Mathematical tracts on the lunar and planetary theories [&c.]. |
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Page 30
... 2ẞ } . - Or , taking the last term to the second order only , u = 3k2a m'a's k2a a 4 2h2a + ae cos ( 0 - a ) - cos 2 ( 0 ― y ) 4 m'a'3 + h2a3 cos { ( 2-2m ) 0-2ẞ } . m To take away 2 , we observe that a 30 LUNAR THEORY .
... 2ẞ } . - Or , taking the last term to the second order only , u = 3k2a m'a's k2a a 4 2h2a + ae cos ( 0 - a ) - cos 2 ( 0 ― y ) 4 m'a'3 + h2a3 cos { ( 2-2m ) 0-2ẞ } . m To take away 2 , we observe that a 30 LUNAR THEORY .
Page 31
sir George Biddell Airy. m To take away 2 , we observe that a ' and a are nearly the reciprocals of r ' and p , which occur in ( 38 ) : and , since m ' μ 7 % = m2 . 5 we have m'a3 = m2 . μ . a3 ; Thus , the value of u becomes 82 m'a 13 ...
sir George Biddell Airy. m To take away 2 , we observe that a ' and a are nearly the reciprocals of r ' and p , which occur in ( 38 ) : and , since m ' μ 7 % = m2 . 5 we have m'a3 = m2 . μ . a3 ; Thus , the value of u becomes 82 m'a 13 ...
Page 43
... observed , will be approximately repre- sented by k sin ( gy ) , where g differs little from 1 ; the differ- ence , which is caused entirely by the disturbing force , being of the second order . Hence , d's - do2 + s , or k ( 1 − g3 ) ...
... observed , will be approximately repre- sented by k sin ( gy ) , where g differs little from 1 ; the differ- ence , which is caused entirely by the disturbing force , being of the second order . Hence , d's - do2 + s , or k ( 1 − g3 ) ...
Page 49
... observe that { ( 1 — m ) 0 — B } ( Article 48 ) is nearly the dif- ference of longitude of the Sun and Moon , and consequently , cos { ( 2 - 2m ) 0 - 2ẞ } is greatest , when the Moon is in syzygies , and least ( or has its greatest ...
... observe that { ( 1 — m ) 0 — B } ( Article 48 ) is nearly the dif- ference of longitude of the Sun and Moon , and consequently , cos { ( 2 - 2m ) 0 - 2ẞ } is greatest , when the Moon is in syzygies , and least ( or has its greatest ...
Page 57
... observed ( amounting , at its maximum , to 122 " ) with its computed value , gives us the means a ' ( M a E of determining being known pretty exactly , and therefore , E - M E - M μ or E + M being known wn ) , that is , the ratio of the ...
... observed ( amounting , at its maximum , to 122 " ) with its computed value , gives us the means a ' ( M a E of determining being known pretty exactly , and therefore , E - M E - M μ or E + M being known wn ) , that is , the ratio of the ...
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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