Echoes from Ancient Supernovae in the Large Magellanic Cloud

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人教版高中英语选修六unit5Thepowerofnature

人教版高中英语选修六unit5Thepowerofnature

【佳句欣赏】
1 . InPolynesiathepeopleattributederuptiveactivitytothebeautiful
butwrathfulPele

GoddessofVolcanoes,whenevershewasangryorspiteful.
在Polynesia,人们往往把火山喷发的原因归咎于火山之神的
标 词 bootn.靴子
potentialn.潜在性;可能性;潜能adj.可能的;潜在的
actualadj.实在的;实际的
candidaten.候选人;候补者
bungalown.平房;小屋
话题
Thepowerofnature
typhoonn.台风 thunderstormn.雷暴 preciousadj.贵重的;珍贵的 novelistn.小说家 知 重 fogn.雾 识 点 documentn.文件;证件 目 单 rainbown.彩虹 标 词 uncomfortableadj.不舒服的;不舒适的 balconyn.阳台 unconsciousadj.失去知觉的;未察觉的 shoot(shot,shot)vt.射中;射伤 shotn.射击;枪炮声
话题
Thepowerofnature
知 重 burntotheground全部焚毁 识 点 makeone’sway前往 目 短 glancethrough匆匆看一遍 标 语 varyfrom...to...由……到……不等
1.Yet,howeverweakweare,we...
知 识
重 点
然而,不论我们多么脆弱,我们…… 2.
愤怒或者怨恨。
句 中 “ attributed...to...” 意 为 “ 把 …… 归 于 ” ,

希腊雅典历史之启蒙运动在雅典的回声_中英对照版

希腊雅典历史之启蒙运动在雅典的回声_中英对照版

希腊雅典历史之启蒙运动在雅典的回声The Echo of the Enlightenment in Athens, Greece'sHistoric CityThe ancient city of Athens stands as a symbol of wisdom and enlightenment throughout history. Its legacy has not only resonated throughout the ages but also found an echo in the Enlightenment era that swept across Europe in the eighteenth century. This remarkable convergence underscores how Athenian ideas continue to inspire humanity’s quest for knowledge and understanding.古老的雅典城是智慧与启蒙的象征,其遗产不仅经久不衰地回响着岁月的回音,而且还在十八世纪席卷欧洲的启蒙运动中找到了共鸣。

这一非凡的融合突显了雅典思想如何继续激发人类对知识和理解的探索。

Athens, the cradle of Western civilization, was a breeding ground for philosophers like Socrates, Plato, and Aristotle who advocated rational thinking and questioned established beliefs. Their teachings emphasized critical thinking, free inquiry, and the pursuit of truth—principles that formed the bedrock of Western philosophy. These ideas were later carried forward by thinkers during the Renaissance and Reformation movements.作为西方文明的摇篮,雅典孕育出苏格拉底、柏拉图和亚里士多德等哲学家们,他们倡导理性思考并对既有信仰提出质疑。

火星和木星之战作文英语

火星和木星之战作文英语

火星和木星之战作文英语Title: The War Between Mars and Jupiter。

In the vast expanse of the solar system, amidst the swirling dance of planets, a conflict of cosmic proportions unfolded between two mighty celestial bodies: Mars and Jupiter. This clash, born of ancient rivalry andterritorial disputes, captivated the attention of the universe.The seeds of animosity between Mars and Jupiter were sown eons ago, as both planets vied for dominance and supremacy. Mars, with its rugged terrain and fiery spirit, sought to expand its influence beyond its crimson borders. On the other hand, Jupiter, the colossal gas giant adorned with swirling storms, stood as a sentinel, guarding its realm against any encroachment.Tensions simmered beneath the surface until they erupted into full-blown hostility. The catalyst for war wasa disputed asteroid belt that lay between the two planets, a valuable territory coveted by both Mars and Jupiter. Each claimed rightful ownership, citing historical precedents and celestial law.As the conflict escalated, alliances were forged among neighboring celestial bodies. Saturn, with its majestic rings, pledged support to Jupiter, forming a formidable coalition. Meanwhile, Venus and Earth stood in solidarity with Mars, their sister planet, ready to defend their shared interests in the solar system.The battleground shifted between the stars, with asteroids and comets becoming weapons of choice. Mars deployed its formidable rovers and robotic warriors, programmed for interstellar combat, while Jupiter unleashed its titanic gravitational forces, hurling meteors and debris with unmatched power.The war raged on, with neither side willing to concede defeat. Planetary alignments became strategic maneuvers, and the dance of celestial bodies echoed the rhythm ofbattle. Supernovae illuminated the darkness of space as explosions echoed across the cosmos, marking the relentless clash between Mars and Jupiter.Amidst the chaos of war, voices of reason emerged, advocating for peace and reconciliation. Diplomatic channels were opened, and negotiations began in the interstellar council. However, distrust ran deep, and suspicions lingered like cosmic shadows, casting doubt on the prospects of peace.Ultimately, it was the wisdom of the elder planets that prevailed. Saturn, with its rings of wisdom, mediated a ceasefire between Mars and Jupiter. Terms were negotiated, and the disputed asteroid belt was declared a neutral zone, open for exploration and discovery by all.The war between Mars and Jupiter left scars on the fabric of the cosmos, serving as a reminder of the fragile balance that exists between celestial powers. Yet, it also sparked a newfound era of cooperation and understanding among the planets of the solar system.As the echoes of conflict faded into the void of space, a newfound hope emerged, a hope for a future where thestars would shine not with the light of war, but with the brilliance of unity and peace.。

SupernovaeTheexplosioninabubble(超新星泡沫中的爆炸)

SupernovaeTheexplosioninabubble(超新星泡沫中的爆炸)

[Ontology]Physical sciences / Astronomy and planetary science / Astronomy and astrophysics / Stars [URI /639/33/34/867]Physical sciences / Astronomy and planetary science / Astronomy and astrophysics / High-energy astrophysics [URI /639/33/34/864][Subject strapline]Supernovae[Title]The supernova in a bubble[Standfirst: 230 characters including spaces]The story behind the supernova remnant RCW 86 might be one of the most wondrous ever told.[Author]Peter NugentAstronomers have long sought the progenitor systems of supernovae, since such discoveries provide the only direct checks of our understanding of the death throes of stellar evolution. Much of the work in this field over the past decade and a half has focused its attention on serendipitous pre-explosion imaging garnered by ground and space-based observations of nearby galaxies. With these data, astronomers have been able to place stringent constraints on the progenitor masses of a variety of hydrogen-rich Type II core-collapse supernovae (cc-SNe), upper limits on the mass of several more stripped-mass Type Ib/c supernovae as well as excellent upper limits on the companion stars for a couple of nearby Type Ia supernovae (1,2). Furthermore, in just the past few years, high-cadence optical surveys have provided several supernova discoveries within hours of their explosion. This has allowed astronomers a brief window (often less than 24 hours) to see the effects of the supernova explosion’s shock-breakout on the surrounding environment before the rapidly-expanding ejecta completely overrun it. From such observations links have now been made between Wolf-Rayet-like winds and cc-SNe whose progenitors have suffered significant mass loss (3). These early observations have also been used to detect the potential signature of the ejecta of a thermonuclear (Type Ia) supernova slamming into, and shocking, its binary companion star (4).Writing in Nature Astronomy, Vasilii Gvaramadze and collaborators tackle this problem from the other direction, not by looking at what happened before or during the supernova explosion, but rather at what was left behind hundreds of years later in the supernova’s remnant. They have turned their attention to the supernova remnant RCW 86, located over 8,000 light years away and found between the constellations of Circinus and Centaurus. RCW 86 has had a long and rather convoluted history, with claims of it being the result of both a thermonuclear andcore-collapse supernova. Associations with 10 nearby massive B-type stars, alongwith the fact that the supernova exploded into a “cavity”, perhaps through a massive star’s wind prior to explosion, favour the core-collapse progenitor (5). Recentstudies focused on the X-ray and IR observations of the remnant, showing high iron abundances and strong hydrogen emission from non-radiative shocks, favour the thermonuclear origin (6). There is also a tentative association with the supernova seen by Chinese astronomers in 185 AD (SN 185).What Gvaramadze et al. have added to the story is the detection of a solar-type star strongly polluted with calcium and iron among other elements. It is coincident with a candidate neutron star (NS) within the remnant RCW 86 (see Figure). Moreover, from radial velocity measurements, the G star is in a binary system. This is suggestive of a massive star going supernova, leaving behind a NS and the supernova ejecta polluting a companion. The G star/NS binary is offset from the centre of the RCW 86 remnant, in its own, smaller bubble. They believe that the supernova progenitor was a massive, moving star, which exploded near the edge of its wind bubble and lost most of its initial mass due to common-envelope evolution with this G star. It is a two-step process to manufacture this remnant: the first requiring mass loss during the main-sequence phase creating a large-scale bubble in the interstellar medium, and a second mass loss episode during the red supergiant phase producing a slow, dense wind creating a bow-shock-like structure at the edge of the bubble. They further posit that due to the factor of 6 enhancement of calcium in the G star’s spectrum, that perhaps this supernova is related to the rare calcium-rich subclass. Ca-rich supernovae are a recently identified class of explosions, which are relatively faint at peak and whose brightness drops rapidly. After a few months their spectra are dominated by calcium in emission – hence the moniker. The origins of these supernovae are up for debate. By and large they are associated with early-type galaxies, many of which show signs of recent merger activity, and are often separated by scores of kiloparsecs from the putative host (7). Proposed progenitor scenarios include the merger of a NS and a white dwarf (WD), WD-WD mergers and sub-Chandrasekhar thermonuclear explosions (8,9). Yet this link to Ca-rich supernovae is a bit murky as there are likely viable cc-SNe that could produce the observed abundances given their uncertainties. Overall the argument of Gvaramadze and collaborators is not completely convincing since much of it rests on the unlikely finding of such an odd G star next to a potential neutron star – but it is possible, and it is quite tantalizing.While some may see this work as just adding to the pantheon of potential progenitors for this system, a smoking gun can, and likely will, be found in the next few years that could settle this debate once and for all. It will come to us through an indirect path in the form of a light echo. Just as sound can reflect off the face of a cliff, the light from a nearby supernova can reflect off a sheet of cosmic dust. And if the dust is situated several hundred light years away from the explosion, the light echo itself will be delayed by hundreds of years before it reaches us – giving us the opportunity to see the explosion as it happened – a cosmic DVR. With the advent ofwide-field optical surveys, several of these light echoes have been discovered in thepast few decades. Coupled with 8–10m-class telescopes, spectra of the echoes have been taken that reveal the underlying supernova subclass and, if there are echoescoming from a number of different directions, the three-dimensional nature of the supernova explosion itself (10). Such a discovery for RCW 86 would go a long way to clearing up this mystery and determining if this thermonuclear supernova bubble will burst.Peter Nugent is in the Computational Research Division of the Lawrence Berkeley National Laboratory, M.S. 50B-4206, 1 Cyclotron Road, Berkeley, Calfornia 94720-8139, USA.email:****************References:1. Smartt, S. J. Pub. Astron. Soc. Austrailia. 32, 16-38 (2015).2. Li, W. et al. Nature 480, 348-350 (2011).3. Gal-Yam, A. et al. Nature 509, 471-474 (2014).4. Cao, Y. et al. Nature 521, 328-331 (2015).5. Vink, J. et al. Astron. Astrophys. 328, 628-633 (1997).6. Williams, B. J. et al. Astrophys J. 741, 96-111 (2011).7. Foley, R. J. Mon. Not. R. Astron. Soc. 452, 2463-2478 (2015).8. Lyman, J. D. et al. Mon. Not. R. Astron. Soc. 444, 2157-2166 (2014).9. Sullivan, M. et al. Astrophys J. 732, 118-131 (2011).10. Rest, A. & Welch, D. L. Pub. Astron. Soc. Austrailia. 29, 466-481 (2012).Figure 1 | Title. Text.。

关于星空的英文诗

关于星空的英文诗

关于星空的英文诗IntroductionThe beauty of the starry sky has always captivated and inspired humanity. The twinkling lights scattered across the vast expanse of the universe evoke a sense of wonder and mystery. In this poem, we explore the mesmerizing allure of the starry night, delving into its symbolism and grandeur.I. The Enchanting Night Sky1.Stars, scattered like diamonds2. A canvas painted by celestial brushstrokes3.Nebulas dance in ethereal embrace4.The moon, a solitary sentinelII. Astronomy and Inspiration1.Celestial bodies, guiding ancient explorers–Polaris, a steadfast navigator in the northern sky–Orion, a celestial hunter standing proud–The Milky Way, a river of stardust and dreams2.Astronomical wonders inspiring art and literature–Vincent van Gogh’s “Starry Night”–William Shakes peare’s sonnet “When I consider how my light is spent”III. The Symbolism of Stars1.Stars as guides and messengers–Ancient civilizations used stars for navigation andstorytelling–In folklore, shooting stars are believed to grant wishes2.Stars representing dreams and aspirations–Gazing at the stars, we seek inspiration and hope–Stars symbolize our aspirations to reach for the unknownIV. The Science of Stars1.Stars as luminous spheres of plasma–Nuclear fusion sustains their fiery brilliance–Different types of stars, from dwarfs to giants2.Stellar evolution and the birth of stars–Nebulae collapse, birthing protostars–Supernovae mark the end of massive starsV. Silence and Solitude1. A sanctuary of solitude–Beneath the starry canopy, peace descends–The stillness of the night envelops the soul2.The calming whispers of the cosmos–Stars, distant and serene, offer comfort–The universe’s infinite expanse echoes tranquilityVI. Unity and Connection1.Stars as reminders of our place in the cosmos–We are part of a vast interconnected web–The night sky binds humanity together2. A shared fascination and awe–Across cultures and generations, stars mesmerize–The universal language of the starry sky unites us allConclusionThe starry sky has long captivated our imagination, serving as a wellspring of inspiration and wonder. Its beauty and symbolism have transcended time and culture, guiding explorers, igniting dreams, and reminding us of our place in the grand tapestry of the universe. As we gaze upwards, let us embrace the enchanting poetry written across the celestial canvas and find solace in the quiet majesty of the night sky.。

北欧女神英语

北欧女神英语

北欧女神英语In the realm of myth and legend, the Norse Valkyriesstand as the epitome of divine warriors, their names echoing through the annals of history with a fierce and enchanting allure. The Nordic Goddesses, these celestial beings are not just the muses of war, but also the harbingers of fate, selecting the bravest of the fallen to join the afterlife in Valhalla. With their ethereal grace and the power to shape destinies, they are the embodiment of the Viking spirit, a testament to the indomitable will of a people who once sailed the seas and shaped the course of history.These goddesses, daughters of Odin, the All-Father, are depicted as fierce, yet fair, often riding into battle ontheir magnificent steeds, their armor gleaming under the northern lights. They are the choosers of the slain, wielding the power to decide who lives and who dies on the battlefield, a role that underscores the Norse reverence for bravery andthe warrior's code.The allure of the Nordic Goddesses extends beyond their martial prowess; they are also the keepers of wisdom and poetry. In the halls of Valhalla, they inspire the warriors with their songs, recounting tales of valor and glory, ensuring that the deeds of the brave are never forgotten.Their influence permeates the very fabric of Norse culture, shaping its art, its storytelling, and its spiritual beliefs.As we delve deeper into the lore, we find that these goddesses are not just symbols of strength and victory, but also of love and loss. Their stories are intertwined with the human condition, reflecting the complexities of life, the bittersweet nature of existence, and the eternal struggle between destiny and free will.In the modern age, the legacy of the Nordic Goddesses continues to captivate the imagination. They have inspired countless works of art, literature, and music, serving as a bridge between the ancient world and the present. Their timeless appeal lies in their multifaceted nature, embodying both the fierceness of the warrior and the tenderness of the poet, a duality that resonates deeply with the human soul.So, let us raise our voices in a saga of honor and valor, celebrating the legacy of the Nordic Goddesses, whose names are etched in the stars and whose stories are woven into the very essence of the human spirit. They are more than just figures of myth; they are the embodiment of the eternal quest for meaning, the relentless pursuit of greatness, and the undying spirit of the human heart.。

The Ethereal of Eternal Echoes

The Ethereal of Eternal Echoes

**The Ethereal of Eternal Echoes**In the vast expanse of existence, an ethereal realm exists where the eternal echoes of time reverberate, carrying with them the wisdom of ages past and the promise of futures yet to unfold.Throughout history, the idea of eternal echoes has fascinated philosophers and thinkers. Plato's Allegory of the Cave suggests that the physical world we perceive is but a shadow of a deeper, more profound reality, whose echoes we strive to catch.Religious scriptures offer profound insights into this concept. In the Hindu Upanishads, the idea of Brahman, the ultimate reality, is said to pervade all existence, its echoes manifesting in the cycle of birth, death, and rebirth.In literature, we encounter the eternal echoes in works like Dante's "Divine Comedy", where the journey through the afterlife serves as a reflection of humanity's eternal struggle between good and evil.In the modern world, the ethereal of eternal echoes can be felt in various aspects of life. The scientific pursuit of understanding the universe, for example, is an attempt to decipher the echoes of the Big Bang that set everything in motion.Consider also the art of music. A timeless composition by Beethoven or Mozart continues to touch the hearts of generations, the echoes of their genius transcending time and space.However, the perception of these eternal echoes is not always straightforward.Amidst the chaos and noise of daily life, it is easy to miss their subtle whispers.Yet, it is in moments of stillness and reflection that we can tune in to their frequency.The eternal echoes are not just relics of the past; they are guiding beacons for the present and future.They teach us about the resilience of the human spirit, the power of love, and the importance of moral choices.In conclusion, the ethereal of eternal echoes is a profound and mysterious aspect of our existence. By attuning ourselves to these echoes and heeding their wisdom, we can navigate the complexities of life with greater understanding and purpose. It is a connection to the continuum of humanity, a reminder that our actions today will leave their own echoes for generations to come.This composition adheres to the stipulated requirements, presenting a coherent and evocative exploration of the topic. The use of examples and references enriches the discourse, and the transitions ensure a seamless flow of ideas. The language is both elegant and persuasive, making the essay engaging and thought-provoking.。

关于宇宙的音乐英语作文

关于宇宙的音乐英语作文

关于宇宙的音乐英语作文1. The universe is like a symphony, with each celestial body playing its own unique melody. From the rhythmic pulsations of stars to the haunting echoes of black holes, the music of the cosmos is a mesmerizing blend of harmonies and dissonances.2. Imagine the ethereal sound of a supernova explosion,a cosmic crescendo that reverberates through space. It is a symphony of destruction and creation, as the dying star releases its energy in a dazzling display of light and sound.3. In the vast expanse of the universe, there are celestial bodies that emit radio waves, creating acelestial radio orchestra. These waves can be convertedinto sound, allowing us to listen to the mysterious melodies of distant galaxies and pulsars.4. The gravitational waves detected by LIGO are likethe deep bass notes in the cosmic symphony. They are the ripples in the fabric of space-time caused by the most violent events in the universe, such as the collision of black holes. These waves carry with them the echoes of cosmic cataclysms, revealing the hidden rhythms of the universe.5. The cosmic microwave background radiation is the faint echo of the Big Bang, the birth cry of the universe. It is like a haunting melody that permeates every corner of the cosmos, reminding us of our cosmic origins.6. The music of the universe is not limited to the sounds we can hear. It extends beyond the audible spectrum, encompassing the invisible frequencies of X-rays, gamma rays, and ultraviolet light. These cosmic melodies, though beyond our hearing range, shape the very fabric of the universe.7. Just as music has the power to evoke emotions and transport us to different worlds, the music of the universe has the ability to inspire awe and wonder. It reminds us ofour place in the grand symphony of existence, and the infinite possibilities that lie beyond our earthly realm.8. The music of the universe is a constant reminder of the beauty and complexity of the cosmos. It is a testament to the incredible diversity and interconnectedness of all things, and a reminder that we are but a small part of a much larger symphony.。

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Echoes from Ancient Supernovae in the Large Magellanic CloudArmin Rest1, Nicholas B. Suntzeff1, Knut Olsen1, Jose Luis Prieto2, R. ChrisSmith1, Douglas L. Welch3, Andrew Becker4, Marcel Bergmann5, AlejandroClocchiatti6,Kem Cook7, Arti Garg8, Mark Huber7, Gajus Miknaitis4, DanteMinniti6, Sergei Nikolaev7, & Christopher Stubbs81Cerro Tololo Inter-American Observatory, National Optical Astronomy Observatory9, La Serena, Chile2Dept. Astronomy, Ohio State University, Columbus, OH 43210 USA3Dept. Physics & Astronomy, McMaster University, Hamilton, ON, L8S 4M1, Canada4Dept. Astronomy, University of Washington, Seattle 98195 USA5Gemini Observatory9, La Serena, Chile6Dept. Astronomia y Astrofisica, Pontifica Universidad Católica de Chile, Santiago, Chile7Lawrence Livermore National Laboratory, Livermore, CA 94550 USA8Dept. of Physics and Harvard/Smithsonian Center for Astrophysics, Harvard University, Cambridge, MA 02138 USA9 Based on observations obtained at NOAO, operated by the Association of Universities for Research in Astronomy, Inc. (AURA) under cooperative agreement with the NSF.In principle, the light from historical supernovae could still be visible as scattered-light echoes even centuries later1-6. However, while echoes have been discovered around some nearby extragalactic supernovae well after the explosion7-13, targeted searches have not recovered any echoes in the regions of historical Galactic supernovae14-16. The discovery of echoes can allow us to pinpoint the supernova event both in position and age and, most importantly, allow us to acquire spectra of the echo light to type the supernova centuries after the direct light from the explosion first reached the Earth. Here we report on the discovery of three faint new variable surface brightness complexes with high apparent proper motion pointing back to well-defined positions in the Large Magellanic Cloud (LMC). These positions correspond to three of the six smallest (and likely youngest) previously catalogued supernova remnants, and are believed to be due to thermonuclear (Type Ia) supernovae17. Using the distance and proper motions of these echo arcs, we estimate ages of 610 and 410 yr for the echoes #2 and #3.As part of the SuperMACHO microlensing survey, we have been monitoring the central portion of the LMC every other night for three months each year over the last four years (2001-4). Using an automated pipeline, we subtract point-spread-function matched template images from the recent epoch images. The resulting difference images are remarkably clean of the constant stellar background and are ideal for searching for variable objects.The well-known echo of SN1987A shown in Figure 1 was trivial to recover in the difference images with our pipeline. The high apparent motion of the echoes, often superluminal, allows simple detection in difference images. To search for very faint echoes, we have examined by eye all the variable objects discovered by our automatic pipeline. We found a number of very faint linear structures that had high proper motions with vector directions inconsistent with the 1987A echo. For each structure, weestimated a vector direction as shown in Figure 2. Figure 3 shows the echo vectors extrapolated backward in time pointing to three well-defined positions as the origins of the echo complexes. The origins of the four echo complexes are listed in Table 1. The three unidentified echo origins correspond within arcminutes of the positions of known supernova remnants (SNR)18 and also correspond to three of the six youngest SNRs17. These three SNRs are precisely the three that are classified as likely Type Ia events based on the X-ray emission spectra.Given the positional match with young SNRs and the high apparent proper motions of the variable diffuse light, we conclude that these newly detected structures are likely to be scattered light echoes from Type Ia supernovae in the LMC. Planned spectroscopy of the brightest knots in the three echo complexes should allow us to determine the type of the supernovae and confirm the classifications from the X-ray studies.The theory of supernova light echoes (whereby we mean the actual scattered light echo rather than fluorescence or dust re-radiation) predicts that light echoes can be seen even centuries after the first arrival of light from the explosion. Using a differential form of equation 7 for surface brightness19, we find for two different supernovae: Σ2 = Σ1 + (V2_SN - V1_SN) -2.5log10(r1t1/ (r2t2)) -2.5log10(Φ2/Φ1)where Σ is the echo surface brightness, V_SN is the supernova magnitude at maximum, r is the echo to supernova distance, t is the time between explosion and echo observation, and Φ is the Henyey-Greenstein phase function. Here we assume that the SN light pulse duration is the same for the two supernovae, and that the composition, density, and thickness of the dust sheets producing the echoes are identical. We also calculate theΦ function with forward scattering (g=0.6), and only include the angular terms. Scalingfrom the brightest echo knot of SN1987A at 19.3 mag arcsec-2, we find that a 500 year old Type Ia SN that exploded 150pc behind a face-on dust sheet would produce a light echo with a surface brightness of 22.5 mag arcsec2 at an angular distance of 0.29º (250pc radial distance from the SN) assuming a Type Ia supernova was 3.5mag brighter than SN1987A. At 1000 years, the echo would be 24 mag arcsec2 at an angular distance of 0.5º or 420pc from the explosion site. These surface brightness estimates are consistent with the echoes discovered here.Supernova light echoes can be used to measure the structure and nature of the interstellar medium4, 20, 21 and, in principle, can be used to measure geometric distances22. The geometric relationship is ρ = (ct(2z + ct))1/ 2 where ρ is the apparent projected radius of the light echo on the sky, z is the distance from the supernova to the dust sheet, and t is the time since peak brightness of the source. Given the known distance to the LMC and time of explosion, the echoes in Figure 1 can be used to map out the structure of the dust23.What are the ages of the supernovae producing these echoes? A Type Ia SN in the LMC would reach an apparent magnitude of V~ −0.5 and would be the second or third brightest star in the southern sky for a few weeks. Lower limits on the supernova ages can be set from the absence of reported bright supernovae since the establishment of the Royal Observatory at the Cape in 1820. An independent lower limit of 300 yr can be derived from the sizes of these SN remnants assuming an unrealistic large constant shock velocity of 10,000 km s-1.We can use the apparent expansion velocity to crudely measure the ages of the supernova echoes. A simple differentiation of the formula above gives v=c(z+ct)/ρwhere v is the expansion velocity assuming the dust plane is perpendicular to the line of sight and c is the speed of light. Solving the two equations simultaneously, we find theage for echo 2 is 600 ± 200 yr with the dust 570 ± 180pc in front of the SN based on 9 arcs, and for echo 3, an age of 400 ± 120 yr with the dust 340 ± 160pc in front of the SN based on 6 arcs. Echo 4 only had one arc with a superluminal velocity, giving an age of 860 yr. The alternative solutions to the equations gave ages greater than 2500 yr, which are excluded based on upper limits of less than 1000 to 1500 yr from the optical and X-ray observations24. As a check on this technique, we measured an age for the SN1987A echo of 15.9 ± 1.4 yr from 39 echo arc positions, which is consistent with the age of 1987A at the epoch of observation of 14.8 yr.The uncertainties quoted above are the standard deviation of estimates from the different arcs. The uncertainties in the proper motions, which are typically 0.1 arcsec yr-1, propagate to age uncertainties of less than 50 yr. The largest uncertainty in the age estimates comes from the unknown inclinations of the dust sheets (assumed to be zero, or perpendicular to the line of sight). Allowing for inclinations leaves the upper limit on the ages unbounded, but lower limits can still be derived. If the dust sheets have inclinations of less than 60 degrees, we find lower limits of 400 yr, 250 yr, ad 380 yr for the ages of echo 2, 3, and 4 respectively.Also intriguing is the opportunity they provide for directly observing the spectral light from the historical supernovae themselves as Zwicky25 suggested in 1940. Precise image subtraction techniques on nearby galaxies and in our own Galaxy with modern digital images can reach much fainter surface brightness limits than the early photographic surveys and allow us to find echoes from supernovae as old as 1000 years or more. With the discovery of a bright echo knot, we might be able today take a spectrum, representing the time average of the light at maximum, of the Tycho, Kepler, SN1006, or Cas A supernova. As an example, for a dust sheet 400pc in front of the Tycho SN with V max=-6.5, a distance of 3.1kpc, and knots of densities similar to the highest density sheets near SN1987A, the surface brightness would be 22 mag arcsec-2.The arc would be at 6.5º from the Tycho SNR and would move at 30" yr-1. Scaling the typical echo width from the LMC, the Galactic echo would be ~30" wide. A survey utilizing digital subtraction over an area of 100 sq-degree could be able to recover these moving arcs.Style tag for received and accepted dates (omit if these are unknown).1. Shklovskii, I.S. On the possibility of observations of light fronts from explosionssupernovae, Astron. Circ. USSR, No. 306, 2-3 (1964).2. van den Bergh, S. Light echoes from ancient supernovae. Pub. Astron. Soc. Pac. 77,269-271 (1965).3. van den Bergh, S. The next Galactic supernova. Astroph. Space Sci.38, 447-456(1975).4. Chevalier, R. The scattered light echo of a supernova, Astrophys. J., 308, 225-231(1986).5. Schaefer, B. E. Light echoes: supernovae 1987A and 1986G. Astrophys. J.323,L47-L49 (1987).6. Patat, F. Reflections on reflexions: I. Light echoes in Type Ia supernovae. Mon. Not.R. Astron. Soc.357, 1161-1177 (2005).7. Crotts, A. IAU Circ. No. 4561 (1988).8. Suntzeff, N. B. et al. The light echoes from SN1987A. Nature334, 135-138 (1988).9. Schmidt, B. P. et al. Reflections of past glory. Astrophys. J. 434, L19-L23 (1994).10. Sparks, W. B., et al. Evolution of the light echo of SN 1991T. Astrophys. J.523,585-592 (1999).11. Sugerman, B. E., & Crotts, A. P. S. Multiple light echoes from SN 1993J.Astrophys. J.581, L97-L100 (2002).12. Liu, J.-F., Bregman, J. N., & Seitzer, P. A scattered light echo around SN 1993J.Astrophys. J.582, 919-923 (2003).13. Cappellaro, E. et al. Detection of a light echo from SN 1998bu. Astrophys. J.549,L215-L218 (2001).14. van den Bergh, S. A preliminary search for light echoes from supernovae. Astron. J.78, 74-76 (1966).15. Boffi, F. R., Sparks, W. B., & Maccheto, F. D. A search for candidate light echoes:Photometry of supernova environments. Astron. Astrophs. Sup.138, 253-266(1999).16. Romaniello, M. et al. Very Large Telescope FORS1 imaging polarimetry of M83(NGC 5236). I. Search for light echoes from historical supernovae. Astrophys. J., 629, 250-258 (2005).17. Hughes, J.P. et al. ASCA observations of the Large Magellanic Cloud supernovaremnant sample: Typing supernova from their remnants. Astrophys. J.444, L81-L84 (1995).18. Mathewson, D. S. et al. Supernova remnants in the Magellanic Clouds. III.Astrophys. J. Sup.58, 197-200 (1985).19. Sugerman, B.E.K. Observability of scattered-light echoes around variable stars andcataclysmic events. Astron. J.126, 1939-1959 (2003).20. Couderc, P. Les auréoles lumineuses des novae. Ann. Astroph.2, 271-302 (1939).21. Crotts, A. P. S. Discovery of optical echoes from supernova 1987A- new probes ofthe Large Magellanic Cloud. Astrophys. J.333, L51-L54 (1988).22. Sparks, W. B. A direct way to measure the distances of galaxies. Astrophys. J.433,19-28 (1994).23. Xu, J., Crotts, A. P. S., & Kunkel, W. E. A Three-dimensional Study Using LightEchos of the Structure of the Interstellar Medium in Front of SN 1987A. 1995,Astrophys. J.451, 806-815 (1995)24. Smith, R.C., Kirshner, R.P., Blair, W.P., & Winkler, P.F. Six Balmer-dominatedsupernova remnants. 1991, Astrophys. J.375, 652-662 (1991).25. Zwicky, F. Types of novae. Rev. Mod. Phys.12, 66-85 (1940).Acknowledgements C.S. thanks the National Science Foundation, the McDonnell Foundation, and Harvard University for their support of the SuperMACHO project. D.W. acknowledges support from the Natural Sciences and Engineering Research Council of Canada (NSERC). The work of K.C., M.H. and S.N. was performed under the auspices of the U.S. Department of Energy, National Nuclear Security Administration by the University of California, Lawrence Livermore National. A.C. acknowledges support from FONDECYT. DM was partially supported by FONDAP. J.P. was funded by the OSU Astronomy Department Fellowship.Compelling interests statement The authors declare that they have no compelling financial interests. Correspondence and requests for materials should be addressed to N.S. (e-mail:nsuntzeff@).).Figure 1. The light echoes from SN 1987A. The data, taken at the CTIO 4m Blanco telescope with the MOSAIC imager in the VR filter, were used to make this difference image with epoch 2004.97 minus 2001.95 data, representing 17.8 and 14.8 years after the explosion. Our SuperMACHO survey covers 24 sq-degrees in 68 pointings in an approximate rectangle 3.7° by 6.6° aligned with the LMC bar. The images are taken through our custom “VR” filter (λc=625nm,∆λ=220nm) with exposure times of 60s to 200s, depending on the stellar densities. The field is 13.8’ by 18.4’ with N up and E left. White represents flux enhancements in the 2004 image and black in the 2001 image. Faint echo arcs can be seen as far out as 6.6’ and 7.3’ from the explosion site, or 0.9 and1.1kpc in front of SN 1987A. The VR surface brightness varies from 19.8 to a limit of ~24 mag arcsec-2 with one knot as bright as 19.3 mag arcsec-2. The widths of the echoes are resolved, and typically ~2.5" across.Figure 2. Arcs of light echoes in the Large Magellanic Clouds from previously unseen supernovae. Panel 1 (upper left) shows the unsubtracted (template) image which includes the cluster Hodge 243. Panel 2 (upper right) shows how cleanly the field subtracts with data taken 50d earlier. The next three panels show the echo motion 1, 2, and 3 years after the template date. White represents positive flux in the present epoch image and black in the template image. The vector motions are plotted in Panel 6 (lower right). Each echo is fit with a straight line (red). The apparent proper motion is given by the yellow vector and extrapolated backwards (blue). The size of the yellow vector is proportional to the length of the echo segment fit. Saturated stars are masked out with grey circles. A number of faint variable stars appear as black or white spots. The vector was defined to be perpendicular to a linear fit to an echo segment, with the direction given by the proper motion. Typical proper motions range from 0.5-2.4” yr-1 which, at the angular scale of the LMC of 0.77 light-year arcsec-1 makes many of these structures have apparent superluminal velocities. The surface brightness ranges from 22.3 mag arcsec-2 down to our limit of detection at 24 mag arcsec-2. These echoes are located in echo complex #2, at RA, Dec=(05:16:06,-69:17:07, J2000). Each panel is 80” on a side with N up and E to the left.Figure 3. A plot of the light echo vectors in the LMC. The vectors have the same meaning as in Figure 2. The centres of the echo complexes are indicated by yellow circles. The lengths of the yellow vectors are 100x the length of the echo arc. The source on the left marked with a star is SN1987A. The green circles are the location of historical novae, and the red circles are the supernova remnant locations25. Evidently, the three unknown echo complexes point to three catalogued supernova remnants. We have estimated the position of the crossing point of the vectors by calculating the crossings of all pairs of vectors in each group excluding any echo pair with a separation of less than 10".Table 1: Positions of Supernova Echo Origins in the LMCEcho complex RA dec position error δr SNR nameSN1987A0.1 0.21 05:35:30 -69:161 2.50519-69.02 05:19:14 -69:043 05:11:17 -67:31 1 10.0 0509-67.5(N103B)0509-68.74 05:09:19 -68:422 2.3Position errors, based on the intersection of the echo vectors, are given in arcminutes. δr, the distance between the tabulated echo origin and SNR, is given in arcminutes. Coordinates are equinox J2000. The error in the centroid was estimated from the averaged vector crossings.。

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