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Global response of low and mid-latitude ionosphere to the severe geomagnetic storm of April 2023 低中纬度电离层对2023年4月强地磁风暴的全球响应
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-03-11 DOI: 10.1007/s12036-026-10135-6
Viswanathan Lakshmi Narayanan

The response of topside ionosphere over low and midlatitudes to the severe geomagnetic storm of 23–24 April 2023 are studied using in-situ plasma measurements made by the Swarm satellite constellation at altitudes of 470 and 510 km. The local time coverage during the period was on dawn and dusk sectors. The geomagnetic storm is a two-step storm reaching a minimum SYM-H index magnitude of −233 nT. Observations reveal positive ionospheric storm with plasma density enhancements during sunlit periods of the main phase of the geomagnetic storm. This enhancement is significant over the Southern hemisphere. A clear increase in the equatorial electric field due to prompt penetration field is inferred through the increased separation of EIA crests and plasma density enhancements. This event showcased a longlasting prompt penetration electric field covering both the main phases. Interestingly, during the temporary recovery phase between the first and second main phases, the ionospheric observations are similar to those in the main phases with no indication of an overshielding electric field. During predawn hours of temporary recovery phase, a negative ionospheric storm is observed only over low latitudes. During the recovery phase, disturbed dynamo effects are also observed. However, for the first five hours in the early recovery phase, the effects were still similar to that of main phase. While the ring current recovery indicated by SYM-H indices took more than 36 hours, the disturbance dynamo effects were seen in the ionosphere only for about 11 hours, and the ionosphere was behaving similar to the quiet periods after 16 hours of start of the recovery phase. The observations are explained by means of undershielding prompt penetration electric fields during the main phases and development of disturbed dynamo effect well into the recovery phase.

利用Swarm卫星星座在470 km和510 km高度进行的等离子体原位测量,研究了2023年4月23-24日强地磁风暴对低纬度和中纬度地区上层电离层的响应。在此期间,当地时间为黎明和黄昏时段。地磁风暴是一个两步风暴,最小SYM-H指数为- 233 nT。观测显示,在地磁风暴主阶段的阳光照射期,电离层正风暴与等离子体密度增强有关。这种增强在南半球尤为明显。由于快速穿透场,赤道电场明显增加,这是通过增加EIA波峰的分离和等离子体密度增强来推断的。这一事件显示了一个持续时间较长的快速穿透电场,覆盖了两个主要阶段。有趣的是,在第一和第二主阶段之间的临时恢复阶段,电离层观测与主阶段的观测相似,没有迹象表明有过屏蔽电场。在临时恢复阶段的黎明前几小时,只在低纬度地区观测到负电离层风暴。在恢复阶段,扰动发电机效应也被观察到。然而,在早期恢复阶段的前5小时,效果仍然与主阶段相似。SYM-H指数显示的环电流恢复需要36小时以上,而电离层的扰动发电机效应仅持续约11小时,电离层在恢复阶段开始16小时后表现出与平静期相似的行为。主要阶段的下屏蔽提示穿透电场和扰动发电机效应在恢复阶段的发展解释了这些观测结果。
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引用次数: 0
A phenomenon of "asymptotic freedom" arises in Schwarzschild spacetime based on a special Lorentz violation model 基于一种特殊的洛伦兹违背模型,在史瓦西时空中出现了“渐近自由”现象
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-03-07 DOI: 10.1007/s12036-026-10130-x
Jinwen Hu

In our previous work, we proposed a special Lorentz violation model characterized by the fact that the maximum energy of a particle with mass is finite and proportional to its rest mass, rather than infinite as predicted by the Lorentz model. In this paper, we continue to investigate the impact of the Lorentz violation model on the curved spacetime. Firstly, we proposed a method to obtain the spacetime metric corresponding to this Lorentz violation model. Secondly, we used this new metric to analyze the proper acceleration of particles fixed in the Schwarzschild spacetime. To our surprise, we find that when the distance between particles and the event horizon of the Schwarzschild black hole is less than a certain distance, the smaller the distance, the smaller the proper acceleration, and the proper acceleration tends to 0 when the particle is fixed at the event horizon. By analogy with the quark model in particle physics, we can also call this phenomenon the "asymptotic freedom" in Schwarzschild spacetime, which shows us a different black hole.

在我们之前的工作中,我们提出了一个特殊的洛伦兹违反模型,其特征是具有质量的粒子的最大能量是有限的,并且与它的静止质量成正比,而不是像洛伦兹模型预测的那样是无限的。在本文中,我们继续研究洛伦兹违和模型对弯曲时空的影响。首先,我们提出了一种获取该洛伦兹违反模型对应的时空度规的方法。其次,我们使用这个新度量来分析固定在史瓦西时空中的粒子的固有加速度。令我们惊讶的是,我们发现当粒子与史瓦西黑洞视界的距离小于一定距离时,距离越小,固有加速度越小,当粒子固定在视界时,固有加速度趋于0。通过类比粒子物理学中的夸克模型,我们也可以将这种现象称为史瓦西时空中的“渐近自由”,它向我们展示了一个不同的黑洞。
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引用次数: 0
Study on the temperature and entropy of KSK black holes KSK黑洞的温度和熵的研究
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-25 DOI: 10.1007/s12036-026-10128-5
Huiying Wang, Menquan Liu

We consider the effects of Lorentz-breaking and dark energy by introducing both into the action of scalar and spinor field. Through the variational principle, we derive modified dynamic equations for bosons and fermions expressed in Hamilton-Jacobi-like forms. Focusing on a non-rotating KSK black hole surrounded by holographic quintessence, a configuration inspired by Kiselev and Kazakov-Solodukhin’s theoretical frameworks, we investigate the quantum tunneling rates of bosons and fermions at the event horizon of the black hole. The modified Hawking temperature and Bekenstein-Hawking entropy of this black hole are systematically examined. Our analysis reveals how dark energy parameters and Lorentz-violation coefficients influence the thermodynamic quantities, thereby enriching the understanding of black hole thermodynamics. This study provides new insights into the interplay between quantum effects, spacetime symmetry breaking, and dark energy in black hole physics.

我们通过将洛伦兹破缺和暗能量引入标量场和旋量场的作用来考虑二者的影响。通过变分原理,导出了以类哈密顿-雅可比形式表示的玻色子和费米子的修正动力学方程。基于Kiselev和Kazakov-Solodukhin的理论框架,我们研究了黑洞视界上玻色子和费米子的量子隧隧速率。系统地研究了该黑洞的修正霍金温度和贝肯斯坦-霍金熵。我们的分析揭示了暗能量参数和洛伦兹破坏系数对热力学量的影响,从而丰富了对黑洞热力学的理解。这项研究为黑洞物理中量子效应、时空对称性破缺和暗能量之间的相互作用提供了新的见解。
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引用次数: 0
Investigation of periodic resonant orbits in the binary stellar systems 双星系统周期共振轨道的研究
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-24 DOI: 10.1007/s12036-026-10129-4
Prashant Kumar, Dinesh Kumar, Akhileshwar Singh

Resonant periodic orbits are investigated in binary star systems with three bodies. Kepler-34, Kepler-35, Kepler-413, and Kepler-16 are chosËen and surface of sections of Poincaré (SSP) is utilized in this study. As the mass ratio decreases, the amplitude of the stability regions decreases and for smaller mass ratios, the structure of the phase plane differs significantly from that observed at higher mass ratios. Using the technique of SSP, locations of the resonant periodic orbits 9:7, 7:5, 3:2, 4:3, 5:3, 1:1, and 2:3 are explored. The starting point and path of the periodic orbits around the primary are analysed for different radiation force and Jacobi constant values. The radiation pressure of the bigger primary has no effect on the resonance order. The position of the periodic orbits, however, fluctuates and significant variations in the eccentricity are observed. The inclusion of the radiation force causes the periodic orbits of resonance 9:7, 7:5, 3:2, 4:3, 5:3, 1:1 and 2:3 around the larger primary to shift in the direction of the smaller primary. Periodic orbits are used to investigate tiny binary system bodies, such comets and asteroids, whose motion can be strongly influenced by solar radiation pressure.

研究了三体双星系统的共振周期轨道。Kepler-34、Kepler-35、Kepler-413和Kepler-16分别为chosËen,本研究利用的是poincar (SSP)剖面的表面。随着质量比的减小,稳定区的振幅减小,当质量比较小时,相平面的结构与高质量比时的结构明显不同。利用SSP技术,探索了9:7、7:5、3:2、4:3、5:3、1:1和2:3共振周期轨道的位置。在不同的辐射力和雅可比常数下,分析了绕原星周期轨道的起始点和轨迹。较大的初级辐射压力对共振阶数没有影响。然而,周期轨道的位置是波动的,并且可以观察到离心率的显著变化。辐射力的加入使得围绕较大的主星的共振周期轨道(9:7、7:5、3:2、4:3、5:3、1:1和2:3)向较小的主星方向偏移。周期轨道被用来研究微小的双星系统天体,如彗星和小行星,它们的运动受到太阳辐射压力的强烈影响。
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引用次数: 0
A comparative study of the geoeffectiveness of interplanetary features of DH-HCMEs and non-DH-HCMEs dh - hcme与非dh - hcme行星际特征地球有效性比较研究
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-23 DOI: 10.1007/s12036-026-10132-9
Suman Garia, Lalit Garia

Radiation and high-energy particles linked to solar activity around sunspots, including solar flares and coronal mass ejections (CMEs), can be harmful to living organisms. Major geomagnetic storms (GSs) might weaken the geomagnetic field, allowing energetic particles to penetrate the Earth's magnetosphere. Thus, analyzing corresponding solar flares or CMEs provides geoeffective parameters that help in predicting GSs. The purpose of the present study is to compare the geoeffectiveness of interplanetary features associated with DH type II burst-linked Halo CMEs (DH-HCMEs) and those not associated with DH type II bursts (Non-DH-HCMEs). In this study, it was observed that plasma flow pressure (FP) and flow speed (FS) attain their maximum values either before or during the main phase of the GS for both DH-HCMEs and Non-DH-HCMEs. We observed that the maximum values of FS and FP during solar cycle 23 (SC23), solar cycle 24 (SC24), and solar cycle 25 (SC25) are directly correlated with the lowest value of the Dst index for both DH-HCMEs and Non-DH-HCMEs. The analysis further showed that the Dst index decreases more significantly with increasing maximum solar wind speed (Vmax) of the disturbance across all three solar cycles, for moderate, intense, and severe GSs. Additionally, the Vmax associated with DH-HCMEs was consistently higher than that of Non-DH-HCMEs. We found that storm intensity is primarily driven by FP, with higher FP resulting in a more negative Dst index. Different FS regimes were also observed to have an impact on the value of the Dst index. In particular, during DH-HCME events in 2001 and 2005, we noted that when the Dst index rapidly dropped to its minimum—indicating a high rate of change of Dst index—FP did not decrease but instead remained relatively stable at a higher value. Since 2001 and 2005 were highly active years in SC23, the enhanced solar activity likely contributed to the occurrence of more energetic and faster Halo CMEs.

辐射和高能粒子与太阳黑子周围的太阳活动有关,包括太阳耀斑和日冕物质抛射(cme),可能对生物有害。大型地磁风暴(GSs)可能会削弱地磁场,使高能粒子能够穿透地球的磁层。因此,分析相应的太阳耀斑或日冕物质抛射提供了地球有效的参数,有助于预测GSs。本研究的目的是比较与DH II型爆发相关的光晕cme (DH- hcme)和与DH II型爆发无关的光晕cme (non -DH- hcme)相关的行星际特征的地球有效性。本研究发现,无论是DH-HCMEs还是非DH-HCMEs,等离子体流压(FP)和流速(FS)都在GS前或主要阶段达到最大值。我们观察到,在太阳周期23 (SC23)、太阳周期24 (SC24)和太阳周期25 (SC25)期间,FS和FP的最大值与高强度太阳cme和非高强度太阳cme的Dst指数的最小值直接相关。在中度、强烈和重度GSs中,Dst指数随扰动最大太阳风速度(Vmax)的增加而显著降低。此外,与DH-HCMEs相关的Vmax始终高于非DH-HCMEs。研究发现,暴雨强度主要受FP驱动,FP越高,Dst指数越负。还观察到不同的FS制度对Dst指数的值有影响。特别是在2001年和2005年的DH-HCME事件中,我们注意到当Dst指数迅速下降到最小值时(表明Dst指数的高变化率),fp并没有下降,而是保持在较高的值上相对稳定。由于2001年和2005年是SC23非常活跃的年份,太阳活动的增强可能导致了能量更大、速度更快的日冕物质抛射。
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引用次数: 0
Anisotropic compact star with Vaidya–Tikekar potential in f(Q) gravity 重力f(Q)下具有Vaidya-Tikekar势的各向异性致密星
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-20 DOI: 10.1007/s12036-025-10119-y
M. AWAIS, M. AZAM

The goal of this work is to develop physical models for spherically symmetric systems in the realm of f(Q) gravity. The field equations are set up for an anisotropic fluid, and formulate these equations using the physical ansatz of the Vaidya–Tikekar solution. The intrinsic constants of the model can be ascertained by matching the interior solution to the external Schwarzschild solution. The use of accessibility conditions helps to understand the physical viability of the obtained model. LMC X-4 pulsar is used as a toy model to test the viability of the model, and Mathematica software is used for deeper insights and visualisation of the physical parameters against fixed values of constants.

这项工作的目标是为f(Q)重力领域的球对称系统建立物理模型。建立了各向异性流体的场方程,并利用Vaidya-Tikekar解的物理解析得到了这些方程。模型的固有常数可以通过将内部解与外部史瓦西解匹配来确定。可达性条件的使用有助于理解所获得模型的物理可行性。LMC X-4脉冲星被用作一个玩具模型来测试模型的可行性,而Mathematica软件则用于对固定常数值的物理参数进行更深入的了解和可视化。
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引用次数: 0
Seasonal asymmetry in vertical distribution of meteor decay time at two conjugate polar latitudes 两个共轭极纬地区流星衰减时间垂直分布的季节不对称性
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-09 DOI: 10.1007/s12036-025-10126-z
K. Chenna Reddy

The meteor occurrence height and decay time height are strongly dependent on local atmospheric conditions in the mesosphere and lower thermosphere region. In this study, we comparatively examine the seasonal behaviour of vertical distribution of meteor occurrence height and decay time height at two identical radars of conjugate polar latitudes, Esrange ((68^circ )N) and Rothera ((68^circ )S). To understand the nature of meteor trail variations, the received signal power is categorised into two groups, weak and strong echoes, and their seasonal mean vertical profiles are constructed. It has been noticed that the meteor occurrence height shows a seasonal symmetry; however, the decay time vertical profiles show an asymmetric pattern at conjugate polar latitudes, particularly for strong echoes. Seasonally, there is about 1 km difference in the occurrence height and decay time height of weak and strong echoes. From the decay time vertical profiles, it has been noticed that the decay time turning altitude (i.e., inflection point) varies seasonally in the altitude range of 80–86 km for weak and strong echoes. The maximum turning altitude of about 85 km is observed in Northern winter at Esrange ((68^circ )N) and in Southern summer at Rothera ((68^circ )S); similarly, the minimum turning altitude of about 80 km is observed in Northern winter at Esrange ((68^circ )N) and in Southern summer at Rothera ((68^circ )S). The probable reasons for such behaviour of meteor trails at opposite polar latitudes are discussed.

流星发生高度和衰减时间高度强烈依赖于局地大气条件在中间层和低层热层区域。在本研究中,我们比较研究了Esrange ((68^circ ) N)和Rothera ((68^circ ) S)两个相同的共轭极纬度雷达上流星发生高度和衰减时间高度垂直分布的季节行为。为了了解流星轨迹变化的本质,将接收到的信号功率分为弱回波和强回波两组,并构建了它们的季节平均垂直剖面。人们已经注意到,流星的发生高度具有季节对称性;然而,衰减时间垂直剖面在共轭极纬度处呈现不对称模式,特别是在强回波处。在季节上,弱回波和强回波的发生高度和衰减时间高度相差约1 km。从衰减时间垂直剖面上可以看出,衰减时间转折高度(即拐点)在80 ~ 86 km的高度范围内,弱回波和强回波具有季节性变化。北部冬季在Esrange ((68^circ ) N)和南部夏季在Rothera ((68^circ ) S)观测到的最大转弯高度约为85公里;同样,在北部冬季的Esrange ((68^circ ) N)和南部夏季的Rothera ((68^circ ) S)观测到的最低转弯高度约为80公里。讨论了在相反极纬度的流星轨迹的这种行为的可能原因。
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引用次数: 0
A concordant ‘freely coasting’ cosmology 一个和谐的“自由滑行”宇宙论
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-09 DOI: 10.1007/s12036-025-10127-y
SAVITA GAHLAUT, PRANAV KUMAR, GEETANJALI SETHI, DAKSH LOHIYA

A strictly linear evolution of the cosmological scale factor is surprisingly an excellent fit to a host of cosmological observations. Any model that can support such a coasting presents itself as a falsifiable model as far as classical cosmological tests are concerned. Such evolution is known to be comfortably concordant with the Hubble diagram as deduced from data of recent observations of low and high redshift objects, it passes constraints arising from the age and gravitational lensing statistics, and clears basic constraints on nucleosynthesis. Such an evolution exhibits distinguishable and verifiable features for the recombination era. This article discusses the concordance of such an evolution in relation to minimal requirements for large-scale structure formation and cosmic microwave background anisotropies along with the overall viability of such models. While these results should be of interest for a host of alternative gravity models that support a linear coasting, we conjecture that a linear evolution would emerge naturally either from General Relativity itself or from a General Relativistic theory of a non-minimally coupled scalar field theory.

令人惊讶的是,宇宙尺度因子的严格线性演化非常适合于大量的宇宙观测。就经典宇宙学测试而言,任何能够支持这种滑行的模型都是可证伪的模型。众所周知,这种进化与哈勃图(根据最近对低红移和高红移天体的观测数据推断出来的)非常吻合,它通过了年龄和引力透镜统计数据产生的限制,并清除了核合成的基本限制。这种进化在重组时代表现出可区分和可验证的特征。本文讨论了这种演化与大规模结构形成和宇宙微波背景各向异性的最低要求之间的一致性,以及这种模型的总体可行性。虽然这些结果应该对支持线性滑行的许多替代引力模型感兴趣,但我们推测,线性演化将自然地从广义相对论本身或从广义相对论的非最小耦合标量场理论中出现。
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引用次数: 0
Exploring cosmic acceleration using dynamical system analysis in gravity-modified models 利用引力修正模型中的动力系统分析探索宇宙加速度
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-07 DOI: 10.1007/s12036-025-10123-2
Muhammad Zahid Mughal, Iftikhar Ahmad, Muhammad Mahtisham

The acceleration of cosmic expansion is a challenging problem in contemporary cosmology, drawing the attention of cosmologists. In relation to the subtle nature of the phenomenon in question, theories beyond general relativity abound to accommodate it in their purviews. f(R) models of gravity still offer a promising choice both at local and global horizons. In this study, we conduct a study of the accelerated cosmic expansion observed since the late-time era of the universe’s evolution, specifically within the context of f(R) gravity, which modifies the geometry of cosmic spacetime. By considering an f(R) model, we investigate first its viability conditions concerning radiation and matter eras and then follow a dynamical system approach to the analysis of the model. The dynamical system, under various conditions arising from the model using the variables m and r, is solved for fixed points, over which studying the stability properties of the system leads to the desired results. The parameters describing the densities of radiation, matter, and geometric curvature are calculated in each corresponding case. Through eigenvalues corresponding to the fixed points, we infer whether the system is stable or unstable. Apart from this, we consider all possible cosmic factors to assess the impact of their presence, as well as their individual and interactive effects. We observe that within the model, the critical points, corresponding eigenvalues, and the state parameter collectively justify the accelerating expansion, regardless of the dark energy considered. We also study the Lyapunov stability by linearising nonlinear systems and investigating how phase space analysis retains stability against small perturbations.

宇宙膨胀的加速是当代宇宙学中的一个具有挑战性的问题,引起了宇宙学家的关注。关于所讨论的现象的微妙本质,超越广义相对论的理论比比皆是,以适应它在他们的范围内。f(R)引力模型在局部和全球范围内仍然提供了一个有希望的选择。在这项研究中,我们对自宇宙演化晚期以来观测到的加速宇宙膨胀进行了研究,特别是在f(R)引力的背景下,它改变了宇宙时空的几何形状。通过考虑一个f(R)模型,我们首先研究了关于辐射和物质时代的生存条件,然后采用动力系统方法对模型进行分析。在使用变量m和r的模型引起的各种条件下,对动力系统求解不动点,在不动点上研究系统的稳定性可以得到期望的结果。描述辐射密度、物质密度和几何曲率的参数在每个相应的情况下被计算出来。通过不动点对应的特征值来推断系统是稳定的还是不稳定的。除此之外,我们考虑所有可能的宇宙因素来评估它们的存在的影响,以及它们的个体和相互作用的影响。我们观察到,在模型中,临界点、相应的特征值和状态参数共同证明了加速膨胀,而不考虑暗能量。我们还通过线性化非线性系统和研究相空间分析如何在小扰动下保持稳定性来研究李雅普诺夫稳定性。
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引用次数: 0
NGC 2392 and NGC 4361: Spectroscopic diagnostics of planetary nebula evolution NGC 2392和NGC 4361:行星状星云演化的光谱诊断
IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-02 DOI: 10.1007/s12036-025-10120-5
Atul Kumar Singh, Saurabh Sharma, Rahul Kumar Anand, Arpan Ghosh, Tarak Chand, Shantanu Rastogi

The study presents a detailed spectroscopic analysis of the planetary nebulae (PNe) NGC 2392 and NGC 4361 using optical spectra obtained from the 2-m Himalayan Chandra Telescope (HCT) and mid-infrared spectra from archival Spitzer IRS data. The physical conditions, such as electron temperature ((T_e)) and density ((n_e)), were derived using diagnostic emission lines through the PyNeb software. Elemental abundances of key species, including He, O, N, Ne, S, Cl, and Ar, were determined for both nebulae, offering insights into their nucleosynthesis history and evolutionary status. High-resolution HST and Pan-STARRS imaging further elucidate the morphological structures of the nebulae. NGC 2392 exhibits a well-defined double-shell structure and moderate excitation characteristics, while NGC 4361 displays a diffuse elliptical morphology with high-excitation conditions and a notably low nitrogen content. The observed line spectra and derived abundances point toward distinct progenitor histories for the two PNe, with NGC 2392 originating from a younger, intermediate-mass progenitor, while NGC 4361 traces an older, metal-poor Population II star. This comparative study enhances our understanding of the evolution and chemical enrichment processes of low- to intermediate-mass stars.

本研究利用2米喜马拉雅钱德拉望远镜(HCT)的光谱和斯皮策红外光谱仪档案数据的中红外光谱,对行星状星云NGC 2392和NGC 4361进行了详细的光谱分析。物理条件,如电子温度((T_e))和密度((n_e)),通过PyNeb软件使用诊断发射线推导。对这两个星云的关键元素,包括He、O、N、Ne、S、Cl和Ar的元素丰度进行了测定,从而深入了解了它们的核合成历史和进化状态。高分辨率HST和Pan-STARRS成像进一步阐明了星云的形态结构。NGC 2392表现出明确的双壳结构和中等激发特性,而NGC 4361表现出高激发条件下的弥散椭圆形态和显著的低氮含量。观测到的谱线光谱和推导出的丰度指向了这两颗PNe的不同的祖先历史,NGC 2392起源于一个年轻的、中等质量的祖先,而NGC 4361则追溯到一个更老的、金属贫乏的星族II星。这一对比研究增强了我们对中低质量恒星演化和化学富集过程的认识。
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引用次数: 0
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