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
... Forces P , T , S. 24 Order of the Sun's disturbing Force CHAPTER IV . 2222 24 26 INTEGRATION OF THE DIFFERENTIAL EQUATIONS . 25 General Process described 28 27 Terms of a higher order which must be retained 30 30 Solution to the first ...
... Forces P , T , S. 24 Order of the Sun's disturbing Force CHAPTER IV . 2222 24 26 INTEGRATION OF THE DIFFERENTIAL EQUATIONS . 25 General Process described 28 27 Terms of a higher order which must be retained 30 30 Solution to the first ...
Σελίδα 2
... disturbing the path of the planet . This last supposition , in the powerful hands of Messrs . Adams and Le Verrier ... force of the sun or of any planet ; -these dis- turbing forces being so small compared with the absolute force of the ...
... disturbing the path of the planet . This last supposition , in the powerful hands of Messrs . Adams and Le Verrier ... force of the sun or of any planet ; -these dis- turbing forces being so small compared with the absolute force of the ...
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
... disturbances PP , PP , 19 M39 Now if there are three small disturbing forces m1 , m2 , m 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 ...
... disturbances PP , PP , 19 M39 Now if there are three small disturbing forces m1 , m2 , m 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 ...
Σελίδα 5
... disturbing effects produced by the sun and planets are small , we may consider them one at a time , and hence the ... force , the attraction of one sphere on another can be correctly obtained , and leaves the question in exactly the same ...
... disturbing effects produced by the sun and planets are small , we may consider them one at a time , and hence the ... force , the attraction of one sphere on another can be correctly obtained , and leaves the question in exactly the same ...
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3m²e accelerating forces Algebra angle angular velocity annual equation anomaly apogee apse line astronomers attraction bodies BROOKE FOSS WESTCOTT calculated Cambridge centre cloth coefficient considered correct cos2 Crown 8vo determined differential equations distance disturbing force E-Ma E+Ma earth eccentricity ecliptic ELEMENTARY TREATISE elliptic inequality epicycle equal evection expression Fcap fixed plane fourth order h²u³ higher order Hipparchus hu³ integration John's College Lunar Theory MACMILLAN AND CO'S Mathematical mean anomaly mean longitude mean motion mean value method moon moon's mean moon's motion moon's orbit nearly neglected Newton node numerous observations obtained order of approximation parallax particle perigee periodical terms position Ps-S Ptolemy quadrature quantity radius vector revolution Schools Second Edition second order shew sidereal month sin2 solution sphere student substituted syzygy third order true anomaly true longitude Tycho variation že²
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