Question 1. A stone with a mass of 5 kg is dropped from the top of the Grand Canyon. It is 3600 feet to the bottom. How long will it take for the stone to hit the ground (neglecting air resistance)? How fast will the stone be traveling just before it hits the ground?
Question 2. A micrometeorite collection system is returned to Earth from its mother ship. If the reentry velocity of the capsule is 8.2 km/s, the reentry flight-path is 12 degrees, and the BC is 1100 kg/m^2, determine: a. The maximum deceleration the capsule will experience, and at what altitude it will occur. b. The altitude of maximum heating rate, as well as the velocity at which it occurs.
Question 3. A satellite has the following position and velocity vectors: R vector = 5016I^ + 5520J^ + 853K^ (km) V vector = 0.25I^ - 0.77J^ - 6.12K^ (km/s) a. What is the specific angular momentum of the satellite? b. What is the satellite's inclination? c. Calculate the ascending node vector. d. What is the spacecraft's right ascension of the ascending node?
Question 4. A spacecraft is in an elliptical, polar orbit, with a semi major axis of 6910 km. It has an eccentricity of 0.18 and is at perigee as it passes the ascending node. Find the true anomaly 49 minutes later.
Question 5.What is the orbital velocity of the following circular orbits (at the altitudes listed)? a. 275 km b. 440 km c. 730 km
Question 6. Sea Launch mission planners are going to launch their Russian launch vehicle from an Lo = 5 degrees into LEO with an inclination of 39 degrees and a longitude of ascending node of 135 degrees. Current LST at the launch site is 1330.
a. How many launch opportunities will there be per day and why?
b. What is the launch window location angle for both opportunities?
c. What is LWSTAN?
d. How long until the LWSTAN?
e. What is the launch azimuth for the ascending node?
f. What is LWSTDN?
g. How long until LWSTDN?
Question 7. You are moving a satellite from a circular orbit at 650 km altitude to one at 385 km altitude. a. What is the energy of the transfer orbit? b. What is the velocity change (Delta V1) needed to go from the initial circular orbit into the transfer orbit? c. What is the velocity change (Delta V2) needed to go from the transfer orbit to the final circular orbit? d. What is the time (TOF) required for the transfer?
Question 8. Two spacecraft are in orbit together, holding station 400 yards apart. Both spacecraft have a mass of 2000.0 kg. What is the force of gravitational attraction between them?
Question 9. A satellite deployed into an orbit inclined 57 degrees at 370 km altitude needs to change to a polar orbit at the same altitude. What Delta V is required?
Question 10. A satellite is in Earth orbit with an altitude at perigee of 825 km and an altitude at apogee of 1450 km. a. What is the semi-major axis of the orbit? b. What is the eccentricity? c. If the true anomaly is 135 degrees, what is the satellite's altitude?
Attachment:- Questions.rar