An Introduction to Celestial MechanicsMacmillan, 1914 - 437 pàgines |
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Altres edicions - Mostra-ho tot
Frases i termes més freqüents
a₁ acceleration angle approximate astronomers axes becomes C₁ Celestial Mechanics center of mass coefficients comet components of attraction computed conic conic section coördinates cos² curves defined derivatives determined differential equations direction distance dt dt earth eccentric anomaly eccentricity elements ellipse ellipsoid equal expression exterior particle finite bodies follows force varies function given Hence infinitesimal body inversely Kepler's equation line of apsides m₁ m₂ major axis method moon motion moves na² nodes normal component observations orbit origin p₁ perigee perihelion period perturbations plane polar coördinates positive power series problem r₁ r₂ radius respect right member rotation second order sin² solution sphere spherical spheroid substituting Suppose surface t₁ t₂ tangential component Three Bodies u₁ values variables velocity zero θα
Passatges populars
Pàgina 152 - The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun.
Pàgina 3 - Every body continues in its state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by forces impressed upon it.
Pàgina 3 - Change of motion is proportional to the impressed force, and takes place in the direction of the straight line in which the force acts.
Pàgina 363 - made his head ache and kept him awake so often that he would think of it no more.
Pàgina 3 - III. To every action there is an equal and opposite reaction; or, the mutual actions of two bodies are always equal and oppositely directed.
Pàgina 345 - ... around that of the ecliptic, and the pole of the equator around the pole of the ecliptic, and constantly at a distance equal to the inclination of the two circles. To transfer our conceptions to the celestial sphere, we may easily see that the axis of the diurnal sphere (that of the earth produced...
Pàgina 46 - ... as the differences increase. Theoretically, in all gases the range of the values of the velocities is from zero to infinity, although the extreme cases occur at infinitely rare intervals compared to the others. Under constant pressure the velocities are directly proportional to the square root of the absolute temperature, and inversely proportional to the square root of the molecular weight. Since in all gases all velocities exist, some of the molecules of the gaseous envelopes of the heavenly...
Pàgina 345 - They communicate this tendency to the whole earth so that the plane of the earth's equator turns in the retrograde direction on the plane of the ecliptic. On the other hand, it follows from the symmetry of the figure with respect to the nodes of the orbits of the particles of the equatorial ring, that there will be no change in the inclination of the plane of the equator to that of the ecliptic or the moon's orbit. The mass moved is so great, and the forces acting are so small, that this retrograde...
Pàgina 4 - ... upon it. LAW II. The rate of change of motion is proportional to the force impressed, and takes place in the direction of the straight line in which the force acts.
Pàgina 92 - UJ.= -h2.^and the equation of the orbit becomes u = MO- In this case equation (34) fails. 62. Force Varying Inversely as the Square of the Distance. Suppose a particle moves under the influence of a central attraction the intensity of which varies inversely as the square of the distance ; it is required to determine its orbit when it is projected in any manner. Equation (25) is in this case -Qs d?u k2 (37) d* - h2 ~ u.
Referències a aquest llibre
Celestial Encounters: The Origins of Chaos and Stability Florin Diacu,Philip Holmes Previsualització limitada - 1999 |
Methods of Celestial Mechanics: Volume II: Application to Planetary System ... Gerhard Beutler Previsualització limitada - 2004 |