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 v
... methods which he had adopted seem inade- quate to so complicated a theory , and recourse has been had to analysis for a complete determination of the dis- turbances , and for a knowledge of the true orbit . The following pages will , it ...
... methods which he had adopted seem inade- quate to so complicated a theory , and recourse has been had to analysis for a complete determination of the dis- turbances , and for a knowledge of the true orbit . The following pages will , it ...
Σελίδα vi
... method . The 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 ...
... method . The 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 ...
Σελίδα vii
... method offers the advantage of not requiring any reversion of series . Poisson proposed the method used in the planetary theory , that is , to determine the variation in the elements . of the moon's orbit , and thence to conclude the ...
... method offers the advantage of not requiring any reversion of series . Poisson proposed the method used in the planetary theory , that is , to determine the variation in the elements . of the moon's orbit , and thence to conclude the ...
Σελίδα x
... Method . 61 Second Method . Theoretical Values · 56 · Values deduced by the Solution of a large number of simultaneous Equations . · ib . ་ ་ 62 Third Method . Independent determination of each Coefficient 57 CHAPTER VI . PHYSICAL ...
... Method . 61 Second Method . Theoretical Values · 56 · Values deduced by the Solution of a large number of simultaneous Equations . · ib . ་ ་ 62 Third Method . Independent determination of each Coefficient 57 CHAPTER VI . PHYSICAL ...
Σελίδα 22
... method which we are in consequence forced to adopt , is that of successive approximation , by which the values of u , 0 , and s are obtained in a series , the terms proceeding according to ascending powers of small fractions , some one ...
... method which we are in consequence forced to adopt , is that of successive approximation , by which the values of u , 0 , and s are obtained in a series , the terms proceeding according to ascending powers of small fractions , some one ...
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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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