a. A binary system consists of star A with mass of 3.8 x 100 Kg and star B with mass of 3.2 x 100 kg. Their centres are separated by 9.8 AU (1.5 x 10¹1m)- Calculate how far the centre of mass of the system is from star A. b. What is the reduced mass of such system in part a? c. A point has coordinates (x,y,z) in cartesian coordinate system, use spheral coordinates as generalized coordinates to calculate dy d. Positions of two planets are given as (-4.00, 2.94,-0.10) AU and (6.41.6.54,-0.37) AU. Find the distance between them?
a. A binary system consists of star A with mass of 3.8 x 100 Kg and star B with mass of 3.2 x 100 kg. Their centres are separated by 9.8 AU (1.5 x 10¹1m)- Calculate how far the centre of mass of the system is from star A. b. What is the reduced mass of such system in part a? c. A point has coordinates (x,y,z) in cartesian coordinate system, use spheral coordinates as generalized coordinates to calculate dy d. Positions of two planets are given as (-4.00, 2.94,-0.10) AU and (6.41.6.54,-0.37) AU. Find the distance between them?
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Transcribed Image Text:a. A binary system consists of star A with mass of 3.8 x 100 Kg and star B with mass of 3.2 x 1030 kg. Their centres are separated by 9.8 AU (1.5
x 10¹1m) Calculate how far the centre of mass of the system is from star A.
b. What is the reduced mass of such system in part a?
c. A point has coordinates (x,y,z) in cartesian coordinate system, use spherical coordinates as generalized coordinates to calculate dy
d. Positions of two planets are given as (-4.00, 2.94,-0.10) AU and (6.41, 6.54,-0.37) AU. Find the distance between them?
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