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 20
Side 30
... least one order lower than G , and will come within our proposed approximation , and consequently the term G cos ( p0 + H ) must be retained in the differential equation . The equation of the moon's latitude being of the same form as ...
... least one order lower than G , and will come within our proposed approximation , and consequently the term G cos ( p0 + H ) must be retained in the differential equation . The equation of the moon's latitude being of the same form as ...
Side 32
... least of the first order and s2 may be neglected . Therefore , from Art . ( 23 ) , P u = μ ; T Ps - S : 0 ; 3 0 , and the differential equations become d'u μ de + u = 27 h2 d's + s = ᏧᎾ = 0 ; 1 whence u = { 1 + e cos ( 0− 32 LUNAR ...
... least of the first order and s2 may be neglected . Therefore , from Art . ( 23 ) , P u = μ ; T Ps - S : 0 ; 3 0 , and the differential equations become d'u μ de + u = 27 h2 d's + s = ᏧᎾ = 0 ; 1 whence u = { 1 + e cos ( 0− 32 LUNAR ...
Side 36
... least in the total subversion of its present ' state ; but when they do occur , they have their origin , not in the ' nature of the differential equations , but in the imperfection of our ' analysis , and in the inadequate ...
... least in the total subversion of its present ' state ; but when they do occur , they have their origin , not in the ' nature of the differential equations , but in the imperfection of our ' analysis , and in the inadequate ...
Side 37
... least , for then d'u d02 · + u = a + ae ( 1 − c2 ) cos ( c0 — a ) , = a to the first order . U ' ' , 37. The observations hitherto made to check our ap- proximations were extremely rough ( 22 ) , and carried on only for a short ...
... least , for then d'u d02 · + u = a + ae ( 1 − c2 ) cos ( c0 — a ) , = a to the first order . U ' ' , 37. The observations hitherto made to check our ap- proximations were extremely rough ( 22 ) , and carried on only for a short ...
Side 45
... least ; + - - [ ] d0 = 3m'a cos { ( 2 — 2m ) 0 — 2B } 3 d2s do — 6m3ae cos { ( 2 – 2m — c ) 0 − 2B + a } - - - - 15 me a cos ( ( 2-2m - 2c ) 0-2B + 2a } , + 8 ) de = 0 , to the third order . и Lastly , Ps - S hu 3 m'su ' h2u1 VALUES OF ...
... least ; + - - [ ] d0 = 3m'a cos { ( 2 — 2m ) 0 — 2B } 3 d2s do — 6m3ae cos { ( 2 – 2m — c ) 0 − 2B + a } - - - - 15 me a cos ( ( 2-2m - 2c ) 0-2B + 2a } , + 8 ) de = 0 , to the third order . и Lastly , Ps - S hu 3 m'su ' h2u1 VALUES OF ...
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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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