Question

the earth 10.69 A spacecraft is describing a circular orbit of 12-Mm radius around tbe earth when its rockets are fired momentarily to increase the speed of the spacecraft by 1 km/s. The spacecraft is thus inserted into an elliptic orbit as shown. For the spacecraft in this elliptic orbit, determine (a) the 12 Mm ximum altitude, (b) its period of orbit, 10.70 A spacecraft coasting along a parabolic trajectory SQ to approach the planet Venus is shown. As it reaches the vertex Q of the trajectory SQ, its retrorockets are fired momentarily to decrease its speed and insert itself elliptic orbit as indicated. The ratio of the mass of Venus to the F o1F0 Dotormine the sneed of the enacnoret () arta Fig. P10.69

10-69 part A only!

dynamics problem

the ans should be 20.2Mm

Answer 1

R2 For planef-rocket system, Egravity & Frensipetal - Gmem a mv e va me velocity of spacecraft Initially = 6.67X10" X 5.072x1024 12x106 - 1.80 5.60 x103 m/sec. Final speel - 5.60 x103 + 1x103 = 6,600103 NR

For eliptic eshit. where a is mon altitude. 2 (car R. ł 5.68003 12 6.66103) zack =) > = 1.618R. 0.712 (2ar R) = a. a = 0.7122 - 0.72 R 12X0.77241 0.44 = 1.618 x 12 x106m = 19.416 mm