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
... differences in the analytical solutions arise from the various ways in which the position of the moon may be indicated by altering the system of coordinates to which it is referred , or again , in the same system , by choosing different ...
... differences in the analytical solutions arise from the various ways in which the position of the moon may be indicated by altering the system of coordinates to which it is referred , or again , in the same system , by choosing different ...
Σελίδα 17
... difference in the sun's longitude , as seen from E or from G , will be the angle ES'G ' . sin ES ' G ' = EG ' ES ' sin @ = sin w 32400 approximately , if EG'S ' = w ; therefore sin ES'G ' never exceeds 3100 therefore ES'G ' is a small ...
... difference in the sun's longitude , as seen from E or from G , will be the angle ES'G ' . sin ES ' G ' = EG ' ES ' sin @ = sin w 32400 approximately , if EG'S ' = w ; therefore sin ES'G ' never exceeds 3100 therefore ES'G ' is a small ...
Σελίδα 24
... difference of longitude of sun and moon . The forces we have to take into account are , according to Art . ( 9 ) , the forces which act directly on M , and forces equal and opposite to those which act on E ; -these last being applied to ...
... difference of longitude of sun and moon . The forces we have to take into account are , according to Art . ( 9 ) , the forces which act directly on M , and forces equal and opposite to those which act on E ; -these last being applied to ...
Σελίδα 55
... difference of the longitude of the sun and moon , for instance , is itself composed of 46 terms , combinations of the preceding constants . See Pontécoulant , Système du Monde , tom . IV . p . 572 . ' CHAPTER V. NUMERICAL VALUES OF THE ...
... difference of the longitude of the sun and moon , for instance , is itself composed of 46 terms , combinations of the preceding constants . See Pontécoulant , Système du Monde , tom . IV . p . 572 . ' CHAPTER V. NUMERICAL VALUES OF THE ...
Σελίδα 64
... difference arises from our value of c not being repre- sented with sufficient accuracy by 1-4m3 . Newton himself was aware of this apparent discrepancy between his theory and observation , and we are led , by his own expressions ...
... difference arises from our value of c not being repre- sented with sufficient accuracy by 1-4m3 . Newton himself was aware of this apparent discrepancy between his theory and observation , and we are led , by his own expressions ...
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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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