Mathematical tracts on the lunar and planetary theories [&c.]. |
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Page 9
... alteration in the values of sin ( 0 - B ) , sin 2 ( 0 - B ) , & c .: then if T be the periodic time , t will be increased by T , and 2π 2π.a1 nT = 2π , or T = = n √ ( M + M ' ) 16. The term anomaly is used generally to denote the ...
... alteration in the values of sin ( 0 - B ) , sin 2 ( 0 - B ) , & c .: then if T be the periodic time , t will be increased by T , and 2π 2π.a1 nT = 2π , or T = = n √ ( M + M ' ) 16. The term anomaly is used generally to denote the ...
Page 32
... alteration in the form of our assumption will extricate us from this difficulty . If we assume u = a { 1 + e cos ( c0 — a ) } , - and suppose c to differ very little from 1 , d'u de2 then + u = a { 1 + ( 1 − c2 ) e cos ( c✪ — a ) ...
... alteration in the form of our assumption will extricate us from this difficulty . If we assume u = a { 1 + e cos ( c0 — a ) } , - and suppose c to differ very little from 1 , d'u de2 then + u = a { 1 + ( 1 − c2 ) e cos ( c✪ — a ) ...
Page 49
... alteration of the eccentricity of the Moon's orbit . To prove this , let us suppose that when = 0 , the Moon , and the axis of the Moon's orbit , were in syzygies : that is , suppose a = 0 ( which makes the anomaly or ce - a = 0 when 0 ...
... alteration of the eccentricity of the Moon's orbit . To prove this , let us suppose that when = 0 , the Moon , and the axis of the Moon's orbit , were in syzygies : that is , suppose a = 0 ( which makes the anomaly or ce - a = 0 when 0 ...
Page 51
... alteration in * That is , measured from the first point of Aries upon the plane of the ecliptic to the node of the Moon's orbit , and then from the node upon the plane of the orbit to the Moon . 65. In respect of magnitude , the ...
... alteration in * That is , measured from the first point of Aries upon the plane of the ecliptic to the node of the Moon's orbit , and then from the node upon the plane of the orbit to the Moon . 65. In respect of magnitude , the ...
Page 54
... alteration which it produces in the place of the node and the inclination of the orbit , may be found in the same manner . Thus , put n for ( ( 2-2m - 2g ) 0-28 + 2y } : then the sum of the two terms for s becomes η 3m k { sin ( 90 − y ) ...
... alteration which it produces in the place of the node and the inclination of the orbit , may be found in the same manner . Thus , put n for ( ( 2-2m - 2g ) 0-28 + 2y } : then the sum of the two terms for s becomes η 3m k { sin ( 90 − y ) ...
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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