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 ix
... Sun's assumed place • CHAPTER III . DIFFERENTIAL EQUATIONS . Page . 1 • 3 5 9 13 14 16 · 19 19 Formation of the Differential Equations 22 Orders of the Small Quantities introduced 23 Values of the Forces P , T , S. 24 Order of the Sun's ...
... Sun's assumed place • CHAPTER III . DIFFERENTIAL EQUATIONS . Page . 1 • 3 5 9 13 14 16 · 19 19 Formation of the Differential Equations 22 Orders of the Small Quantities introduced 23 Values of the Forces P , T , S. 24 Order of the Sun's ...
Page x
... Sun. 93 Effects of Central and Tangential Forces separately considered 94 The value of c to the third order 81 82 84 86 95 The value of g to the third order 87 • · 97 Parallactic Inequality 89 99 Secular Acceleration 91 100 Inequalities ...
... Sun. 93 Effects of Central and Tangential Forces separately considered 94 The value of c to the third order 81 82 84 86 95 The value of g to the third order 87 • · 97 Parallactic Inequality 89 99 Secular Acceleration 91 100 Inequalities ...
Page 2
... sun , planets , & c . on the moon ; but fortunately the earth's attrac- tion , on account of its proximity , is much greater than the disturbing force of the sun or of any planet ; -these dis- turbing forces being so small compared with ...
... sun , planets , & c . on the moon ; but fortunately the earth's attrac- tion , on account of its proximity , is much greater than the disturbing force of the sun or of any planet ; -these dis- turbing forces being so small compared with ...
Page 5
... sun and planets are small , we may consider them one at a time , and hence the famous problem of the Three Bodies . The planets being small and distant , their effect on the motion of the moon will not be of sufficient intensity to ...
... sun and planets are small , we may consider them one at a time , and hence the famous problem of the Three Bodies . The planets being small and distant , their effect on the motion of the moon will not be of sufficient intensity to ...
Page 8
... sun , earth , and moon to that of three par- ticles ; the slight error due to the bodies not being perfect spheres will here be neglected , being of an order higher than that to which we intend to carry the present investi- gation : the ...
... sun , earth , and moon to that of three par- ticles ; the slight error due to the bodies not being perfect spheres will here be neglected , being of an order higher than that to which we intend to carry the present investi- gation : the ...
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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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