A4 Solution 2009

# A4 Solution 2009 - hA = 4300 km A vA PROBLEM 13.85 Knowing...

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PROBLEM 13.85 Knowing that the velocity of an experimental space probe fired from the earth has a magnitude 32.5 A v Mm/h at point A , determine the velocity of the probe as it passes through point B . SOLUTION - At A , 32.5 M /h 9028 m/s A vm +, 2 6 1 9028 m/s 40.752 10 m 2 A Tm u 2 A AA GMm gR m V rr 0 0 6 10.67 M 10.67 10 m A rm u 6 6370 km 6.37 10 m R u + , 2 26 6 6 9.81m/s 6.37 10 m 37.306 10 10.67 10 m A Vm m u 0 0 u u # At B 2 2 1 ; 2 BB B GMm gR m v V 0 0 6 19.07 M 19.07 10 m B u + , 2 6 6 9.81m/s 6.37 10 m 20.874 10 19.07 10 m B m u 0 0 u u 66 2 6 1 ; 40.752 10 37.306 10 20.874 10 2 AABB B TV m m m v m . . u 0 u 0 u 6 6 2 40.752 10 37.306 10 20.874 10 B v ªº u 0 u . u ¬¼ 2 2 48.64 10 m /s B v u 3 6.9742 10 m/s 25.107 Mm/h B v u 25.1Mm/h B v W 4.3 6.37 rhR M m M m . . 10.67 A rM m 72.7 6.37 M m M m . . 19.07 B m h A = 4300 km A B R = 6370 km v A v B h B = 12700 km

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13.98

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PROBLEM 13.10 4 The optimal way of transferring a space vehicle from an inner circular orbit to an outer coplanar orbit is to fire its engines as it passes through A to increase its speed and place it in an elliptic transfer orbit. Another increase in speed as it passes through B will place it in the desired circular orbit. For a vehicle in a circular orbit about the earth at an

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## This note was uploaded on 10/03/2010 for the course ENGINEERIN CIVE 281 taught by Professor Bressman,m during the Spring '10 term at McGill.

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A4 Solution 2009 - hA = 4300 km A vA PROBLEM 13.85 Knowing...

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