Mathematical tracts on the lunar and planetary theories [&c.]. |
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Page 6
... axis - major and eccentricity , B the longitude of the perihelion , then ( Hamilton's Conic Sec- tions , Art . 115 ; Analytical Geometry , Art . 145 ; Todhunter's Plane Coordinate Geometry , Article 204 ) , r = 1 + 1 e - a ( 1 − e3 ) ...
... axis - major and eccentricity , B the longitude of the perihelion , then ( Hamilton's Conic Sec- tions , Art . 115 ; Analytical Geometry , Art . 145 ; Todhunter's Plane Coordinate Geometry , Article 204 ) , r = 1 + 1 e - a ( 1 − e3 ) ...
Page 48
... axis ab is inclined to AB at an angle equal to mEM , or ( 1 − c ) ( 0–2 ) , M will evidently be found in its cir- - cumference , and the arc aM will be = Am . Hence , the motion of M may be represented by supposing it to move in an ...
... axis ab is inclined to AB at an angle equal to mEM , or ( 1 − c ) ( 0–2 ) , M will evidently be found in its cir- - cumference , and the arc aM will be = Am . Hence , the motion of M may be represented by supposing it to move in an ...
Page 49
... axis of the Moon's orbit , were in syzygies : that is , suppose a = 0 ( which makes the anomaly or ce - a = 0 when 0 = 0 ) ; and suppose B = 0 , or 180 ° , ( which makes the Sun's longitude , or me + B , = 0 or 180 ° , when = 0 ) : then ...
... axis of the Moon's orbit , were in syzygies : that is , suppose a = 0 ( which makes the anomaly or ce - a = 0 when 0 = 0 ) ; and suppose B = 0 , or 180 ° , ( which makes the Sun's longitude , or me + B , = 0 or 180 ° , when = 0 ) : then ...
Page 50
... axis of the Moon's orbit is in syzygies , and diminished when it is in quadratures ( Newton , Prop . 66 , Cor . 9 ) : its effect in intermediate situations we shall consider presently . 64. Corresponding to these inequalities of ...
... axis of the Moon's orbit is in syzygies , and diminished when it is in quadratures ( Newton , Prop . 66 , Cor . 9 ) : its effect in intermediate situations we shall consider presently . 64. Corresponding to these inequalities of ...
Page 51
... axis of the Moon's orbit is in syzygies , and to diminish it when that axis is in quadratures : the reasoning of the last article applies to it in every respect . There are , besides , ( Article 59 ) these terms , - k2 4 sin ( 2gpt - 2y ) ...
... axis of the Moon's orbit is in syzygies , and to diminish it when that axis is in quadratures : the reasoning of the last article applies to it in every respect . There are , besides , ( Article 59 ) these terms , - k2 4 sin ( 2gpt - 2y ) ...
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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