A Treatise on Practical Astronomy: As Applied to Geodesy and Navigation |
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Page 11
... shown on page 5 . Condition of Maximum Probability . 8. Substituting in equation 5 ) the values of p ( 4 , ) , p ( 4 . ) , etc. , from ( 13 ) , it becomes h m P = − h2 ( A12 + A22 + ・ + Am2 ) . ( 14 ) Υπ From this equation we see that ...
... shown on page 5 . Condition of Maximum Probability . 8. Substituting in equation 5 ) the values of p ( 4 , ) , p ( 4 . ) , etc. , from ( 13 ) , it becomes h m P = − h2 ( A12 + A22 + ・ + Am2 ) . ( 14 ) Υπ From this equation we see that ...
Page 30
... shown by the series of observa- tions . Many such comparisons have been made , and always with satisfactory results , when the number of observations compared has been large . A perfect agreement is of course not to be looked for , as ...
... shown by the series of observa- tions . Many such comparisons have been made , and always with satisfactory results , when the number of observations compared has been large . A perfect agreement is of course not to be looked for , as ...
Page 36
... shown . Observations of Unequal Weight . 22. In deriving the normal equations from the equations of condition , we have regarded the latter as of equal weight . In the more general case the weights will be unequal . + In the equation a ...
... shown . Observations of Unequal Weight . 22. In deriving the normal equations from the equations of condition , we have regarded the latter as of equal weight . In the more general case the weights will be unequal . + In the equation a ...
Page 40
... shown hereafter . As will be seen , there are twenty of these quantities required in a series of four equa- tions . In general the number will be * ( +2 ) ( n + 3 ) ( n where is the number of unknown quantities . 2 I , Let a sheet of ...
... shown hereafter . As will be seen , there are twenty of these quantities required in a series of four equa- tions . In general the number will be * ( +2 ) ( n + 3 ) ( n where is the number of unknown quantities . 2 I , Let a sheet of ...
Page 42
... shown in the following scheme : aa bb CC nn SS ( a + b ) 2 ( a + c ) 2 ( a - n ) 2 ( b + c ) a 123 . I Agag bgbg ( 22 ) 3 azaz bgbg czcz ( a + b1 ) 2 | 1199 Sq52 ( Ag + bq ) 2 #gg S35g ( g + bg ) 2 ( a + c1 ) 2 ( a1 " 1 ) 2 ( by + c1 ) ...
... shown in the following scheme : aa bb CC nn SS ( a + b ) 2 ( a + c ) 2 ( a - n ) 2 ( b + c ) a 123 . I Agag bgbg ( 22 ) 3 azaz bgbg czcz ( a + b1 ) 2 | 1199 Sq52 ( Ag + bq ) 2 #gg S35g ( g + bg ) 2 ( a + c1 ) 2 ( a1 " 1 ) 2 ( by + c1 ) ...
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Common terms and phrases
accuracy altitude angle applied approximation arithmetical mean ascension and declination axis azimuth Bessel catalogue celestial sphere centre chronograph chronometer circle circumpolar stars clamp co-ordinates coefficients collimation computation constant convenient culmination determined difference differential dt dt earth east ecliptic elongation emersion ephemeris equal example follows formulæ geocentric given gives Greenwich horizon hour-angle instant latitude limb logarithms longitude mean solar measured meridian method micrometer middle thread moon moon's right ascension multiplied Nautical Almanac obtained occultation parallax plane position prime vertical probable error proper motion reading reduced refraction right ascension screw semidiameter sextant sidereal sin² star's stars observed Substituting subtract telescope tion transit instrument unknown quantities values vernier weight write zenith distance ΙΟ
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