the graphical and analytical studies confirms the high dependence of the position of the triangular equilibrium points on radiation pressure, however the collinear points were found to be less affected. The collinear points were found to be more affected by the oblateness of the second primary. The triangular equilibrium points were found to be stable for the third and fourth order resonance cases when the mass ratio is less than equal to a critical mass ratio. This critical mass ratio is also found to be dependent on the radiation pressure and phase angle <span>({{theta }_{0}})</span>. The transition curve in the (<span>(mu - {{epsilon }_{2}})</span>) plane is plotted to find the value of <span>({{epsilon }_{2}})</span> for which the motion near triangular equilibrium points become unstable.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"68 7","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-10-06DOI: 10.1134/S1063772924700653
V. R. Lukmanov, I. V. Chashei, S. A. Tyul’bashev, I. A. Subaev
The results of the analysis of observational data of interplanetary scintillations obtained at the Big Synphasic Antenna radio telescope of the Lebedev Physical Institute (BSA LPI) before, during and after the magnetic storm that occurred on December 1–2, 2023. Observational data were compared with model calculations for corotating and propagating large-scale disturbances. The results of observations of scintillations of radio sources indicate that the magnetic storm that took place was caused by the superposition of two types of large-scale disturbances of the solar wind. On the day before the start of the magnetic storm, signs of interaction of the Earth’s magnetosphere with the corotating region of multi-velocity solar wind flows were observed, whereas later signs of disturbance of the magnetosphere by a coronal mass ejection propagating after the M9.8 flare on November 28, 2023 were observed.
{"title":"Analysis of the Causes of the Magnetic Storm on December 1–2, 2023 Based on Observations of Interplanetary Scintillations at the BSA Radio Telescope of the Lebedev Physical Institute","authors":"V. R. Lukmanov, I. V. Chashei, S. A. Tyul’bashev, I. A. Subaev","doi":"10.1134/S1063772924700653","DOIUrl":"10.1134/S1063772924700653","url":null,"abstract":"<p>The results of the analysis of observational data of interplanetary scintillations obtained at the Big Synphasic Antenna radio telescope of the Lebedev Physical Institute (BSA LPI) before, during and after the magnetic storm that occurred on December 1–2, 2023. Observational data were compared with model calculations for corotating and propagating large-scale disturbances. The results of observations of scintillations of radio sources indicate that the magnetic storm that took place was caused by the superposition of two types of large-scale disturbances of the solar wind. On the day before the start of the magnetic storm, signs of interaction of the Earth’s magnetosphere with the corotating region of multi-velocity solar wind flows were observed, whereas later signs of disturbance of the magnetosphere by a coronal mass ejection propagating after the M9.8 flare on November 28, 2023 were observed.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"68 7","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S1063772924700653.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-10-06DOI: 10.1134/S1063772924700641
E. D. Kuznetsov, Yu. Z. Wiebe, D. V. Glamazda, G. T. Kaiser, V. V. Krushinsky, M. S. Kryuchkov, S. A. Naroenkov, A. S. Perminov
Positional and multicolor photometric observations of near-Earth asteroids were carried out using the SBG telescope of the Kourovka Astronomical Observatory of Ural Federal University and the Zeiss-1000 telescope of the Simeiz Observatory of INASAN in 2022–2023. Based on the results of positional observations with the SBG telescope, improved orbital elements were obtained for seven asteroids. The periods of axial rotation of seven asteroids were estimated from photometric observations. Based on the results of photometric observations in the B, V, R, I filters, color indices were obtained for six asteroids.
{"title":"Determination of the Dynamic and Physical Characteristics of Near-Earth Asteroids Based on the Results of Observations in 2022–2023","authors":"E. D. Kuznetsov, Yu. Z. Wiebe, D. V. Glamazda, G. T. Kaiser, V. V. Krushinsky, M. S. Kryuchkov, S. A. Naroenkov, A. S. Perminov","doi":"10.1134/S1063772924700641","DOIUrl":"10.1134/S1063772924700641","url":null,"abstract":"<p>Positional and multicolor photometric observations of near-Earth asteroids were carried out using the SBG telescope of the Kourovka Astronomical Observatory of Ural Federal University and the Zeiss-1000 telescope of the Simeiz Observatory of INASAN in 2022–2023. Based on the results of positional observations with the SBG telescope, improved orbital elements were obtained for seven asteroids. The periods of axial rotation of seven asteroids were estimated from photometric observations. Based on the results of photometric observations in the <i>B</i>, <i>V</i>, <i>R</i>, <i>I</i> filters, color indices were obtained for six asteroids.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"68 7","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-10-06DOI: 10.1134/S1063772924700665
I. F. Malov
The analysis of parameters of radio pulsars with periods (P > 5) s has been carried out. It was found that there is no clear dependence of (dP{text{/}}dt) on (P) on the ({ dP{text{/}}dt,P} ) diagram. The lack of dependence can be explained within the disk model. It is shown that the pulse width decreases with increasing period for the sample considered. It is the opposite of the dependence in the generally accepted pulsar model. It indicates that the distance from the surface of the neutron star to the radio emission generation region in the studied population depends on the period or that the magnetic field in the generation region has a non-dipolar structure. The possibility of explaining the longest intervals between successive pulses in pulsars J0901–4046 and J0250+5854 by the influence of drift waves at the periphery of the magnetosphere has been considered. Within the framework of the drift model, the calculated rotation periods in these pulsars turn out to be several times shorter than the observed intervals between successive pulses.
{"title":"Peculiarities of Radio Pulsars with Long Periods","authors":"I. F. Malov","doi":"10.1134/S1063772924700665","DOIUrl":"10.1134/S1063772924700665","url":null,"abstract":"<p>The analysis of parameters of radio pulsars with periods <span>(P > 5)</span> s has been carried out. It was found that there is no clear dependence of <span>(dP{text{/}}dt)</span> on <span>(P)</span> on the <span>({ dP{text{/}}dt,P} )</span> diagram. The lack of dependence can be explained within the disk model. It is shown that the pulse width decreases with increasing period for the sample considered. It is the opposite of the dependence in the generally accepted pulsar model. It indicates that the distance from the surface of the neutron star to the radio emission generation region in the studied population depends on the period or that the magnetic field in the generation region has a non-dipolar structure. The possibility of explaining the longest intervals between successive pulses in pulsars J0901–4046 and J0250+5854 by the influence of drift waves at the periphery of the magnetosphere has been considered. Within the framework of the drift model, the calculated rotation periods in these pulsars turn out to be several times shorter than the observed intervals between successive pulses.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"68 7","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S1063772924700665.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-10-06DOI: 10.1134/S1063772924700677
R. V. Tkachenko, A. P. Bryndina, A. B. Zhmailova, V. I. Korchagin
The rotation of the Milky Way halo in the solar vicinity is studied using kinematic data of the GAIA DR3 catalog for RR Lyrae variable stars with parallax errors of less than 20%. Two criteria were used for selecting halo stars: kinematic and spatial. In both approaches, we confirm the existence of weak rotation of the halo in the direction opposite to the rotation of the Galactic disk with velocities of (4.08 pm 2.19) km/s for the kinematic criterion and (9.49 pm 2.59) km/s for the spatial criterion.
{"title":"Rotation of the Milky Way Halo in the Solar Vicinity Based on GAIA DR3 Catalog","authors":"R. V. Tkachenko, A. P. Bryndina, A. B. Zhmailova, V. I. Korchagin","doi":"10.1134/S1063772924700677","DOIUrl":"10.1134/S1063772924700677","url":null,"abstract":"<p>The rotation of the Milky Way halo in the solar vicinity is studied using kinematic data of the GAIA DR3 catalog for RR Lyrae variable stars with parallax errors of less than 20%. Two criteria were used for selecting halo stars: kinematic and spatial. In both approaches, we confirm the existence of weak rotation of the halo in the direction opposite to the rotation of the Galactic disk with velocities of <span>(4.08 pm 2.19)</span> km/s for the kinematic criterion and <span>(9.49 pm 2.59)</span> km/s for the spatial criterion.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"68 7","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S1063772924700677.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410330","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-10-06DOI: 10.1134/S1063772924700628
B. P. Kondratyev
The problem of equilibrium figures of two liquid masses in a state of tidal mutual capture is posed and solved. The condition of complete synchronous (orbital plus spin) rotation is satisfied in the system, and both bodies have the same masses and congruent ellipsoidal surfaces. For each figure, besides its own gravity and centrifugal forces, the attraction from the second body is taken into account in the tidal approximation. The spatial form of equilibrium figures as triaxial ellipsoids is found by an analytical and numerical method. The spin rotation of ellipsoidal equilibrium figures is established to occur not around small axes, as is usually assumed, but around the middle axes of the ellipsoids. This method is used to study the binary asteroid (190166) 2005 UP156, which approximately satisfies the initial conditions of the problem. The study showed that with the parameters known today, the system of two asteroids (190166) 2005 UP156 is nonequilibrium.
{"title":"Equilibrium Figures of Two Liquid Masses with Synchronous Rotation. Dynamics of Double Asteroid (190166) 2005 UP156","authors":"B. P. Kondratyev","doi":"10.1134/S1063772924700628","DOIUrl":"10.1134/S1063772924700628","url":null,"abstract":"<p>The problem of equilibrium figures of two liquid masses in a state of tidal mutual capture is posed and solved. The condition of complete synchronous (orbital plus spin) rotation is satisfied in the system, and both bodies have the same masses and congruent ellipsoidal surfaces. For each figure, besides its own gravity and centrifugal forces, the attraction from the second body is taken into account in the tidal approximation. The spatial form of equilibrium figures as triaxial ellipsoids is found by an analytical and numerical method. The spin rotation of ellipsoidal equilibrium figures is established to occur not around small axes, as is usually assumed, but around the middle axes of the ellipsoids. This method is used to study the binary asteroid (190166) 2005 UP156, which approximately satisfies the initial conditions of the problem. The study showed that with the parameters known today, the system of two asteroids (190166) 2005 UP156 is nonequilibrium.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"68 7","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S1063772924700628.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-10-06DOI: 10.1134/S1063772924700586
Krishan Pal, Amit Mittal, Rajiv Aggarwal
This manuscript illustrates the existence, locations, and stability of equilibrium points under the effect of Stokes drag in the restricted four-body problem (R4BP) with variable mass when all the primaries are source of radiation. The motion of the fourth body of negligible mass (infinitesimal mass) is effected by the motion of the primaries, and its motion is perturbed by the radiation pressure and Stokes drag. All the primaries are established at the vertices of an equilateral triangle and known as Lagrangian configuration. The dynamics of an infinitesimal body has been studied under the influences of radiation pressure of all the primaries with Stokes drag and variable mass. Jeans’ law and space time transformations of Meshcherskii have been used to formulate the equations of motion of the infinitesimal body. We have numerically investigated the existence and locations of the equilibrium points in the theoretical ranges of the parameters. The numerical investigations delved that all the equilibrium points are non-collinear, the collinear equilibrium points do not exist due to the presence of Stokes drag. Further, we have observed that all the equilibrium points are unstable for all values of the parameters considered. Moreover, the regions of motion have been drawn for different values of the parameters, i.e., for the radiation parameters ({{q}_{i}} (0 < {{q}_{i}} < 1),)(i = 1,2,3), the proportionality constant (alpha (0 < alpha leqslant 2.2)) occurs due to Jeans’ law, the mass parameter (mu (0 < mu leqslant 1{text{/}}3)), and for the dissipative constant (k (0 < k < 1)). This model has novelty in the sense that we have studied this problem first time by combining the concept of Stokes drag in the restricted four-body problem, considering all primaries as the source of radiation and the fourth body having variable mass. This paper is applicable in various di-sciplines of celestial mechanics as space mission planning, satellite dynamics, and fundamental astrodynamics research. Finally, we have justified the importance of our model by applying it to an appropriate stellar system.
本手稿说明了在质量可变的受限四体问题(R4BP)中,当所有基体都是辐射源时,平衡点在斯托克斯阻力作用下的存在、位置和稳定性。质量可忽略不计(质量无限小)的第四体的运动受主体运动的影响,其运动受辐射压力和斯托克斯阻力的扰动。所有基体都位于等边三角形的顶点,称为拉格朗日构型。在带有斯托克斯阻力和可变质量的所有基元的辐射压力的影响下,研究了无穷小体的动力学。Jeans' law 和 Meshcherskii 的时空变换被用来制定无穷小体的运动方程。我们对理论参数范围内平衡点的存在和位置进行了数值研究。数值研究发现,所有的平衡点都是非共线的,由于斯托克斯阻力的存在,共线平衡点并不存在。此外,我们还观察到,在考虑的所有参数值下,所有平衡点都是不稳定的。此外,我们还绘制了不同参数值下的运动区域,即辐射参数 ({{q}_{i}}(0 < {{q}_{i}} < 1),)(i=1,2,3),比例常数(alpha (0 < alpha leqslant 2.2)),质量参数(mu (0 < mu leqslant 1{/text{/}}3)),以及耗散常数(k (0 < k < 1))。这个模型的新颖之处在于,我们首次将斯托克斯阻力的概念结合到受限四体问题中进行了研究,将所有原初体视为辐射源,第四体质量可变。本文适用于天体力学的多个学科,如太空任务规划、卫星动力学和基础天体动力学研究。最后,我们将模型应用于一个适当的恒星系统,从而证明了模型的重要性。
{"title":"Study of Stokes Drag and Radiation Pressure in the Restricted Four-Body Problem with Variable Mass","authors":"Krishan Pal, Amit Mittal, Rajiv Aggarwal","doi":"10.1134/S1063772924700586","DOIUrl":"10.1134/S1063772924700586","url":null,"abstract":"<p>This manuscript illustrates the existence, locations, and stability of equilibrium points under the effect of Stokes drag in the restricted four-body problem (R4BP) with variable mass when all the primaries are source of radiation. The motion of the fourth body of negligible mass (infinitesimal mass) is effected by the motion of the primaries, and its motion is perturbed by the radiation pressure and Stokes drag. All the primaries are established at the vertices of an equilateral triangle and known as Lagrangian configuration. The dynamics of an infinitesimal body has been studied under the influences of radiation pressure of all the primaries with Stokes drag and variable mass. Jeans’ law and space time transformations of Meshcherskii have been used to formulate the equations of motion of the infinitesimal body. We have numerically investigated the existence and locations of the equilibrium points in the theoretical ranges of the parameters. The numerical investigations delved that all the equilibrium points are non-collinear, the collinear equilibrium points do not exist due to the presence of Stokes drag. Further, we have observed that all the equilibrium points are unstable for all values of the parameters considered. Moreover, the regions of motion have been drawn for different values of the parameters, i.e., for the radiation parameters <span>({{q}_{i}} (0 < {{q}_{i}} < 1),)</span> <span>(i = 1,2,3)</span>, the proportionality constant <span>(alpha (0 < alpha leqslant 2.2))</span> occurs due to Jeans’ law, the mass parameter <span>(mu (0 < mu leqslant 1{text{/}}3))</span>, and for the dissipative constant <span>(k (0 < k < 1))</span>. This model has novelty in the sense that we have studied this problem first time by combining the concept of Stokes drag in the restricted four-body problem, considering all primaries as the source of radiation and the fourth body having variable mass. This paper is applicable in various di-sciplines of celestial mechanics as space mission planning, satellite dynamics, and fundamental astrodynamics research. Finally, we have justified the importance of our model by applying it to an appropriate stellar system.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"68 7","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410296","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-29DOI: 10.1134/S1063772924700537
A. G. Rudnitskiy, M. A. Shchurov, S. V. Chernov
The paper examines the possibilities of using multi-frequency synthesis methods for very long baseline (VLBI) space radio interferometers to improve the ((u,{v})) coverage and the quality of the resulting synthesized images. To evaluate the contribution of multi-frequency synthesis methods, simulations of VLBI observations were performed using the example of the space VLBI concept that is based on a combination of circular near-Earth orbits.
{"title":"Multi-frequency Synthesis in Space Very Long Baseline Radio Interferometry","authors":"A. G. Rudnitskiy, M. A. Shchurov, S. V. Chernov","doi":"10.1134/S1063772924700537","DOIUrl":"10.1134/S1063772924700537","url":null,"abstract":"<p>The paper examines the possibilities of using multi-frequency synthesis methods for very long baseline (VLBI) space radio interferometers to improve the <span>((u,{v}))</span> coverage and the quality of the resulting synthesized images. To evaluate the contribution of multi-frequency synthesis methods, simulations of VLBI observations were performed using the example of the space VLBI concept that is based on a combination of circular near-Earth orbits.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"68 6","pages":"576 - 582"},"PeriodicalIF":1.1,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142219984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}