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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Resultat 1-5 av 18
Side 2
... 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 circumstances of the moon's motion , and to assign her position at any time when observation ...
... 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 circumstances of the moon's motion , and to assign her position at any time when observation ...
Side 5
... correctly obtained , and leaves the question in exactly the same state as if they were particles . ( Princip . lib . I. prop . 75. ) Attractions of Spherical Bodies . 6. Let P be a particle situated at a distance OP = a from the centre ...
... correctly obtained , and leaves the question in exactly the same state as if they were particles . ( Princip . lib . I. prop . 75. ) Attractions of Spherical Bodies . 6. Let P be a particle situated at a distance OP = a from the centre ...
Side 12
... correct to that term , and gives - 0 − a = nt + ε — a + 2e sin { nt + e − a + 2e sin ( nt + e − a ) } - = nt + ɛ ― a + 2e sin ( nt + ɛ − a ) - -3e " sin2 ( nt + ε— α ) --- + 4e3 cos ( nt + ɛ − a ) sin ( nt + e − a ) — şe2 sin 2 ...
... correct to that term , and gives - 0 − a = nt + ε — a + 2e sin { nt + e − a + 2e sin ( nt + e − a ) } - = nt + ɛ ― a + 2e sin ( nt + ɛ − a ) - -3e " sin2 ( nt + ε— α ) --- + 4e3 cos ( nt + ɛ − a ) sin ( nt + e − a ) — şe2 sin 2 ...
Side 28
... correct to the same order of approximation as the differential equations themselves , that is , to the first order ; this value of u will then enable us to get the connexion between 0 and t to the same order . [ Let us , however , bear ...
... correct to the same order of approximation as the differential equations themselves , that is , to the first order ; this value of u will then enable us to get the connexion between 0 and t to the same order . [ Let us , however , bear ...
Side 29
... correctly to the second order . These values introduced in the same manner in the second members , and terms of the next higher order re- tained , will lead to a third approximation , and so on , to any order ; except that if we wish to ...
... correctly to the second order . These values introduced in the same manner in the second members , and terms of the next higher order re- tained , will lead to a third approximation , and so on , to any order ; except that if we wish to ...
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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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