An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of NewtonMacmillan, 1859 - 119 σελίδες |
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Σελίδα ix
... disturbing Force • CHAPTER IV . INTEGRATION OF THE DIFFERENTIAL EQUATIONS . 25 General Process described 27 Terms of a higher order which must be retained 30 Solution to the first order 35 Introduction of c and g Page . 1 3 5 · 13 . 14 ...
... disturbing Force • CHAPTER IV . INTEGRATION OF THE DIFFERENTIAL EQUATIONS . 25 General Process described 27 Terms of a higher order which must be retained 30 Solution to the first order 35 Introduction of c and g Page . 1 3 5 · 13 . 14 ...
Σελίδα 2
... disturbing the path of the planet . This last supposition , in the powerful hands of Messrs . Adams and Le Verrier , led to the detection of Neptune by solving the difficult inverse problem , viz : -Given the perturbations caused by a ...
... disturbing the path of the planet . This last supposition , in the powerful hands of Messrs . Adams and Le Verrier , led to the detection of Neptune by solving the difficult inverse problem , viz : -Given the perturbations caused by a ...
Σελίδα 3
... disturbing forces may be considered separately , and the algebraic sum of the disturbances so obtained will be the same as the disturbance due to the simultaneous action of all the forces . Principle of Superposition of Small Motions ...
... disturbing forces may be considered separately , and the algebraic sum of the disturbances so obtained will be the same as the disturbance due to the simultaneous action of all the forces . Principle of Superposition of Small Motions ...
Σελίδα 4
... disturbing forces m1 , M2 , M39 we may consider the joint action of the two m2 m as one small disturbing force ; therefore , by what precedes , the total disturbance along any axis will be the sum of the separate disturbances of m , and ...
... disturbing forces m1 , M2 , M39 we may consider the joint action of the two m2 m as one small disturbing force ; therefore , by what precedes , the total disturbance along any axis will be the sum of the separate disturbances of m , and ...
Σελίδα 5
... disturbing effects produced by the sun and planets are small , we may consider them one at a time , and hence the famous problem of the Three Bodies . The planets being small and distant , their effect on the motion of the moon will not ...
... disturbing effects produced by the sun and planets are small , we may consider them one at a time , and hence the famous problem of the Three Bodies . The planets being small and distant , their effect on the motion of the moon will not ...
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accelerating forces Algebra angle angular velocity annual equation apogee approximation apse line argument astronomers attraction Author has endeavoured body calculated CAMBRIDGE CLASS BOOKS centre chapter cloth coefficient Collection of Examples connexion considered correction cos2 Crown 8vo determine differential equations distance disturbing force E-Ma E+Ma earth eccentricity ecliptic elliptic inequality epicycle equal evection expression fixed plane h2u³ higher order Hipparchus inclination ISAAC TODHUNTER John's College late Fellow Latin latitude Lunar M.A. Fellow mean motion mean place mean value method moon moon's mean longitude moon's motion moon's orbit nearly node numerous Examples observations obtained octants order of approximation particle perigee periodical terms position Ps-S Ptolemy quadrature quantity radius vector revolution Schools Second Edition second order shew sidereal month solution sphere student syzygy Theory third order tions true anomaly true longitude Tycho Brahé V₁ variation že²
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