An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of NewtonMacmillan, 1853 - 103 sider |
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Side vii
... Attraction • 3 Principle of Superposition of Small Motions 6 Attractions of Spherical Bodies CHAPTER II . MOTION RELATIVE TO THE EARTH . Page 1 3 5 10 Problem of Two Bodies 8 14 Problem of Three Bodies . 11 15 Path of Centre of Gravity ...
... Attraction • 3 Principle of Superposition of Small Motions 6 Attractions of Spherical Bodies CHAPTER II . MOTION RELATIVE TO THE EARTH . Page 1 3 5 10 Problem of Two Bodies 8 14 Problem of Three Bodies . 11 15 Path of Centre of Gravity ...
Side 1
... causes . Of the last cause of deviation there is a remarkable instance in the recent discovery of the planet Neptune , for our acquaint- B ance with which as one of the bodies of our Art CHAPTER Newton's Law of Universal Attraction.
... causes . Of the last cause of deviation there is a remarkable instance in the recent discovery of the planet Neptune , for our acquaint- B ance with which as one of the bodies of our Art CHAPTER Newton's Law of Universal Attraction.
Side 4
... intended to carry the solution in the following pages , and our problem is reduced to the consideration of the three bodies , the sun , earth , and ATTRACTIONS . 5 moon , acting on one another according LUNAR THEORY .
... intended to carry the solution in the following pages , and our problem is reduced to the consideration of the three bodies , the sun , earth , and ATTRACTIONS . 5 moon , acting on one another according LUNAR THEORY .
Side 5
... attraction of one sphere on another can be correctly obtained , and leaves the question in exactly the same state as if they were particles . ( Princip . lib . 1. prop . 75 ... attraction of whole lamina Attractions of Spherical Bodies.
... attraction of one sphere on another can be correctly obtained , and leaves the question in exactly the same state as if they were particles . ( Princip . lib . 1. prop . 75 ... attraction of whole lamina Attractions of Spherical Bodies.
Side 6
... attraction of whole lamina SQ = 2rpdx ( sin 0.de Again , 2x + c − ( a− x ) " = 2ax therefore = - and attraction of lamina = - 0 2πρδα ( 1 - 2 ) ( a * — c " ) ; ( a2 zdz = adx , 1z8z = 2πρ α z2 + a2 2a2 .. attraction of whole sphere ...
... attraction of whole lamina SQ = 2rpdx ( sin 0.de Again , 2x + c − ( a− x ) " = 2ax therefore = - and attraction of lamina = - 0 2πρδα ( 1 - 2 ) ( a * — c " ) ; ( a2 zdz = adx , 1z8z = 2πρ α z2 + a2 2a2 .. attraction of whole sphere ...
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An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
Vanlige uttrykk og setninger
2e sin cpt 3m²e angle angular velocity annual equation anomaly apogee apse line astronomers attraction bodies calculated Cambridge central disturbing force centre cloth coefficient College considered correction cos(c Crown 8vo determine differential equation discovery distance E-Ma E+Ma earth eccentric ecliptic Edition effect elliptic inequality epicycle equal Euclid's Elements evection expression fourth order h²u³ Hence higher order Hipparchus hu³ hypothesis inclination introduced latitude Lunar Theory mean angular mean motion mean place mean value moon moon moves moon's longitude moon's motion moon's orbit nearly neglected Newton node numerous observation obtained octants order of approximation parallax perigee periodical terms position Ptolemy Ptolemy's quadrature quantity radius vector revolution second order shew sidereal month sin(g sin2 solution Substituting suppose supposition syzygy third order true anomaly true longitude U₁ variation že² ᏧᎾ
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