Milutin Milanković

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Milutin Milanković
Милутин Миланковић
Insolation
  • Milankovitch cycles
    • Scientific career
    Fields
    Thesis Beitrag zur Theorie der Druck-kurven  (1904)
    Signature

    Milutin Milanković (sometimes

    popularizer of science
    .

    Milanković gave two fundamental contributions to global science. The first contribution is the "Canon of the Earth's

    climate changes caused by changes in the position of the Earth in comparison to the Sun, now known as Milankovitch cycles. This partly explained the ice ages
    occurring in the geological past of the Earth, as well as the climate changes on the Earth which can be expected in the future.

    He founded planetary climatology by calculating temperatures of the upper layers of the Earth's atmosphere as well as the temperature conditions on planets of the inner Solar System,

    exact ones
    .

    A distinguished professor of applied mathematics and celestial mechanics at the University of Belgrade,[2] Milanković was a director of the Belgrade Observatory, member of the Commission 7 for celestial mechanics of the International Astronomical Union and vice-president of Serbian Academy of Sciences and Arts.[3] Beginning his career as a construction engineer, he retained an interest in construction throughout his life, and worked as a structural engineer and supervisor on a series of reinforced concrete constructions throughout Yugoslavia. He registered multiple patents related to this area.[3]

    Life

    Early life

    The house in Dalj in which Milanković was born today houses the Cultural and Scientific Center "Milutin Milanković"

    Milutin Milanković was born in the village of

    Austro-Hungarian Empire. Milutin and his twin sister were the oldest of seven children raised in a Serb family. Their father was a merchant, landlord, and a local politician who died when Milutin was eight. As a result, Milutin and his siblings were raised by his mother, grandmother, and an uncle. His three brothers died of tuberculosis at a young age. As his health was fickle, Milutin received his elementary education at home (in "the classroom without walls"), learning from his father Milan, private teachers, and from numerous relatives and friends of the family, some of whom were renowned philosophers, inventors, and poets. He attended secondary school in nearby Osijek
    , completing it in 1896.

    Milanković as a student

    In October 1896, at the age of seventeen, he moved to

    PhD thesis was entitled Contribution to the Theory of Pressure Curves (Beitrag zur Theorie der Druckkurven) and its implementation allowed assessment of pressure curves' shape and properties when continuous pressure is applied, which is very useful in bridge, cupola and abutment construction.[4] His thesis was successfully defended on 12 December 1904; examination committee members were Johann Emanuel Brik, Josef Finger, Emanuel Czuber and Ludwig von Tetmajer
    . He then worked for an engineering firm in Vienna, using his knowledge to design structures.

    Middle years

    Structural engineering

    At the beginning of 1905, Milanković took up practical work and joined the firm of Adolf Baron Pittel Betonbau-Unternehmung in Vienna. He built dams, bridges, viaducts, aqueducts, and other structures in reinforced concrete throughout Austria-Hungary. The result was particularly evident in the extraordinary design[clarification needed] of a reinforced-concrete aqueduct for a hydroelectric power plant in Sebeș, Transylvania, which Milanković designed at the beginning of his career.

    He patented a new type of reinforced concrete ribbed ceiling and published the first paper on armored concrete, titled "Contribution to the theory of reinforced armored pillars". He published the second paper on the same subject based on new results in 1906. In 1908, he published a paper titled "On membranes of same opposition" in which he proves that the ideal shape for a water reservoir of equally thick walls is that of a drop of water.[5] His six patents were officially recognized and his reputation in the profession was enormous, bringing abundant financial wealth.

    Milanković continued to practice civil engineering in Vienna until 1 October 1909 when he was received an offer

    Applied Mathematics that comprised three basic branches: rational, celestial mechanics, and theoretical physics
    . Though he continued to pursue his investigations of various problems pertaining to the application of reinforced concrete, he decided to concentrate on fundamental research.

    One of the 17 Milankovitch bridges on the railway line through the Nisevac gorge in Serbia.[6]

    Milanković continued in design and construction work when he moved to

    Timok
    Valley through the Nisevac Gorge. Milankovitch, who liked this idea very much, soon drew up structural calculations for all the bridges with reinforced concrete arches.

    Planet's insolation

    While studying the works of the contemporaneous climatologist

    Joseph Adhemar whose pioneering theory on the astronomical origins of ice ages were formally rejected by his contemporaries and James Croll whose work was effectively forgotten about even after acceptance by contemporaries such as Charles Darwin.[8][7] Despite having valuable data on the distribution of ice ages on Alps, climatologists and geologists could not discover the basic causes – that is, the different insolations of the Earth during past ages remained beyond the scope of these sciences. But Milanković decided to follow their path and attempt correctly to calculate the magnitude of such influences. Milanković sought the solution of these complex problems in the field of spherical geometry, celestial mechanics, and theoretical physics
    .

    He began working on it in 1912, after he had realized that "most of meteorology is nothing but a collection of innumerable empirical findings, mainly numerical data, with traces of physics used to explain some of them... Mathematics was even less applied, nothing more than elementary calculus... Advanced mathematics had no role in that science..." His first work described the present climate on Earth and how the

    insolation and developed a mathematical theory describing Earth's climate zones.[12]
    His aim was an integral, mathematically accurate theory which connects thermal regimes of the planets to their movement around the Sun. He wrote: "...such a theory would enable us to go beyond the range of direct observations, not only in space, but also in time... It would allow reconstruction of the Earth's climate, and also its predictions, as well as give us the first reliable data about the climate conditions on other planets."

    At the same time, the July Crisis between the Austro-Hungarian empire and Serbia broke out, which led to World War I. On 14 June 1914, Milanković married Kristina Topuzović and went on his honeymoon to his native village of Dalj in Austro-Hungary, where he heard about the beginning of the War.[13] He was arrested as a citizen of Serbia and was interned by the Austro-Hungarian army in Nezsider, Hungary (today Neusiedl am See, Austria). He described his first day in prison, where he waited to be taken to the Esseg fortress as a prisoner of war, in the following words:

    ... Sat on the bed, I looked around and started synchronizing with my new social position .... In the suitcase I had my printed works and my notes on the cosmic problem, there was clean paper too and I started writing. It was far past midnight when I stopped. I looked around the room, wondering where I was. It felt like I was in a roadhouse on my trip through the Universe.[13]

    His wife went to Vienna to talk to Emanuel Czuber, who was his mentor and a good friend. Through his social connections, Professor Czuber arranged Milanković's release from prison and permission to spend his captivity in Budapest with the right to work.

    M. Milankovitch's table of mean Martian ground and atmosphere temperatures.

    Immediately after arriving in Budapest, Milanković met the Director of the Library of the

    Hungarian Academy of Science, Kálmán Szily who, as a mathematician, eagerly accepted Milanković and enabled him to work undisturbed in the Academy's library and the Central Meteorological Institute.[14][15] Milanković spent four years in Budapest, almost the entire war.[14] He published a paper entitled "The problem of the astronomical theory of ice ages" in 1914.[16] Then he tried to find a mathematical model of a cosmic mechanism to describe the Earth's climatic and geological history. But the cosmic mechanism was not an easy problem, and Milanković took three decades to develop an astronomical theory. He used mathematical methods to study the current climate of inner planets of the solar system. In 1916 he published a paper entitled "Investigation of the climate of the planet Mars".[17][18] Milanković calculated that the average temperature in the lower layers the atmosphere on Mars is −45 °C (−49 °F) and the average surface temperature is −17 °C (1 °F). Also, he concluded that: "This large temperature difference between the ground and lower layers of the atmosphere is not unexpected. Great transparency for solar radiation makes that is the climate of Mars very similar to altitudes climate of our Earth." In any case, Milanković's work suggested that Mars has a harsh climate, and calmed mounting enthusiasm concerning the prospect of discovering the presence of liquid water on the surface of Mars.[19] In addition to considering Mars, he dealt with the climatic conditions prevailing on Venus and Mercury.[20][19] In his own words, Milankovitch did not know the speed of rotation of Venus and the orientation of the axis, so he hypothesized that it has the same speed rotation as the Earth and considered a greenhouse effect on Venus calculated a ground temperature of +97 °C (207 °F). The true period of rotation of Venus was discovered later in 1963 by Jet Propulsion Laboratory (the USA) and the first temperature measurements on the surface of Venus were made in 1970 with ″Венера 7″
    probe (the USSR). In his literaly work Through Distant Worlds and Times, he described of Venus in the following words:

    Here we are in the temple of Isis and Osiris, more magnificent than Schinkel himself imagined. From its huge dome, covered with a gently mother-of-pearl mosaic, a white mysterious light spills over the interior of this home. That dome, that's the sky of Venus. The Sun is never visible on it, only the Sun's silvery glow. Not a single star twinkles in this sky; no messenger of the universe reaches this sanctuary...What is this? A storm is raging in my head, blood vessels are beating like sledgehammers, I'm out of breath. You are pale, dear miss, your legs are wobbly - you have completely fainted... Half unconscious, I carry you, in my arms, to our Earth...

    His calculations of the temperature conditions on the neighboring Moon are particularly significant. Milankovitch knew that the moon rotates on its axis in 27.32 days, so lunar daytime on one side of the moon last about 13.5 Earth days. Milankovitch calculated that the surface temperature on the daylight side of the moon at noon reaches +100.5 °C (212.9 °F). Also, he calculated that the temperature during the early morning on the Moon, or before the rise of the Sun over horizon, was −54 °C (−65 °F).

    After World War I, Milanković returned to Belgrade with his family on 19 March 1919.[13] He continued his professorial career, becoming a full professor at the University of Belgrade. From 1912 to 1917, he wrote and published seven papers on mathematical theories of climate both on the Earth and on the other planets. He formulated a precise, numerical climatological model with the capacity for reconstruction of the past and prediction of the future, and established the astronomical theory of climate as a generalized mathematical theory of insolation. When these most important problems of the theory were solved, and a firm foundation for further work built, Milanković finished a book which was published in 1920, by the Gauthier-Villars in Paris under the title "Théorie mathématique des phénomènes thermiques produits par la radiation solaire" (Mathematical Theory of Heat Phenomena Produced by Solar Radiation).[14][21][22]

    Orbital variations and ice age cycles

    After the First World War, with the arrival of Russian scientists – emigrants, the personnel base of the Faculty of Philosophy at the University of Belgrade was expanded. Thus, from 1920 Anton Bilimovich (1879–1970), a distinguished scientist, who came from

    Odessa
    , took over the lectures on rational mechanics, and from 1925 the lectures on theoretical physics and vector theory were taken over by the newly elected assistant professor Vyacheslav Yardecki (1896–1962). Between the two wars, Milankovitch taught celestial mechanics and occasionally the theory of relativity, and after the Second World War until 1955, when he retired, he taught celestial mechanics and the history of astronomy.

    Milankovitch's works on astronomical explanations of ice ages, especially his curve of insolation for the past 130,000 years, received support from the climatologist

    solar radiation changes at geographical latitudes of 55°, 60° and 65° north for the past 650,000 years.[23] Milankovitch, in his early works used astronomical value of Stockwell-Pilgram.[16]

    These curves showed the variations in insolation which correlated with four

    Insbruck.[26]

    Mathematician’s Club in Belgrade 1926 (From left to right sitting: N. Saltikov, M. Petrović, P. Popović, B. Gavrilović, V. Petković and M. Milanković. Standing: Dr. M. Radojčić, T. Pejović, V. Žardetski, A. Bilimović, P. Zajončkovski, J. Mihailović, R. Kašanin and J. Karamata)

    Milanković put the Sun at the center of his theory, as the only source of heat and light in the Solar System. He considered three cyclical movements of the Earth:

    Milankovitch cycle.[27]

    The Serbian Academy of Sciences and Arts elected Milanković as a corresponding member in 1920; he became a full member in 1924. The Meteorological service of the Kingdom of Yugoslavia became a member of International Meteorological Organization – IMO (founded in Brussels in 1853 and in Vienna in 1873) as a predecessor of present World Meteorological Organization, WMO. Milanković served as a representative of the Kingdom of Yugoslavia there for many years.

    Between 1925 and 1928 Milanković wrote the popular-science book Through Distant Worlds and Times in the form of letters to an anonymous woman.[28] The work discusses the history of astronomy, climatology and science via a series of imaginary visits to various points in space and time by the author and his unnamed companion, encompassing the formation of the Earth, past civilizations, famous ancient and renaissance thinkers and their achievements, and the work of his contemporaries, Köppen and Wegener. In the "letters", Milanković expanded on some of his own theories on astronomy and climatology, and described the complicated problems of celestial mechanics in a simplified manner.

    Köppen proposed to Milanković on 14 December 1926 to extend his calculations to a million years and to send his results to Barthel Eberl, a geologist studying the Danube basin, as Eberl's research had unearthed some pre-Ice Ages before over 650,000 years. Eberl published all this in Augsburg in 1930 together with Milanković's curves.

    In 1927, Milanković asked his colleague and friend,

    Le Verrier method. Mišković was a well-established astronomer from the Nice Observatory, who became the head of the Astronomical Observatory of the University of Belgrade and a professor of Theoretical and Practical Astronomy.[26] After almost three years, Mišković and his staff completed the calculation of astronomical values based on the Le Verrier method and using the masses of the planets knows of that time.[29] Milanković used these values in his later works.[16] Subsequently, Milanković wrote the introductory portion of Mathematical science of climate and astronomical theory of the variations of the climate (Mathematische Klimalehre und Astronomische Theorie der Klimaschwankungen), published by Köppen (Handbook of Climatology; Handbuch der Klimalogie Band 1) in 1930 in German and translated into Russian in 1939.[16] In 1935 Milanković published the book Celestial Mechanics.[30][31]
    This textbook used
    Lagrangean-Laplacian elliptical elements to two vectors determining the mechanics of planetary movements. The first specifies the planet's orbital plane, the sense of revolution of the planet, and the orbital ellipse parameter; the second specifies the axis of the orbit in its plane and the orbital eccentricity. By applying those vectors he significantly simplified the calculation and directly obtained all the formulas of the classical theory of secular perturbations
    . Milanković, in a simple but original manner, first deduced Newton's law of gravitation from Kepler's laws. Then Milanković treated the two-body and the many-body problems of celestial mechanics.

    He applied vector calculus from quantum mechanics to celestial mechanics.[33]

    Meanwhile, in 1936 he attended the Third symposium of the International Union for Quaternary Research (INQUA) in Vienna.[26]

    In the period from 1935 to 1938 Milanković calculated that ice cover depended on changes in insolation. He succeeded in defining the mathematical relationship between summer insolation and the altitude of the snow line.[16] In this way he defined the increase of snow which would occur as a consequence of any given change in summer insolation. He published his results in the study "New Results of the Astronomic Theory of Climate Changes" in 1938.[16] Geologists received a graph for presenting bordering altitudes of ice covers any period of time during the last 600,000 years. André Berger and Jacques Laskar later developed this theory further.

    Polar wandering

    Main article: Paleomagnetism
    Coal mining in Svalbard on 1908

    Conversations with Wegener, the author of continental drift theory, got Milanković interested in the interior of the Earth and the movement of the poles, so he told his friend that he would investigate polar wandering. In November 1929, Milanković received an invitation from Professor Beno Gutenberg of Darmstadt to collaborate on a ten volume handbook on geophysics and to publish his views on the problem of the secular variations of the Earth's rotational poles. Wegener presented extensive empirical evidence in his scientific work on the 'great events' during the Earth's past. However, one of the main findings that especially preoccupied Wegener and then Milankovitch was the discovery of big coal reserves on the Svalbard Islands, in the Arctic Ocean, which could not form at the present latitude of these islands. In the meantime, Wegener died (from hypothermia or heart failure) in November 1930 during his fourth expedition to Greenland. Milanković became convinced that the continents 'float' on a somewhat fluid subsurface and that the positions of the continents with respect to the axis of rotation affect the centrifugal force of the rotation and can throw the axis off balance and force it to move.[34] Wegener's tragedy additionally motivated Milankovich to persevere in solving the problem of polar wandering.

    In the period from 1930 to 1933, Milankovitch worked on the problem of numerical secular rotation pole movements. The Earth as a whole he considered as a

    elastic body. Using vector analysis he made a mathematical model of the Earth to create a theory of secular motion of the terrestrial poles. He derived the equation of secular trajectory of a terrestrial pole and also the equation of pole motion along this trajectory. The equations further led to a determination of the 25 most characteristic points with pole trajectories for both hemispheres. This mathematical calculation led Milanković to 16 important points from the past that form parts of early explorations; 8 points triggered future explorations. He drew a map of the path of the poles over the past 300 million years and stated that changes happen in the interval of 5 million years (minimum) to 30 million years (maximum).[35] He found that the secular pole trajectory depends only on the configuration of the terrestrial outer shell and the instantaneous pole position on it, more precisely on geometry of the Earth mass. On this basis he could calculate the secular pole trajectory. Also, based on Milanković's model, the continental blocks sink into their underlying "fluidal" base, and slide around, 'aiming to achieve' isostatic equilibrium
    . In his conclusion about this problem, he wrote: For an extraterrestrial observer, the displacement of the pole takes place in such a way that the ... Earth's axis maintains its orientation in space, but the Earth's crust is displaced on its substratum. Milankovitch published his paper on the subject entitled "Numerical trajectory of secular changes of pole’s rotation" in Belgrade in 1932.

    At the same time, Milanković wrote four sections of Beno Gutenberg's "Handbook of Geophysics" (Handbuch der Geophysik) – "The Earth's Position and Movement in Space", "Rotational Movement of the Earth", "Secular shift of the Poles", and "Astronomic Means for Climate Study during the Earth's history" – published by Wegener's father-in-law Köppen in 1933. The lecture on the apparent shift of poles was held at a congress of Balkan mathematicians in Athens in 1934. That same year, Milanković published an article dedicated to the work Alfred Wegener under titled "Moving of the Earth's Poles – A Memory to Alfred Wegener".

    Milankovitch's work on the trajectory of poles was well accepted only by Köppen's associates, because most of the scientific community was skeptical about Wegener and Milankovic's new theories. Later, in the 1950s and 1960s, development of the new scientific discipline in

    linear trajectory of poles, palaeomagnetism reconstructed the path of the poles over geological history to show the nonlinear
    trajectory.

    Later life

    To collect his scientific work on the theory of solar radiation that was scattered in many books and papers, Milanković began his life's work in 1939.[36][29] This tome was entitled "Canon of Insolation of the Earth and Its Application to the Problem of the Ice Ages", which covered his nearly three decades of research, including a large number of formulas, calculations and schemes, but also summarized universal laws through which it was possible to explain cyclical climate change – his namesake Milankovitch cycles.[37]

    Milanković spent two years arranging and writing the "Canon". The manuscript was submitted to print on 2 April 1941 – four days before the

    Freiburg
    . Milanković gave them the only complete printed copy of the "Canon" to send to Soergel, to make certain that his work would be preserved. Milanković did not take part in the work of the university during the occupation, and after the war he was reinstated as professor.

    The "Canon" was issued in 1941[38] by the Royal Serbian Academy, 626 pages in quarto, and was printed in German as "Kanon der Erdbestrahlung und seine Anwendung auf das Eiszeitenproblem".[38] The titles of the six parts of the book are:

    1. "The planets' motion around the Sun and their mutual perturbations"
    2. "The rotation of the Earth"
    3. "Secular wanderings of the rotational poles of the Earth"
    4. "The Earth's insolation and its secular changes"
    5. "The connection between insolation and the temperature of the Earth and its atmosphere. The mathematical climate of the Earth"
    6. "The ice age, its mechanism, structure and chronology".

    During the German occupation of Serbia from 1941 to 1944, Milanković withdrew from public life and decided to write a "history of his life and work" going beyond scientific matters, including his personal life and the love of his father who died in his youth. His autobiography would be published after the war, entitled "Recollection, Experiences and Vision" in Belgrade in 1952.[39]

    History of science

    After the war, in 1947, Milanković's only son emigrated from the new communist

    Halle, Saxony-Anhalt
    .

    At the same time, Milankovitch began publishing numerous books and

    textbooks
    on the history of science, including Isaac Newton and Newton's Principia (1946), The founders of the natural science Pythagoras – Democritus – Aristotle – Archimedes (1947), History of astronomy – from its beginnings up to 1727 (1948), Through empire of science – images from the lives of great scientists (1950), Twenty-two centuries of Chemistry (1953), and Technology in Ancient times (1955).

    In 1955, Milankovitch retired from the position of professor of celestial mechanics and the history of astronomy at the University of Belgrade. In the same year, he publishes his last work, which is not from the natural sciences, but from his original profession of structural engineering. The paper was titled The Tower of Babel of modern technology. Milankovitch in this work calculated the highest building possible on our Earth. He was inspired by work of Pieter Bruegel the Elder's Tower of Babel (older version in Vienna). The building would have a base radius of 112.84 km and a height of 21646 m. Since the building penetrates the Earth 1.4 km, it would have a height of 20.25 km above the Earth's surface. At the very top, there would be a wide platform for a meteorological and astronomical station.

    In September 1957, Milutin suffered a stroke and died in Belgrade in 1958.[43] He is buried in his family cemetery in Dalj.[citation needed]

    Legacy

    Monument to Milanković in Belgrade.

    After Milanković's death, most of the scientific community came to dispute his "astronomical theory" and no longer recognized the results of his research. But ten years after his death and fifty years from the first publication, Milanković's theory was again taken under consideration. His book was translated into English under the title "Canon of Insolation of the Ice-Age Problem" in 1969 by the

    U.S. Department of Commerce and the National Science Foundation in Washington, D.C.[44]

    In the beginning, recognition came slowly, but later, the theory was proven to be accurate. Project

    CLIMAP
    (Climate: Long Range Investigation, Mapping and Production) finally resolved the dispute and proved the theory of Milankovitch cycles. In 1972, scientists compiled a time scale of climatic events in the past 700,000 years from deep-sea cores. They performed the analysis of the cores and four years later, came to the conclusion that in the past 500,000 years, climate has changed depending on the
    precession.[45] In 1988, a new major project COHMAP
    (Cooperative Holocene Mapping Project) reconstructed the patterns of global climate change over the last 18,000 years, again demonstrating the key role of astronomical factors.
    SPECMAP (Spectral Mapping Project), showed that the climate changes are responses to changes in solar radiation of each of the three astronomical cycles.[47]

    In 1999, it was shown that variations in the isotopic composition of oxygen in the sediments at the bottom of the ocean follow Milankovitch theory.[48][49] There are other recent studies that indicate the validity of the original Milankovitch theory.[50] Although orbital forcing of Earth's climate is well accepted, the details of how orbitally-induced changes in insolation affect climate are debated.[citation needed]

    On the speed of light

    Milanković authored two papers on relativity. He wrote his first paper "On the theory of Michelson's experiment" in 1924. He was doing research in this theory from 1912. His papers on this matter were on special relativity and both are on the Michelson experiment (now known as the

    special theory of relativity, that the speed of light is the same in every reference frame.[51]

    Revised Julian calendar

    Main article: Revised Julian calendar

    Milanković proposed a revised Julian calendar in 1923.

    Eastern Orthodox churches adopted the calendar;[55][56] however, only the removal of 1–13 October 1923 and the revised leap year algorithm were adopted by a number of Eastern Orthodox churches. The dates of Easter and related holy days are still computed using the Julian calendar. At the time of Milanković's proposal, it was suspected the period of rotation of Earth might not be constant, but it was not until the development of quartz and atomic clocks beginning in the 1930s that this could be proven and quantified.[57] The variation in the period of rotation of Earth is the chief cause of long-term inaccuracy in both the Gregorian and Revised Julian calendars.[58]

    Awards and honors

    Milanković on a 2019 stamp of Serbia.

    On June 25, 1923 he was conferred the

    a crater on Mars at the 15th IAU General Assembly in 1973. Since 1993 the Milutin Milankovic Medal has been awarded by the European Geophysical Society (called the EGU
    since 2003) for contributions in the area of long-term climate and modeling.
    main belt asteroid discovered in 1936 has also been dubbed 1605 Milankovitch. At NASA, in their edition of "On the Shoulders of Giants", Milanković has been ranked among the top fifteen minds of all time in the field of earth sciences.[61]

    Interesting facts

    Milankovitch was a great admirer of Nikola Tesla. On behalf of five academics, Milutin Milankovitch wrote a recommendation that Nikola Tesla be elected a full member of the Royal Serbian Academy, which was done at a ceremonial meeting on March 7, 1937.[62]

    Selected works

    • Théorie mathématique des phénomènes thermiques produits par la radiation solaire, XVI, 338 S. – Paris: Gauthier-Villars, 1920
    • Reforma julijanskog kalendara. Srpska Kr. Akad. Pos. Izda’na 47: 52 S., Beograd: Sv. Sava, 1923
    • Mathematische Klimalehre und astronomische Theorie der Klimaschwankungen. In: Köppen, W.; Geiger R. (Hrsg.): Handbuch der Klimatologie, Bd. 1: Allgemeine Klimalehre, Berlin: Borntraeger, 1930
    • Mathematische Klimalehre. In: Gutenberg, B. (Hrsg.) Handbuch der Geophysik, Berlin: Borntraeger, 1933
    • Durch ferne Welten und Zeiten, Briefe eines Weltallbummlers. 389 S. – Leipzig: Koehler & Amelang, 1936
    • Kanon der Erdbestrahlung und seine Anwendung auf das Eiszeitenproblem. Académie royale serbe. Éditions speciales; 132 [vielm. 133]: XX, 633, Belgrad, 1941
    • Canon of insolation and the ice-age problem. English translation by the Israel Program for Scientific Translations, published for the U.S. Department of Commerce and National Science Foundation, Washington, D.C.: 633 S., 1969
    • Canon of Insolation and the Ice-Age Problem. Pantic, N. (Hrsg.), Beograd: Zavod Nastavna Sredstva, 634 S., 1998

    See also

    References

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    3. ^ a b "Ko je bio Milutin Milanković, jedan od najvećih umova svih vremena".
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    17. ^ Read, Peter L. (2013). "Milankovitch on Mars: observing and modeling astronomically - induced climate change" (PDF). Atmospheric, Oceanic & Planetary Physics, University of Oxford.
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    24. ^ Thiede, Jörn (2018). "Wladimir Köppen, Alfred Wegener and Milutin Milankovitch: their Impact on modern paleoclimate research and revival of the Milankovitch hypothesis" (PDF). Vestnik of St Petersburg University. 63 (2): 230–250.
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    External links

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