Mathematical tracts on the lunar and planetary theories [&c.]. |
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Page 15
... disturbing force draws the Moon from the plane in which she is moving , and thus the plane of her orbit is perpetu- ally changing . There appears to be no better mode of estimating the disturbing force , than by resolving it into three ...
... disturbing force draws the Moon from the plane in which she is moving , and thus the plane of her orbit is perpetu- ally changing . There appears to be no better mode of estimating the disturbing force , than by resolving it into three ...
Page 17
... disturbing force , perpendicular to the projection of the radius vector -m ' . Gm ' . sin ( 0 – 0 ' ) - - 27. PROP . 8. To find the resolved part of the disturbing force , which is perpendicular to the plane of the ecliptic . The only ...
... disturbing force , perpendicular to the projection of the radius vector -m ' . Gm ' . sin ( 0 – 0 ' ) - - 27. PROP . 8. To find the resolved part of the disturbing force , which is perpendicular to the plane of the ecliptic . The only ...
Page 18
... disturbing force perpendicular to the plane of the ecliptic , S MG EG m2 √ ( 1 + 82 ) + 13 y's BG ) . 28. PROP . 9. To find the whole force upon M in these directions or to find P , T , and S. Besides the disturbing forces , we must ...
... disturbing force perpendicular to the plane of the ecliptic , S MG EG m2 √ ( 1 + 82 ) + 13 y's BG ) . 28. PROP . 9. To find the whole force upon M in these directions or to find P , T , and S. Besides the disturbing forces , we must ...
Page 25
... .. ( 9 ) , ( h ) . 5 μ 18 5 - P = m's .. + cos 2 ( 0-0 ) } , и sin ( 0—0 ' ) + sin 3 ( 0–0 ) ( ... ) ........... 36. It appears , then , that upon substituting these EXPANSION OF EXPRESSIONS FOR DISTURBING FORCE . 25.
... .. ( 9 ) , ( h ) . 5 μ 18 5 - P = m's .. + cos 2 ( 0-0 ) } , и sin ( 0—0 ' ) + sin 3 ( 0–0 ) ( ... ) ........... 36. It appears , then , that upon substituting these EXPANSION OF EXPRESSIONS FOR DISTURBING FORCE . 25.
Page 27
... disturbing force on the Moon , compared with the force which is independent of the Sun's action . Upon examining the ex- pressions for P , T , and S , it will be seen that the mutual at- traction of the Earth and Moon is expressed by ...
... disturbing force on the Moon , compared with the force which is independent of the Sun's action . Upon examining the ex- pressions for P , T , and S , it will be seen that the mutual at- traction of the Earth and Moon is expressed by ...
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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