An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of Newton |
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Page x
... Mean obtained by Reversion of Series 52 u and s in terms of t 54 Parallax of the Moon 40 41 51 52 53 523 CHAPTER V ... Motion of the Ecliptic 104 Note on the numerical Values of the Coefficients 94 97 Art . CHAPTER VIII . HISTORY OF THE ...
... Mean obtained by Reversion of Series 52 u and s in terms of t 54 Parallax of the Moon 40 41 51 52 53 523 CHAPTER V ... Motion of the Ecliptic 104 Note on the numerical Values of the Coefficients 94 97 Art . CHAPTER VIII . HISTORY OF THE ...
Page 11
... mean anomaly , ɛ being a constant depending on the instant when the body is at the apse , its value being also equal ... motion being repre- sented by the arrow . Let MD be the position of Mu when t = 0 , then D M YMD = ε and 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 ... motion being repre- sented by the arrow . Let MD be the position of Mu when t = 0 , then D M YMD = ε and is called the ...
Page 23
... mean distances is of the second order . * ( 3 ) The eccentricity e ' of the elliptic orbit which the sun ... motion . Lines proportional to the distances being then drawn from a point in the proper directions , the extremities mark out ...
... mean distances is of the second order . * ( 3 ) The eccentricity e ' of the elliptic orbit which the sun ... motion . Lines proportional to the distances being then drawn from a point in the proper directions , the extremities mark out ...
Page 27
... mean motions , Art . ( 22 ) , we have m = therefore mean motion of sun periodic time of moon mean motion of moon 2πη 2πr " mt = periodic time of sun μ * : : m2 : 1 , or the disturbing force of the sun is of the second order when ...
... mean motions , Art . ( 22 ) , we have m = therefore mean motion of sun periodic time of moon mean motion of moon 2πη 2πr " mt = periodic time of sun μ * : : m2 : 1 , or the disturbing force of the sun is of the second order when ...
Page 42
... mean motions of the sun and moon . So long as we neglected the disturbing force , h and a had determinate values ... motion in that ellipse at any instant , h being double the area described in a unit of time , and a the reciprocal of ...
... mean motions of the sun and moon . So long as we neglected the disturbing force , h and a had determinate values ... motion in that ellipse at any instant , h being double the area described in a unit of time , and a the reciprocal of ...
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Common terms and phrases
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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