Planetary calculations Planetary calculations Measurement of distance of heavenly bodies Parallex Methode D = b/θ Where D is the distance of planet from earth θ is the parallactic angle and b is called basis. This method is suitable to study the distance of the inferior planets (i.e. those planets which are closer to sun than earth, such as Mercury and Venus) from the earth or from the sun. r1=rsin € and r2 = r cos € Where r1 = distance of the planate from the sun, r2 = distance of the planet from the earth, r = distance of the sun from the earth, € = maximum value of planet's elongation. By using Kepler's third law The distance of superior planets (i.e. those planets whose orbital path is greater than of earth's orbit around the sun) can be measured by applying kepler's third law of planetary motion. According to this law T 2 ∝ R 3 and R2=R1(T2/T1) 2/3 Where R1 , R2 = Semi major axis of the two planets. T1 ,T2 = time period of revolution...
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