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 vi
... ecliptic and the longitude of this projection . To form the differential equations , the true longitude was taken for independent variable . To determine the latitude , they , by analogy to Newton's method , employed the differential ...
... ecliptic and the longitude of this projection . To form the differential equations , the true longitude was taken for independent variable . To determine the latitude , they , by analogy to Newton's method , employed the differential ...
Σελίδα ix
... Ecliptic 17 Errors in the Sun's assumed place • CHAPTER III . DIFFERENTIAL EQUATIONS . Page . 1 • 3 5 9 13 14 16 · 19 19 Formation of the Differential Equations 22 Orders of the Small Quantities introduced 23 Values of the Forces P , T ...
... Ecliptic 17 Errors in the Sun's assumed place • CHAPTER III . DIFFERENTIAL EQUATIONS . Page . 1 • 3 5 9 13 14 16 · 19 19 Formation of the Differential Equations 22 Orders of the Small Quantities introduced 23 Values of the Forces P , T ...
Σελίδα x
... 100 Inequalities depending on the figure of the Earth 102 Perturbations due to Venus 92 93 103 Motion of the Ecliptic 104 Note on the numerical Values of the Coefficients 94 97 Art . CHAPTER VIII . HISTORY OF THE LUNAR PROBLEM X CONTENTS .
... 100 Inequalities depending on the figure of the Earth 102 Perturbations due to Venus 92 93 103 Motion of the Ecliptic 104 Note on the numerical Values of the Coefficients 94 97 Art . CHAPTER VIII . HISTORY OF THE LUNAR PROBLEM X CONTENTS .
Σελίδα 13
... ecliptic ; and , as a first rough result of calculation , ob- tained on supposition of the sun and earth being the only bodies in the universe , this plane , in which , according to the last section , an elliptic orbit would be ...
... ecliptic ; and , as a first rough result of calculation , ob- tained on supposition of the sun and earth being the only bodies in the universe , this plane , in which , according to the last section , an elliptic orbit would be ...
Σελίδα 15
... of the 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.
... of the 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.
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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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