Mathematical tracts on the lunar and planetary theories [&c.]. |
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Stranica 4
... u == n2 + A cos ( no + C ) + D cos ( me + B ) + E cos ( q0 + Q ) , and , substituting this series in the equation , determine the values of D and E. 7. When m does not differ much from n , 24 LUNAR AND PLANETARY THEORIES .
... u == n2 + A cos ( no + C ) + D cos ( me + B ) + E cos ( q0 + Q ) , and , substituting this series in the equation , determine the values of D and E. 7. When m does not differ much from n , 24 LUNAR AND PLANETARY THEORIES .
Stranica 6
... Substituting this for Pin the equation cited in Article 8 , du + u d02 - the solution of which , by ( 3 ) , is M + M ' M + M ' h2 - u = ha + A cos ( 0 – B ) , - 1 + A cos ( 0 - B ) h2 or r = M + M ' which is the general polar equation ...
... Substituting this for Pin the equation cited in Article 8 , du + u d02 - the solution of which , by ( 3 ) , is M + M ' M + M ' h2 - u = ha + A cos ( 0 – B ) , - 1 + A cos ( 0 - B ) h2 or r = M + M ' which is the general polar equation ...
Stranica 25
... Substituting these values , putting E + M = μ , and expand- 1 as far as s * , ing ( 1 + 82 ) a P = μ P = 5 ( 1-3 +15 ) s2 8 P ( 1.3 -m 18 2 + -cos 2 cos 2 ( 0–0 ) } E - M p2 ( 9 + 14 cos ( 0—0 ' ) + 15 cos 3 ( 0-0 ) μ r 8 8 83 ( 0-0 ) ...
... Substituting these values , putting E + M = μ , and expand- 1 as far as s * , ing ( 1 + 82 ) a P = μ P = 5 ( 1-3 +15 ) s2 8 P ( 1.3 -m 18 2 + -cos 2 cos 2 ( 0–0 ) } E - M p2 ( 9 + 14 cos ( 0—0 ' ) + 15 cos 3 ( 0-0 ) μ r 8 8 83 ( 0-0 ) ...
Stranica 26
sir George Biddell Airy. 36. It appears , then , that upon substituting these values in the equation ( d ) , it will be reduced to this form , d'u d02 + u + II = 0 , II being a complicated function of u , s , and 0. No method of directly ...
sir George Biddell Airy. 36. It appears , then , that upon substituting these values in the equation ( d ) , it will be reduced to this form , d'u d02 + u + II = 0 , II being a complicated function of u , s , and 0. No method of directly ...
Stranica 40
... last term , becomes - 3m3a [ † cos { ( 2 – 2m ) 0 — 2ẞ } — 2e cos { ( 2 — 2m — c ) 0 — 2B + a } ] . - - 54. PROP . 19. To form the differential equation for u . Collecting the terms , and substituting them in the equation 40 LUNAR THEORY .
... last term , becomes - 3m3a [ † cos { ( 2 – 2m ) 0 — 2ẞ } — 2e cos { ( 2 — 2m — c ) 0 — 2B + a } ] . - - 54. PROP . 19. To form the differential equation for u . Collecting the terms , and substituting them in the equation 40 LUNAR THEORY .
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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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