Book IV. Of the theory of universal gravitation. Book V. Abridgment of the history of astronomyRichard Phillips, Bridge Street, Blackfriars. ... W. Flint, printer, Old Bailey., 1809 - 380 pages |
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Page 45
... excentricity , and little incli- ned to each other ; their secular inequalities will be periodic , and contained within nar- row limits , so that the planetary system will only oscillate about a mean state , from which it will deviate ...
... excentricity , and little incli- ned to each other ; their secular inequalities will be periodic , and contained within nar- row limits , so that the planetary system will only oscillate about a mean state , from which it will deviate ...
Page 80
... excentricity , its inclination to a fixed plane , and the posi- tion of its nodes and of its perihelion are incessantly changing . It must also be considered , that the action of the Sun up- on the Moon diminishes by , its angular ...
... excentricity , its inclination to a fixed plane , and the posi- tion of its nodes and of its perihelion are incessantly changing . It must also be considered , that the action of the Sun up- on the Moon diminishes by , its angular ...
Page 81
... excentricity of this orbit ; the expression of the diminution of the angular velocity of the Moon , con- tains therefore a term equal to the 179th part of this velocity multiplied by three times half the square of this excentricity , or ...
... excentricity of this orbit ; the expression of the diminution of the angular velocity of the Moon , con- tains therefore a term equal to the 179th part of this velocity multiplied by three times half the square of this excentricity , or ...
Page 82
... excentricity of the terrestrial orbit diminishes 0.0000015325 , half the greater axis being taken as unity , the cor- responding increase in the angular velo- city , of the moon is therefore 0.000000012 8425 of this velocity : this ...
... excentricity of the terrestrial orbit diminishes 0.0000015325 , half the greater axis being taken as unity , the cor- responding increase in the angular velo- city , of the moon is therefore 0.000000012 8425 of this velocity : this ...
Page 83
... excentricity of the terrestrial orbit may be supposed proportional to the time , the secular equation of the Moon will in- crease sensibly as the square of the times ; it would be sufficient therefore to multiply 34 " 337 by the square ...
... excentricity of the terrestrial orbit may be supposed proportional to the time , the secular equation of the Moon will in- crease sensibly as the square of the times ; it would be sufficient therefore to multiply 34 " 337 by the square ...
Common terms and phrases
Almagest analysis ancient astronomy atmosphere attractive force augment cause celestial bodies centre of gravity centrifugal force century CHAP circumference comets consider cosine cube density determined diminished diminution direction discoveries distance Earth elliptic elliptic motion embouchure epoch equa equal equilibrium equinoxes excentricity existence fluid force of gravity geometrician Hipparchus hypothesis inclination inequalities insensible Jupiter Kepler length libration longitude lunar orbit lunar tide mass mean motions meridian Moon motion of rotation mutual action nature nearly Newton nodes nutation observations ocean oscillations parallax particles pendulum perigee perihelion perijoves period pheno phenomena planetary planetary orbits planets poles precession principle produce proportional Ptolemy quadratures quantity radii radius vector ratio result retardation retrograde motion revolution ring round the Sun satellites Saturn secular equation sensible shewn sidereal sine solar tide sphere spheroid square stars strata Sun and Moon suppose surface sysygies tance terrestrial orbit theory tion universal gravitation variations vations velocity
Popular passages
Page 340 - Considering it with attention, we are astonished to see all the planets move round the Sun from west to east, and nearly in the same plane, all the satellites moving round their respective planets in the same direction, and nearly in the same plane with the planets.
Page 234 - I differ in opinion from a learned and illustrious astronomer, who, after having honoured his career by labours useful both to science and humanity, perished a victim to the most sanguinary tyranny, opposing the calmness and dignity of virtue, to the revilings of an infatuated people, who wantonly prolonged the last agonies of his existence.
Page 357 - Seduced by the illusions of the senses, and of self. love, man considered himself for a long time as the centre of the motion of the celestial bodies, and his pride was justly punished by the vain terrors they inspired. The labour of many ages has at length withdrawn the veil which covered the system. Man appears...
Page 84 - ... that the mean longitude of the first satellite, minus three times that of the second, plus twice that of the third, is always equal to two right angles.
Page 326 - ... combined action of the Sun and Earth on this satellite. But with the exception of what concerns the elliptic motion of the planets and comets, the attraction of spherical bodies, and the intensity of gravity at the surface of the Sun, and of those planets that are accompanied by satellites, all 342 these discoveries were only sketched by Newton.
Page 347 - From a consideration of the planetary motions, we are therefore brought to the conclusion, that in consequence of an excessive heat, the solar atmosphere originally extended beyond the orbits of all the planets, and that it has successively contracted itself within its present limits.
Page 343 - ... to the ecliptic, we find that the mean inclination of the orbits of all the observed comets, approaches near to 100°, which would be the case if the bodies had been projected at random.
Page 324 - He extended this proposition afterwards by analogy, to all the celestial bodies, and established as a principle, that all particles of matter attract each other directly as their mass, and inversely as the square of their distance.
Page 50 - It is easy to represent the effect of such a shock upon the Earth — the axis and motion of rotation changed — the waters abandoning their ancient position to precipitate themselves towards the new equator — the greater part of men and animals drowned in a universal deluge, or destroyed by the violence of the shock given to the terrestrial globe — whole species destroyed — all the monuments of human industry reversed — such are the effects which the shock of a comet would produce." " We...
Page 234 - The Indian tables indicate a knowledge of astronomy considerably advanced, but every thing shews that it is not of an extremely remote antiquity. And here, with regret, I differ in opinion from a learned and illustrious astronomer, whose fate is a terrible proof of the inconstancy of popular favour, who, after having honoured his career by labours useful both to science and humanity, perished a victim to the most sanguinary tyranny, opposing the calmness and dignity of virtue, to the revilings of...