Mathematical tracts on the lunar and planetary theories [&c.]. |
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Stranica 9
... suppose increased by 2π : this change makes no 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 ...
... suppose increased by 2π : this change makes no 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 ...
Stranica 17
... suppose this force applied to M in the opposite direction , we have , for the whole disturbing force on M , in direction of the projection of the radius vector , m ' MG EG \ y'3√ ( 1 + s2 ) ̄ y3√√ ( 1 + s2 ) + Gm ' cos ( 0 — 0 ...
... suppose this force applied to M in the opposite direction , we have , for the whole disturbing force on M , in direction of the projection of the radius vector , m ' MG EG \ y'3√ ( 1 + s2 ) ̄ y3√√ ( 1 + s2 ) + Gm ' cos ( 0 — 0 ...
Stranica 33
... Suppose , now , we substituted a { 1+ e cos ( co- a ) } for P h2u2 u , in the expression for ( ƒ ) Art . 35. The second term depending on the disturbing force is --- Now u ' , being the reciprocal of the 3 2 • m'u ' 13 3 · cos 2 ( 0 – 0 ...
... Suppose , now , we substituted a { 1+ e cos ( co- a ) } for P h2u2 u , in the expression for ( ƒ ) Art . 35. The second term depending on the disturbing force is --- Now u ' , being the reciprocal of the 3 2 • m'u ' 13 3 · cos 2 ( 0 – 0 ...
Stranica 49
... 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 = 0 ) ; and suppose B = 0 , or 180 ° , ( which makes the Sun's longitude ...
... 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 = 0 ) ; and suppose B = 0 , or 180 ° , ( which makes the Sun's longitude ...
Stranica 50
... suppose that , the Sun's longitude = 15 = e ( 1 + ~ m ) . 8 when 0 = 0 , the Moon is at her apse , and = - 90 ° , or B - 90 ° : then , when the Moon's longitude = 0 , her parallax 15 = · P [ 1 + e cos co + 8 me cos { ( 2 — 2m — c ) 0 + ...
... suppose that , the Sun's longitude = 15 = e ( 1 + ~ m ) . 8 when 0 = 0 , the Moon is at her apse , and = - 90 ° , or B - 90 ° : then , when the Moon's longitude = 0 , her parallax 15 = · P [ 1 + e cos co + 8 me cos { ( 2 — 2m — c ) 0 + ...
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Mathematical Tracts on the Lunar and Planetary Theories George Biddell Airy Pregled nije dostupan - 2019 |
Mathematical Tracts on the Lunar and Planetary Theories George Biddell Airy Pregled nije dostupan - 2019 |
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