Mathematical tracts on the lunar and planetary theories [&c.]. |
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Page 28
... consequently the same great circle must pass through every point of the Moon's path , or the Moon moves apparently in a great circle . 40. PROP . 14. To integrate the differential equations , second approximation . * It will be remarked ...
... consequently the same great circle must pass through every point of the Moon's path , or the Moon moves apparently in a great circle . 40. PROP . 14. To integrate the differential equations , second approximation . * It will be remarked ...
Page 36
... consequently , = nt + B − 5 , we have , by ( 19 ) , 0 ' = Sun's true longitude - = nt + B + 2e ' sin ( nt + B − 5 ) . - n Now nt + B : = { 0-2e sin ( c0 - a ) } + B : ha2 or , since the coefficient of 0 must be m , nt + B = me + ß ...
... consequently , = nt + B − 5 , we have , by ( 19 ) , 0 ' = Sun's true longitude - = nt + B + 2e ' sin ( nt + B − 5 ) . - n Now nt + B : = { 0-2e sin ( c0 - a ) } + B : ha2 or , since the coefficient of 0 must be m , nt + B = me + ß ...
Page 43
... consequently , the term ( 1 + 0 ) 2 ) , T h2u3 39 in equation ( 1 ) of Art . 41 , will be of the fifth order , and is not to be considered . Second , S - Ps h2u3 13 or m's m's и 3 3 u 2 ( + cos 2 ( 0-0 ) } m'a ' 3 ha - 12+ cos 2 ( 0–0 ...
... consequently , the term ( 1 + 0 ) 2 ) , T h2u3 39 in equation ( 1 ) of Art . 41 , will be of the fifth order , and is not to be considered . Second , S - Ps h2u3 13 or m's m's и 3 3 u 2 ( + cos 2 ( 0-0 ) } m'a ' 3 ha - 12+ cos 2 ( 0–0 ...
Page 47
... Consequently 4'p2 = μ ( 1 – m3 ) . 2 But by ( 15 ) , observing that M + M ' , a , n , there , correspond to μ , A , p , here , we should have in an undisturbed orbit A3p2 = μ . Hence , the relation between the Moon's mean distance and ...
... Consequently 4'p2 = μ ( 1 – m3 ) . 2 But by ( 15 ) , observing that M + M ' , a , n , there , correspond to μ , A , p , here , we should have in an undisturbed orbit A3p2 = μ . Hence , the relation between the Moon's mean distance and ...
Page 49
... consequently , cos { ( 2 - 2m ) 0 - 2ẞ } is greatest , when the Moon is in syzygies , and least ( or has its greatest negative value ) , when she is in quadratures ; and be- tween these situations , it has all the intermediate values ...
... consequently , cos { ( 2 - 2m ) 0 - 2ẞ } is greatest , when the Moon is in syzygies , and least ( or has its greatest negative value ) , when she is in quadratures ; and be- tween these situations , it has all the intermediate values ...
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Mathematical Tracts on the Lunar and Planetary Theories George Biddell Airy No preview available - 2019 |
Mathematical Tracts on the Lunar and Planetary Theories George Biddell Airy No preview available - 2019 |
Common terms and phrases
2π λ analyzing plate angle angular velocity attraction axis bright Cambridge cloth co-ordinates coefficient Consequently constant cos² Crown 8vo crystal curve depending different colours differential direction displacement distance disturbing force dR dR dt dt Earth elliptically polarized ellipticity equal equation expression extraordinary ray Fcap front function ƒ² glass h²)² Hence inclined integration intensity investigation length longitude mean anomaly Moon motion multiplied nearly node Nutation ordinary ray parallel particles perigee perihelion perpendicular plane of incidence plane of polarization plane of reflection point of Aries principal plane produced PROP proportion quantity radius vector refraction rhombohedron rings shew sin² spheroid Sun's suppose surface tangent tion tourmaline undulation vibration wave