1. A Titan IV rocket has put your spacecraft in a circular orbit around Earth at
ID: 1767291 • Letter: 1
Question
1. A Titan IV rocket has put your spacecraft in a circular orbit around Earth at an altitude of 230 km. Calculate the force due to gravitational attraction between the Earth and the spacecraft in N if the mass of the spacecraft is 1850 kg.
you answer
2.
A Titan IV rocket has put your spacecraft in a circular orbit around Earth at an altitude of 260 km. What is your orbital velocity? Give your answer in m/s.
Your Answer:
3.
Your trip to Mars is accomplished by using an elliptic "transfer orbit" going from Earth to Mars as shown in Fig. 1. This trajectory assumes that Earth at departure, the Sun, and Mars at arrival, are aligned. Also, we will assume that Earth's and Mars' orbits around the sun are circular, with radii R1 = 149250000 km and R2 = 227750000 km, respectively.
What is the eccentricity, e , of the transfer orbit?
Your Answer:
4.
Around midcourse, a velocity adjustment is performed to eliminate the small errors introduced when departing from Earth's orbit. This adjustment is performed using one of the onboard thrusters. At the location where the adjustment is made, the velocity is 26485 m/s and should be 27000 m/s. Knowing that the thruster used for the maneuver generates a thrust of F= 7680 N, determine how long, in minutes, it should be turned on to adjust the velocity. The mass of the spacecraft is 2450 kg.
Your Answer:
5.
Recall that your trip to Mars is accomplished by using an elliptic transfer orbit going from Earth to Mars as shown in Fig. 1. This trajectory assumes that Earth at departure, the Sun, and Mars at arrival, are aligned.
If the transfer orbit has a semi-major axis of 191600000 km, how long, in days, would the interplanetary trip last? Hint: first, determine the period of the transfer orbit.
Your Answer:
Explanation / Answer
1)
F = G*Me*Ms/r^2
F = 6.67*10^-11*5.97*10^24*1850/((6371 + 230)^2*10^6)
F = 16906.450 N
2)
v^2/R= GM/R^2
V= sq root (GM/R)
= sqrt (6.673*10^-11*5.9742*10^24) / (6,631*10^3)
= 7753.734 m/s
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.