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 sider |
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Side xi
... Apse 113 Substitution of the Elliptic for the Circular Orbit 114 Ptolemy's discovery of the Evection 115 His manner of representing it • 117 Copernicus's Hypothesis for the same purpose Page . 100 103 104 . 105 106 108 • 120 Boulliaud ...
... Apse 113 Substitution of the Elliptic for the Circular Orbit 114 Ptolemy's discovery of the Evection 115 His manner of representing it • 117 Copernicus's Hypothesis for the same purpose Page . 100 103 104 . 105 106 108 • 120 Boulliaud ...
Side 10
... apse line with the prime radius a . μ 9 In the relative motion of the moon , or in that of the sun about the earth , the orbit would , as observation informs us , be an ellipse with small eccentricity , that of the moon being about and ...
... apse line with the prime radius a . μ 9 In the relative motion of the moon , or in that of the sun about the earth , the orbit would , as observation informs us , be an ellipse with small eccentricity , that of the moon being about and ...
Side 11
... apse at the same instant , then nt + -a is called the mean anomaly , ɛ being a constant depending on the instant when the body is at the apse , its value being also equal to the angle be- tween the prime radius and the uniformly ...
... apse at the same instant , then nt + -a is called the mean anomaly , ɛ being a constant depending on the instant when the body is at the apse , its value being also equal to the angle be- tween the prime radius and the uniformly ...
Side 34
... apse and of the node . 33. Lastly , to find the connexion between t and 0 , the equation ( a ) becomes , making T = 0 , dt 1 = de hu2 = 1 1 ha { 1 + e cos ( 0 - u ) } 2 Now this is the very same equation that we had connecting t and in ...
... apse and of the node . 33. Lastly , to find the connexion between t and 0 , the equation ( a ) becomes , making T = 0 , dt 1 = de hu2 = 1 1 ha { 1 + e cos ( 0 - u ) } 2 Now this is the very same equation that we had connecting t and in ...
Side 38
... apse and the plane of her orbit are in constant motion . The above form of the value of u is suggested by our previous knowledge of this motion of the apse , which , as we shall see Art . ( 66 ) , is connected with the value of c here ...
... apse and the plane of her orbit are in constant motion . The above form of the value of u is suggested by our previous knowledge of this motion of the apse , which , as we shall see Art . ( 66 ) , is connected with the value of c here ...
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An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1853 |
Vanlige uttrykk og setninger
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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