scholarly journals Classroom Activity: Kepler's Laws of Planetary Motion

1998 ◽  
Vol 162 ◽  
pp. 306-311
Author(s):  
Y. Tsubota

This activity was originally developed by a group of teachers in Japan during 1960s under the influence of the American Curriculum-Reform Movement. This was used in Earth Sciences in order to develop the students’ cognitive skill. Kepler had been trying to analyze Tycho's observations of Mars, fitting them into the Copernican orbital system. It simply would not work. The problem is with the circular orbit that the Copernican system still used. Mars obviously did not have a circular orbit about the Sun. So Kepler tried a variety of other geometrical shapes, until he finally found the ellipse.

Author(s):  
William Lowrie

Two important physical laws determine the behaviour of the Earth as a planet and the relationship between the Sun and its planets: the law of conservation of energy and the law of conservation of angular momentum. ‘Planet Earth’ explains these laws along with the ‘Big Bang’ theory that describes the formation of the solar system: the Sun; the eight planets divided into the inner, terrestrial planets (Mercury, Venus, the Earth, and Mars) and the outer, giant planets (Jupiter, Saturn, Uranus, and Neptune); and the Trans-Neptunian objects that lie beyond Neptune. Kepler’s laws of planetary motion, the Chandler wobble, the effects of the Moon and Jupiter on the Earth’s rotation, and the Milankovitch cycles of climatic variation are also discussed.


Author(s):  
V. Bakış ◽  
H. Bakış ◽  
Z. Eker

AbstractPhysical dimensions and evolutionary status of the A-type twin binary GSC 4019 3345 are presented. Located at a distance of ~1.1 kpc from the Sun, the system was found to have two components with identical masses (M1,2 = 1.92 M⊙), radii (R1,2 = 1.76 R⊙), and luminosities (log L1,2 = 1.1 L⊙) revolving in a circular orbit. Modeling the components with theoretical evolutionary tracks and isochrones implies a young age (t = 280 Myr) for the system, which is bigger than the synchronization time scale but smaller than the circularization time scale. Nevertheless, synthetic spectrum models revealed components’ rotation velocity of Vrot12 = 70 km s−1, that is about three times higher than their synchronization velocity. No evidence is found for an age difference between the components.


1912 ◽  
Vol 58 (242) ◽  
pp. 448-464
Author(s):  
Hubert J. Norman

If there is one fact which stands out more plainly than any other when one considers the life and work of Emanuel Swedenborg it is this—that whatever value may be attached to the writings of the later or visionary period of his life, there is no doubt they have served to obscure his eminence as a clear-sighted scientific investigator during the earlier part of his existence. That this is so can hardly be denied even by the most enthusiastic Swedenborgian, for if the average person be asked what associations the name of Swedenborg conjures up, he will at once reply that he was a man who saw visions and dreamed dreams, who said that he saw the heavens opened unto him, and who wrote an account of the same in a work entitled Heaven and Hell. A further effort of association will perchance link his name with those of Jacob Boehme, of St. Theresa, of Mahomet, and of others who have exhibited similar symptoms; but, except in rare instances, any conception of his scientific attainments even in the most meagre degree is almost non-existent. He is passed over practically without comment by most of the historians of philosophy or of psychology; and his fate has for the most part been to suffer from the uncritical eulogies of enthusiastic disciples, or from the criticism of those whose knowledge of him is limited to the later period of his life with which his mystical writings are associated. In both cases he has suffered—and the term is used advisedly even in the first instance—because scientific men have been repelled from studying one whom they have conceived as immersed in the business of describing visions of the hereafter and consequently as hardly being likely to have given much time to the concrete realities with which science should deal. Most of the discussions as to Swedenborg's place in the history of thought have centred round the later period of his life; and the mental trouble which came upon him in the midst of his scientific activities and altered the whole course of his intellectual career, sore affliction as it was during his lifetime, has not yet ceased to cling to his name, and to militate against his recognition as one of the clearest thinkers of his time, or indeed of any time. Rational psychology owes a great debt to him; like many debts it has remained long unpaid. This, too, whilst many an inferior thinker has had his wares cried in the market-place, making of real obscurity an appearance of profoundity. It is not proposed herein to deal with Swedenborg in a more comprehensive way than as a psychologist; to do more would necessitate such an acquaintance with science and with technology as but few possess. For it was Swedenborg who “introduced the calculus into Sweden. … He began the science of crystallography. He reasoned out before Franklin the identity of lightning and electricity. He anticipated Laplace in the discovery that planets and planetary motion are derived from the sun. He discovered the animation of the brain. The law of the conservation of energy seems to have been anticipated in his doctrine of action and reaction equal and necessary to life.” So says a writer in a recent authoritative work (1); and even if the claims be debatable, it is obvious than any discussion of them would but serve to obscure our more immediate purpose, which is to deal with Swedenborg as an exponent of psychology.


2010 ◽  
Vol 19 (14) ◽  
pp. 2271-2274 ◽  
Author(s):  
DON N. PAGE

Normally one thinks of the motion of the planets around the Sun as a highly classical phenomenon, so that one can neglect quantum gravity in the solar system. However, classical chaos in the planetary motion amplifies quantum uncertainties so that they become very large, giving huge quantum gravity effects. For example, evidence suggests that Uranus may eventually be ejected from the solar system, but quantum uncertainties would make the direction at which it leaves almost entirely uncertain, and the time of its exit uncertain by about one quadrillion years. For a time a quadrillion years from now, there are huge quantum uncertainties whether Uranus will be within the solar system, within the galaxy, or even within causal contact of the galaxy.


2019 ◽  
Vol 50 (1) ◽  
pp. 16-30 ◽  
Author(s):  
Christopher M. Graney

In 1614 the Jesuit astronomer Christoph Scheiner and his student, Johann Georg Locher, proposed a physical mechanism to explain how the Earth could orbit the sun. An orbit, they said, is a perpetual fall. They proposed this despite the fact that they rejected the Copernican system, citing problems with falling bodies and the sizes of stars under that system. In 1651 and again in 1680, Jesuit writers Giovanni Battista Riccioli and Athanasius Kircher, respectively, considered and rejected outright this idea of an orbit as a perpetual fall. Thus this important concept of an orbit was proposed, considered, and rejected well before Isaac Newton would use an entirely different physics to make the idea that an orbit is a perpetual fall the common way of envisioning and explaining orbits.


2020 ◽  
Vol 637 ◽  
pp. L3 ◽  
Author(s):  
Th. Rivinius ◽  
D. Baade ◽  
P. Hadrava ◽  
M. Heida ◽  
R. Klement

Several dozen optical echelle spectra demonstrate that HR 6819 is a hierarchical triple. A classical Be star is in a wide orbit with an unconstrained period around an inner 40 d binary consisting of a B3 III star and an unseen companion in a circular orbit. The radial-velocity semi-amplitude of 61.3 km s−1 of the inner star and its minimum (probable) mass of 5.0 M⊙ (6.3 ± 0.7 M⊙) imply a mass of the unseen object of ≥4.2 M⊙ (≥5.0 ± 0.4 M⊙), that is, a black hole (BH). The spectroscopic time series is stunningly similar to observations of LB-1. A similar triple-star architecture of LB-1 would reduce the mass of the BH in LB-1 from ∼70 M⊙ to a level more typical of Galactic stellar remnant BHs. The BH in HR 6819 probably is the closest known BH to the Sun, and together with LB-1, suggests a population of quiet BHs. Its embedment in a hierarchical triple structure may be of interest for models of merging double BHs or BH + neutron star binaries. Other triple stars with an outer Be star but without BH are identified; through stripping, such systems may become a source of single Be stars.


PRIMUS ◽  
1997 ◽  
Vol 7 (1) ◽  
pp. 73-88 ◽  
Author(s):  
Francisco E. Alarcón ◽  
Rebecca A. Stoudt

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