Mathematical tracts on the lunar and planetary theories [&c.]. |
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Page 4
... expression for u would contain one term corresponding to each . The part which depends upon the arbitrary constants , is entirely indepen- dent of . The process above having shewn what is the form of the expression for u , we may ...
... expression for u would contain one term corresponding to each . The part which depends upon the arbitrary constants , is entirely indepen- dent of . The process above having shewn what is the form of the expression for u , we may ...
Page 11
... expression for is ( 2e − 2 ) , nt + € + 2e 4 sin ( nt + e − B ) + - 5e2 sin ( 2nt + 2e - 2B ) + & c . 4 ✓ being called the longitude , or the true longitude , nt + e ( in conformity with the remark above ) is called the mean ...
... expression for is ( 2e − 2 ) , nt + € + 2e 4 sin ( nt + e − B ) + - 5e2 sin ( 2nt + 2e - 2B ) + & c . 4 ✓ being called the longitude , or the true longitude , nt + e ( in conformity with the remark above ) is called the mean ...
Page 29
... expression a { 1 + e cos ( 0 − a ) } ; but it is evident that , in the substitution of this value in terms of the second order , the terms containing e will be of the third order . We shall therefore for u put a : and for u ' shall put ...
... expression a { 1 + e cos ( 0 − a ) } ; but it is evident that , in the substitution of this value in terms of the second order , the terms containing e will be of the third order . We shall therefore for u put a : and for u ' shall put ...
Page 31
... expression for u , one term of the form - 40. sin ( 0 - a ) . The peculiarity of Ae 2 this term is , that while all the variable terms which have yet occurred , being sines or cosines , were periodical , and never exceeded a certain ...
... expression for u , one term of the form - 40. sin ( 0 - a ) . The peculiarity of Ae 2 this term is , that while all the variable terms which have yet occurred , being sines or cosines , were periodical , and never exceeded a certain ...
Page 32
... expression then for u , viz . , a { 1 + e cos ( -a ) } , was not an approximate one , since terms will be added to it , whose value may exceed its own ; and , as the operations of the last proposition were carried on upon the ...
... expression then for u , viz . , a { 1 + e cos ( -a ) } , was not an approximate one , since terms will be added to it , whose value may exceed its own ; and , as the operations of the last proposition were carried on upon 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