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 σελίδες |
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Σελίδα 5
... according to the law of universal gravitation . 5. But we must still prove another proposition , without which the problem would scarcely , though reduced to three bodies , be less complicated than in its most general form . Newton's ...
... according to the law of universal gravitation . 5. But we must still prove another proposition , without which the problem would scarcely , though reduced to three bodies , be less complicated than in its most general form . Newton's ...
Σελίδα 11
... according to the powers of e , as far as e2 . n = = 2π periodic time 2πh = = 2π ÷ 2 area h h 2πab a2 √√ ( 1 − e2 ) * The introduction of the epoch is avoided in the Lunar theory by a particular assumption ( Art . 34 ) ; but in the ...
... according to the powers of e , as far as e2 . n = = 2π periodic time 2πh = = 2π ÷ 2 area h h 2πab a2 √√ ( 1 − e2 ) * The introduction of the epoch is avoided in the Lunar theory by a particular assumption ( Art . 34 ) ; but in the ...
Σελίδα 13
... according to the last section , an elliptic orbit would be described , is a fixed plane : but this is no longer the case when we take into account the disturbances produced by the moon and planets , and it becomes necessary to ...
... according to the last section , an elliptic orbit would be described , is a fixed plane : but this is no longer the case when we take into account the disturbances produced by the moon and planets , and it becomes necessary to ...
Σελίδα 15
... according to the standard of approximation adopted . Hence the only force on G is a central force tending to S , and therefore the motion of G will be in one plane . * In strictness it would be necessary , since we have brought S to ...
... according to the standard of approximation adopted . Hence the only force on G is a central force tending to S , and therefore the motion of G will be in one plane . * In strictness it would be necessary , since we have brought S to ...
Σελίδα 22
... according to ascending powers of small fractions , some one being chosen as a standard with which all others are compared , and the order of the approximation is esteemed by the highest power of the small fractions retained . It is ...
... according to ascending powers of small fractions , some one being chosen as a standard with which all others are compared , and the order of the approximation is esteemed by the highest power of the small fractions retained . It is ...
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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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