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
... 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 quantities for independent variables . D'Alembert and Clairaut chose for ...
... 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 quantities for independent variables . D'Alembert and Clairaut chose for ...
Σελίδα vii
... position , make the time the independent variable ; and when it is desired to carry the approximation to a high order , this method offers the advantage of not requiring any reversion of series . Poisson proposed the method used in the ...
... position , make the time the independent variable ; and when it is desired to carry the approximation to a high order , this method offers the advantage of not requiring any reversion of series . Poisson proposed the method used in the ...
Σελίδα 2
... position of the disturbing body . Evidence so strong as this forces us to admit the correct- ness of the assumption , and we shall now consider how this law , combined with the laws of motion , will enable us to investigate the ...
... position of the disturbing body . Evidence so strong as this forces us to admit the correct- ness of the assumption , and we shall now consider how this law , combined with the laws of motion , will enable us to investigate the ...
Σελίδα 3
... position of the particle at any instant . Let two of these small forces m ,, m , be omitted , and suppose the path of the particle under the action of the remaining forces to be AP in any given time . Let AP , be the path which would ...
... position of the particle at any instant . Let two of these small forces m ,, m , be omitted , and suppose the path of the particle under the action of the remaining forces to be AP in any given time . Let AP , be the path which would ...
Σελίδα 11
... position of Mu when t = 0 , then D M YMD = ε and is called the epoch , DMμ = nt , ΥΜΑ = α = longitude of the apse ; * - therefore , mean anomaly = AMμnt + ε — α , true anomaly = AMM ' = TM MM ' - MA = 0 - a . 12. To express the mean ...
... position of Mu when t = 0 , then D M YMD = ε and is called the epoch , DMμ = nt , ΥΜΑ = α = longitude of the apse ; * - therefore , mean anomaly = AMμnt + ε — α , true anomaly = AMM ' = TM MM ' - MA = 0 - a . 12. To express the mean ...
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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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