A Treatise on Practical Astronomy: As Applied to Geodesy and Navigation |
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Page v
... error .. The curve of probability .... Determination of the law of error .. Condition of maximum probability . The measure of precision .. The probable error .... The mean error ... I 2 3 5 6 II 12 13 15 The mean of the errors ...
... error .. The curve of probability .... Determination of the law of error .. Condition of maximum probability . The measure of precision .. The probable error .... The mean error ... I 2 3 5 6 II 12 13 15 The mean of the errors ...
Page viii
... error of sextant observation .... 265 CHAPTER VI . THE TRANSIT INSTRUMENT . Description of instrument .. 269 ... error and weight of transit observations .. Application of the method of least squares .. 316 318 323 Correction for flexure ...
... error of sextant observation .... 265 CHAPTER VI . THE TRANSIT INSTRUMENT . Description of instrument .. 269 ... error and weight of transit observations .. Application of the method of least squares .. 316 318 323 Correction for flexure ...
Page 2
... errors in the instruments used , personal error of the observer , errors in the constants of re- fraction , parallax , etc. , used in the reduction of observations . A proper investigation will generally show the magnitude of such errors ...
... errors in the instruments used , personal error of the observer , errors in the constants of re- fraction , parallax , etc. , used in the reduction of observations . A proper investigation will generally show the magnitude of such errors ...
Page 3
... Error . 4. Let x be a quantity whose value is to be determined by observation either directly or indirectly . m Let M1 , M , M ,, . . . M be the individual values obtained . Then regarding M , as ... ERRORS . The law of distribution of error.
... Error . 4. Let x be a quantity whose value is to be determined by observation either directly or indirectly . m Let M1 , M , M ,, . . . M be the individual values obtained . Then regarding M , as ... ERRORS . The law of distribution of error.
Page 4
... error itself . We shall therefore have the equation y = p ( 4 ) , . · ( 2 ) in which 4 represents any error , and y the probability of its occurring . If this reasoning seems obscure , a different application of the same logic may ...
... error itself . We shall therefore have the equation y = p ( 4 ) , . · ( 2 ) in which 4 represents any error , and y the probability of its occurring . If this reasoning seems obscure , a different application of the same logic may ...
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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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