Mécanique Céleste: 1st book. On the general laws of equilibrium and motion. 2d book. On the law of universal gravitation and the motions of the centres of gravity of the heavenly bodies

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Hillard, Gray, Little, and Wilkins, 1829 - 990 páginas
One of five classic volumes of the works by the Marquis de Laplace on celestial mechanics.

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Method of finding the perturbations in a series arranged according to the powers and products
38
Method of finding the ellipticity of the orbit when the ellipsis is very excentric 842849
39
General expression of the square of the velocity 40 The point describes the curve in which
49
Recapitulation of these different results remarks on farther approximations 10351036
52
SECOND METHOD OF APPROXIMATION TO THE MOTIONS OF THE HEAVENLY BODIES 634
63
Determination of the time of the oscillations of the moving body Very small oscillations
67
the secular expressions of the excentricities and of the longitudes of the perihelia sensible
69
On the reciprocal action of material points Reaction is always equal and contrary to action
74
ON THE EQUILIBRIUM OF FLUIDS
90
GENERAL PRINCIPLES OF THE MOTION OF A SYSTEM OF BODIES
96
18
131
ON THE MOTIONS OF A SOLID BODY OF ANY FIGURE WHATEVER
143
Examination of the case where the most sensible inequalities of the mean motion occur only
147
Equations which determine the progressive and rotatory motion of the body 214234 25 26
245
ON THE DIFERENTIAL EQUATIONS OF THE MOTION OF A SYSTEM OF BODIES
261
Equations which determine this position and that of the principal axes in functions of the time
263
We also obtain an easy method of computing the integrals of differential equations by successive
320
Application of the preceding principles to the motion of a homogeneous fluid mass which has
321
Application to the motion of the sea supposing it to be disturbed from the state of equilibrium
337
Method of eliminating the arcs of a circle which occur in these approximate integrals when they
372
37
378
Method of approximation founded on the variations of the arbitrary constant quantities
497
Application of the formulas of 11 to the case where the attracting body is a cylinder whose
498
SECOND APPROXIMATION OF THE CELESTIAL MOTIONS OR THEORY OF THEIR
504
Several transformations of the differential equations of the motion of a system of bodies submitted
517
FIRST APPROXIMATION OF THE MOTIONS OF THE HEAVENLY BODIES OR THEORY
551
On the oscillations of a body which turns nearly about one of its principal axes 278 The motion
564
ON THE SECULAR INEQUALITIES OF THE MOTIONS OF THE HEAVENLY BODIES
569
In taking notice only of the first power of the disturbing force the mean motions of the planets
575
Application of the preceding principles to the motion of a material point acted upon freely
577
Integration of these equations Determination of the arbitrary constant quantities of the integral
591
Differential expressions of the secular variations of the excentricity and of the position of
602
23
607
Integration of the differential equations relative to the nodes and inclinations of the orbits
612
Differential expressions of the secular variations of the nodes and of the inclinations of
618
Investigation of the invariable plane or that upon which the sum of the masses of the bodies
630
The mean longitude of the first satellite minus three times that of the second plus twice that of
670
On the motion of a solid body about a fixed axis 287 Determination of a simple pendulum
682
Development of these equations The values of these elements are composed of two parts
685
Formulas which give these clements when the circumstances of the primitive motion are known
720
Investigation of the relation which exists between the transverse axis of the orbit the chord
729

Términos y frases comunes

angle arbitrary constant quantities attraction axis becomes body centre of gravity changing co-ordinates coefficient comet conic section corresponding cosines curve d d x d t2 deduced denote differential equations direction parallel distance divided dt dt earth ellipsis equal equilibrium evident exact differential excentricity fluid forces formula function gives hence integral longitude manner mass means motion multiplied neglecting observations obtain orbit parabola parallelopiped particle perihelion perpendicular plane preceding equation principal axes principle relative respectively second member sine spherical square stratum substituting the values suppose surface taking the differential tang variable quantities variation velocity whence

Información bibliográfica

TítuloMécanique Céleste: 1st book. On the general laws of equilibrium and motion. 2d book. On the law of universal gravitation and the motions of the centres of gravity of the heavenly bodies
Manuscripta; History of science, 18th and 19th century
Volumen 1 de Mécanique Céleste, Nathaniel Bowditch
AutorPierre Simon marquis de Laplace
Traducido porNathaniel Bowditch, Nathaniel Ingersoll Bowditch
ColaboradorNathaniel Bowditch
EditorHillard, Gray, Little, and Wilkins, 1829
Procedencia del originalUniversidad de Harvard
Digitalizado27 Nov 2007
N.º de páginas990 páginas
  
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