Understanding Sea Level Change
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The Mathematics of the Chinese, Indian, Islamic and Gregorian Calendars
Heavenly Mathematics: The Mathematics of the Chinese, Indian, Islamic and Gregorian Calendars Helmer Aslaksen Department of Mathematics National University of Singapore [email protected] www.math.nus.edu.sg/aslaksen/ www.chinesecalendar.net 1 Public Holidays There are 11 public holidays in Singapore. Three of them are secular. 1. New Year’s Day 2. Labour Day 3. National Day The remaining eight cultural, racial or reli- gious holidays consist of two Chinese, two Muslim, two Indian and two Christian. 2 Cultural, Racial or Religious Holidays 1. Chinese New Year and day after 2. Good Friday 3. Vesak Day 4. Deepavali 5. Christmas Day 6. Hari Raya Puasa 7. Hari Raya Haji Listed in order, except for the Muslim hol- idays, which can occur anytime during the year. Christmas Day falls on a fixed date, but all the others move. 3 A Quick Course in Astronomy The Earth revolves counterclockwise around the Sun in an elliptical orbit. The Earth ro- tates counterclockwise around an axis that is tilted 23.5 degrees. March equinox June December solstice solstice September equinox E E N S N S W W June equi Dec June equi Dec sol sol sol sol Beijing Singapore In the northern hemisphere, the day will be longest at the June solstice and shortest at the December solstice. At the two equinoxes day and night will be equally long. The equi- noxes and solstices are called the seasonal markers. 4 The Year The tropical year (or solar year) is the time from one March equinox to the next. The mean value is 365.2422 days. -
Sea-Level Rise for the Coasts of California, Oregon, and Washington: Past, Present, and Future
Sea-Level Rise for the Coasts of California, Oregon, and Washington: Past, Present, and Future As more and more states are incorporating projections of sea-level rise into coastal planning efforts, the states of California, Oregon, and Washington asked the National Research Council to project sea-level rise along their coasts for the years 2030, 2050, and 2100, taking into account the many factors that affect sea-level rise on a local scale. The projections show a sharp distinction at Cape Mendocino in northern California. South of that point, sea-level rise is expected to be very close to global projections; north of that point, sea-level rise is projected to be less than global projections because seismic strain is pushing the land upward. ny significant sea-level In compliance with a rise will pose enor- 2008 executive order, mous risks to the California state agencies have A been incorporating projec- valuable infrastructure, devel- opment, and wetlands that line tions of sea-level rise into much of the 1,600 mile shore- their coastal planning. This line of California, Oregon, and study provides the first Washington. For example, in comprehensive regional San Francisco Bay, two inter- projections of the changes in national airports, the ports of sea level expected in San Francisco and Oakland, a California, Oregon, and naval air station, freeways, Washington. housing developments, and sports stadiums have been Global Sea-Level Rise built on fill that raised the land Following a few thousand level only a few feet above the years of relative stability, highest tides. The San Francisco International Airport (center) global sea level has been Sea-level change is linked and surrounding areas will begin to flood with as rising since the late 19th or to changes in the Earth’s little as 40 cm (16 inches) of sea-level rise, a early 20th century, when climate. -
Alexander Jones Calendrica I: New Callippic Dates
ALEXANDER JONES CALENDRICA I: NEW CALLIPPIC DATES aus: Zeitschrift für Papyrologie und Epigraphik 129 (2000) 141–158 © Dr. Rudolf Habelt GmbH, Bonn 141 CALENDRICA I: NEW CALLIPPIC DATES 1. Introduction. Callippic dates are familiar to students of Greek chronology, even though up to the present they have been known to occur only in a single source, Ptolemy’s Almagest (c. A.D. 150).1 Ptolemy’s Callippic dates appear in the context of discussions of astronomical observations ranging from the early third century B.C. to the third quarter of the second century B.C. In the present article I will present new attestations of Callippic dates which extend the period of the known use of this system by almost two centuries, into the middle of the first century A.D. I also take the opportunity to attempt a fresh examination of what we can deduce about the Callippic calendar and its history, a topic that has lately been the subject of quite divergent treatments. The distinguishing mark of a Callippic date is the specification of the year by a numbered “period according to Callippus” and a year number within that period. Each Callippic period comprised 76 years, and year 1 of Callippic Period 1 began about midsummer of 330 B.C. It is an obvious, and very reasonable, supposition that this convention for counting years was instituted by Callippus, the fourth- century astronomer whose revisions of Eudoxus’ planetary theory are mentioned by Aristotle in Metaphysics Λ 1073b32–38, and who also is prominent among the authorities cited in astronomical weather calendars (parapegmata).2 The point of the cycles is that 76 years contain exactly four so-called Metonic cycles of 19 years. -
Causes of Sea Level Rise
FACT SHEET Causes of Sea OUR COASTAL COMMUNITIES AT RISK Level Rise What the Science Tells Us HIGHLIGHTS From the rocky shoreline of Maine to the busy trading port of New Orleans, from Roughly a third of the nation’s population historic Golden Gate Park in San Francisco to the golden sands of Miami Beach, lives in coastal counties. Several million our coasts are an integral part of American life. Where the sea meets land sit some of our most densely populated cities, most popular tourist destinations, bountiful of those live at elevations that could be fisheries, unique natural landscapes, strategic military bases, financial centers, and flooded by rising seas this century, scientific beaches and boardwalks where memories are created. Yet many of these iconic projections show. These cities and towns— places face a growing risk from sea level rise. home to tourist destinations, fisheries, Global sea level is rising—and at an accelerating rate—largely in response to natural landscapes, military bases, financial global warming. The global average rise has been about eight inches since the centers, and beaches and boardwalks— Industrial Revolution. However, many U.S. cities have seen much higher increases in sea level (NOAA 2012a; NOAA 2012b). Portions of the East and Gulf coasts face a growing risk from sea level rise. have faced some of the world’s fastest rates of sea level rise (NOAA 2012b). These trends have contributed to loss of life, billions of dollars in damage to coastal The choices we make today are critical property and infrastructure, massive taxpayer funding for recovery and rebuild- to protecting coastal communities. -
How Long Is a Year.Pdf
How Long Is A Year? Dr. Bryan Mendez Space Sciences Laboratory UC Berkeley Keeping Time The basic unit of time is a Day. Different starting points: • Sunrise, • Noon, • Sunset, • Midnight tied to the Sun’s motion. Universal Time uses midnight as the starting point of a day. Length: sunrise to sunrise, sunset to sunset? Day Noon to noon – The seasonal motion of the Sun changes its rise and set times, so sunrise to sunrise would be a variable measure. Noon to noon is far more constant. Noon: time of the Sun’s transit of the meridian Stellarium View and measure a day Day Aday is caused by Earth’s motion: spinning on an axis and orbiting around the Sun. Earth’s spin is very regular (daily variations on the order of a few milliseconds, due to internal rearrangement of Earth’s mass and external gravitational forces primarily from the Moon and Sun). Synodic Day Noon to noon = synodic or solar day (point 1 to 3). This is not the time for one complete spin of Earth (1 to 2). Because Earth also orbits at the same time as it is spinning, it takes a little extra time for the Sun to come back to noon after one complete spin. Because the orbit is elliptical, when Earth is closest to the Sun it is moving faster, and it takes longer to bring the Sun back around to noon. When Earth is farther it moves slower and it takes less time to rotate the Sun back to noon. Mean Solar Day is an average of the amount time it takes to go from noon to noon throughout an orbit = 24 Hours Real solar day varies by up to 30 seconds depending on the time of year. -
Metonic Intercalations in Athens
METONIC INTERCALATIONSIN ATHENS ~W~7~JHENI published in 1940 the only knownAttic decreenaming in its preamble v v at least part of the name and demotic of the secretary of 298/7 I suggested that the calendar equation indicated an ordinary year of twelve months.' This deter- mination was taken over by Pritchett and Meritt in Chronology of Hellenistic Athens (p. xvi), by Pritchett and Neugebauer in Calendars of Athens (p. 80), and by Meritt in The Athenian Year (p. 232). There is one consideration which at the time did not seem so important as it does now and which I wish to discuss here. The incentive to a reconsideration has been the observation that the sequence of ordinary and intercalary years which called for OOIOI in 299/8-295/4 rather than OIOOI at the beginning of the 8th Metonic cycle was the first apparent deviation from Meton's norm for possibly a hundred years, except for the anomaly in 307/6 which had valid and obvious historical reasons and which could be amply explained.2 I noted, as a comment on the cycles, that " the eighth cycle has only the transposition of IO to OI in the years 298/7 and 297/6." 8 Otherwise the cycle in the festival calendar of Athens followed faithfully the normal Metonic cycle of intercalation. In the text of Hesperia, IX, 1940, pp. 80-83 (13), as now restored with a stoichedon line of 29 letters, the equation reads: [. 'EA..Xa0b],8oXt'v[o] sv6 [TE&per'] [ElKa6a& Tptp&et] Ka' eiKoo-xrre[&T2q irp] [VTlavea- -] - KTX. -
The Calendars of India
The Calendars of India By Vinod K. Mishra, Ph.D. 1 Preface. 4 1. Introduction 5 2. Basic Astronomy behind the Calendars 8 2.1 Different Kinds of Days 8 2.2 Different Kinds of Months 9 2.2.1 Synodic Month 9 2.2.2 Sidereal Month 11 2.2.3 Anomalistic Month 12 2.2.4 Draconic Month 13 2.2.5 Tropical Month 15 2.2.6 Other Lunar Periodicities 15 2.3 Different Kinds of Years 16 2.3.1 Lunar Year 17 2.3.2 Tropical Year 18 2.3.3 Siderial Year 19 2.3.4 Anomalistic Year 19 2.4 Precession of Equinoxes 19 2.5 Nutation 21 2.6 Planetary Motions 22 3. Types of Calendars 22 3.1 Lunar Calendar: Structure 23 3.2 Lunar Calendar: Example 24 3.3 Solar Calendar: Structure 26 3.4 Solar Calendar: Examples 27 3.4.1 Julian Calendar 27 3.4.2 Gregorian Calendar 28 3.4.3 Pre-Islamic Egyptian Calendar 30 3.4.4 Iranian Calendar 31 3.5 Lunisolar calendars: Structure 32 3.5.1 Method of Cycles 32 3.5.2 Improvements over Metonic Cycle 34 3.5.3 A Mathematical Model for Intercalation 34 3.5.3 Intercalation in India 35 3.6 Lunisolar Calendars: Examples 36 3.6.1 Chinese Lunisolar Year 36 3.6.2 Pre-Christian Greek Lunisolar Year 37 3.6.3 Jewish Lunisolar Year 38 3.7 Non-Astronomical Calendars 38 4. Indian Calendars 42 4.1 Traditional (Siderial Solar) 42 4.2 National Reformed (Tropical Solar) 49 4.3 The Nānakshāhī Calendar (Tropical Solar) 51 4.5 Traditional Lunisolar Year 52 4.5 Traditional Lunisolar Year (vaisnava) 58 5. -
Rapid and Significant Sea-Level Rise Expected If Global Warming Exceeds 2 °C, with Global Variation
Rapid and significant sea-level rise expected if global warming exceeds 2 °C, with global variation 06 April 2017 Issue 486 The world could experience the highest ever global sea-level rise in the Subscribe to free history of human civilisation if global temperature rises exceed 2 °C, predicts weekly News Alert a new study. Under current carbon-emission rates, this temperature rise will occur around the middle of this century, with damaging effects on coastal businesses and Source: Jevrejeva, S., ecosystems, while also triggering major human migration from low-lying areas. Global Jackson, L.P., Riva, R.E.M., sea-level rise will not be uniform, and will differ for different points of the globe. Grinsted, A. and Moore, J.C. (2016). Coastal sea level Sea-level rise is one of the biggest hazards of climate change. It threatens coastal rise with warming above populations, economic activity in maritime cities and fragile ecosystems. Because sea-level 2 °C. Proceedings of the rise is a delayed and complex response to past temperatures, sea levels will continue to National Academy of climb for centuries into the future, even after concentrations of greenhouse gases in the Sciences, 113(47): 13342– atmosphere have been stabilised. 13347. DOI: 10.1073/pnas.1605312113. This study, partly conducted under the EU RISES-AM project1, projected sea-level rise Contact: around the world under global warming of 2 °C (widely considered to be the threshold for [email protected] or john.m dangerous climate change), 4 °C, and 5 °C, compared with pre-industrial temperatures. This [email protected] was achieved by combining the results of 5 000 simulations of future sea level at each point on the globe, using 33 different climate models. -
Metonic Moon Cycle – Meton Was a 5Th Century BC Greek Mathematician, Astronomer, and Engineer Known for His Work with the 19-Year "Metonic Cycle“
by Cayelin K Castell www.cayelincastell.com www.shamanicastrology.com The synodic cycle of the Moon or angular relationship with the Sun is the basic understanding of the other synodic cycles. Dane Rudhyar states in his book The Lunation Cycle that every whole is part of a bigger whole… Or is a Hologram The cyclic relationship of the Moon to the Sun produces the lunation cycle; and every moment of the month and day can be characterized significantly by its position within this lunation cycle. Dane Rudhyar The Lunation Cycle The Moon Phases occur due to the relationship of the Sun, Moon and Earth as seen from the Earth’s perspective. Eight Phases of the Moon New Moon Traditional Phase 0-44 degrees. Shamanic Phase 345 to 29 degrees -exact at Zero Degrees. Waxing Crescent Moon Traditional Phase 45-89 Shamanic Phase 30-74 degrees - exact at 60 degrees First Quarter Moon Traditional Phase 90-134 degrees Shamanic Phase 75-119 degrees - exact at 90 degrees Waxing Gibbous Moon Traditional Phase 135-179 Shamanic Phase 120-164 degrees - exact at 135 degrees Full Moon Traditional Phase 180-224 degrees Shamanic Phase 165-209 degrees – exact at 180 degrees Disseminating Moon Traditionally 225-269 degrees Shamanic 210-254 degrees - exact at 210 degrees Last Quarter Moon Traditionally 270-314 Shamanic 255-299 degrees - exact at 270 degrees Balsamic Moon Traditional phase 315-360 Shamanic Phase 300-345 degrees - exact at 315 degrees The Ancient System of the Hawaiian Moon Calendar and other cultures are based on direct observation. The Moon Phases are determined by what is actually seen from a specific location night to night. -
Dicionarioct.Pdf
McGraw-Hill Dictionary of Earth Science Second Edition McGraw-Hill New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto Copyright © 2003 by The McGraw-Hill Companies, Inc. All rights reserved. Manufactured in the United States of America. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be repro- duced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. 0-07-141798-2 The material in this eBook also appears in the print version of this title: 0-07-141045-7 All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. McGraw-Hill eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate training programs. For more information, please contact George Hoare, Special Sales, at [email protected] or (212) 904-4069. TERMS OF USE This is a copyrighted work and The McGraw-Hill Companies, Inc. (“McGraw- Hill”) and its licensors reserve all rights in and to the work. Use of this work is subject to these terms. Except as permitted under the Copyright Act of 1976 and the right to store and retrieve one copy of the work, you may not decom- pile, disassemble, reverse engineer, reproduce, modify, create derivative works based upon, transmit, distribute, disseminate, sell, publish or sublicense the work or any part of it without McGraw-Hill’s prior consent. -
Analyses of Altimetry Errors Using Argo and GRACE Data
1 Analyses of altimetry errors using Argo and GRACE data 2 J.-F. Legeais1, P. Prandi1, S. Guinehut1 3 1 Collecte Localisation Satellites, Parc Technologique du canal, 8-10 rue Hermès, 31520 Ramonville 4 Saint-Agne, France 5 Correspondence to : J.-F. Legeais ([email protected]) 6 Abstract. 7 This study presents the evaluation of the performances of satellite altimeter missions by comparing the altimeter 8 sea surface heights with in-situ dynamic heights derived from vertical temperature and salinity profiles measured 9 by Argo floats. The two objectives of this approach are the detection of altimeter drift and the estimation of the 10 impact of new altimeter standards that requires an independent reference. This external assessment method 11 contributes to altimeter Cal/Val analyses that cover a wide range of activities. Among them, several examples 12 are given to illustrate the usefulness of this approach, separating the analyses of the long-term evolution of the 13 mean sea level and its variability, at global and regional scales and results obtained via relative and absolute 14 comparisons. The latter requires the use of the ocean mass contribution to the sea level derived from GRACE 15 measurements. Our analyses cover the estimation of the global mean sea level trend, the validation of multi- 16 missions altimeter products as well as the assessment of orbit solutions. 17 Even if this approach contributes to the altimeter quality assessment, the differences between two versions of 18 altimeter standards are getting smaller and smaller and it is thus more difficult to detect their impact. It is 19 therefore essential to characterize the errors of the method, which is illustrated with the results of sensitivity 20 analyses to different parameters. -
2019 Ocean Surface Topography Science Team Meeting Convene
2019 Ocean Surface Topography Science Team Meeting Convene Chicago 16 West Adams Street, Chicago, IL 60603 Monday, October 21 2019 - Friday, October 25 2019 The 2019 Ocean Surface Topography Meeting will occur 21-25 October 2019 and will include a variety of science and technical splinters. These will include a special splinter on the Future of Altimetry (chaired by the Project Scientists), a splinter on Coastal Altimetry, and a splinter on the recently launched CFOSAT. In anticipation of the launch of Jason-CS/Sentinel-6A approximately 1 year after this meeting, abstracts that support this upcoming mission are highly encouraged. Abstracts Book 1 / 259 Abstract list 2 / 259 Keynote/invited OSTST Opening Plenary Session Mon, Oct 21 2019, 09:00 - 12:35 - The Forum 12:00 - 12:20: How accurate is accurate enough?: Benoit Meyssignac 12:20 - 12:35: Engaging the Public in Addressing Climate Change: Patricia Ward Science Keynotes Session Mon, Oct 21 2019, 14:00 - 15:45 - The Forum 14:00 - 14:25: Does the large-scale ocean circulation drive coastal sea level changes in the North Atlantic?: Denis Volkov et al. 14:25 - 14:50: Marine heat waves in eastern boundary upwelling systems: the roles of oceanic advection, wind, and air-sea heat fluxes in the Benguela system, and contrasts to other systems: Melanie R. Fewings et al. 14:50 - 15:15: Surface Films: Is it possible to detect them using Ku/C band sigmaO relationship: Jean Tournadre et al. 15:15 - 15:40: Sea Level Anomaly from a multi-altimeter combination in the ice covered Southern Ocean: Matthis Auger et al.