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 vii
... higher orders , among which will be found the values of c and 9 com- pletely obtained to the third order . The last chapter is a brief historical sketch of the Lunar Problem up to the time of Newton , containing an account of the ...
... higher orders , among which will be found the values of c and 9 com- pletely obtained to the third order . The last chapter is a brief historical sketch of the Lunar Problem up to the time of Newton , containing an account of the ...
Σελίδα ix
... 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 order 32 35 Introduction of c and g 35 Page . Art . 41 Connexion between 0 ' and.
... 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 order 32 35 Introduction of c and g 35 Page . Art . 41 Connexion between 0 ' and.
Σελίδα 8
... higher than that to which we intend to carry the present investi- gation : the error however , though very small , is appre- ciable , and if a nearer approximation were required , it would be necessary to have regard to this ...
... higher than that to which we intend to carry the present investi- gation : the error however , though very small , is appre- ciable , and if a nearer approximation were required , it would be necessary to have regard to this ...
Σελίδα 15
... path of G , the error being of a still higher order than that introduced by the neglect of ( EG ) . SG ? Again , the accelerating force in GS = = PLANE OF REFERENCE . 15 Path of Centre of Gravity of Earth and Moon, Ecliptic.
... path of G , the error being of a still higher order than that introduced by the neglect of ( EG ) . SG ? Again , the accelerating force in GS = = PLANE OF REFERENCE . 15 Path of Centre of Gravity of Earth and Moon, Ecliptic.
Σελίδα 17
... higher order , and may therefore be neglected . 18. Hence we may assume that the motion of the sun about the earth at rest is an ellipse having the earth for its focus , and its equation u ' = a ' { 1 + e ' cos ( 0 ' — 5 ) } , C and we ...
... higher order , and may therefore be neglected . 18. Hence we may assume that the motion of the sun about the earth at rest is an ellipse having the earth for its focus , and its equation u ' = a ' { 1 + e ' cos ( 0 ' — 5 ) } , C and we ...
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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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