1 (a) Perilune of a lunar approach trajectory is 250 km. If v2 = 0.5 km/s, calculate the required value of d and the Av at perilune required to place the probe in a circular prograde lunar orbit. {Ans.: 6 = 7.745°, Av = 673m/s}
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- I don't know how to solve #3 #1 Orbital DynamicsSuppose a satellite is in orbit about the Earth at a height of 2500 km above the surface of the Earth. If the radius of the Earth is 6370 km, what is the radius of the satellite’s orbit? Recall that r = RE + H. #2 Orbital Dynamics In #1, what is the period of the satellite’s orbit in hours? It may be helpful to remember that G = 6.67 × 10^−11 kg−1m^s^−2, while mass of Earth = 5.96 × 10^24 kg. #3 Orbital DynamicsIn #1, what is the magnitude of the force of gravity if the satellite has a mass of 550 kg? A. 0.00 N B. 1,920 N C. 2,780 N D. 3,610 NOn February 20, 1962, John Glenn made the first U.S.-manned flight around the Earth for three orbits on Friendship 7. With Earth at one focus, the orbit of Friendship 7 is given approximately by r = 4090.76/(1 - 0.0076 cos θ), where r is measured in miles from Earth’s center. Use the formula and the figure shown to solve, How far from Earth’s center was John Glenn at his greatestdistance from the planet? Round to the nearest mile. If the radius of Earth is 3960 miles, how far was he from Earth’s surface at this point on the flight?For two satellites at distance Rand 7R above the Earth's surface , the ratio of their total energies is?
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- A satellite placed in a circular orbit at a radius of 1.5 earth radii (z ~ 3,185 km) has an orbital period of 155 minutes. What is the maximum interval the satellite could maintain a communication link with a ground station? Assume the satellite passes directly overhead the station, but must be at least 15° above the horizon to establish and maintain the communication link. Report your answer in minutes using three significant digits (e.g. 123). What is the maximum communication interval in minutes? (Answer: 30.1 Show steps)Show that the areal velocity for a circular orbit of radius r about a mass M is ΔA/Δt =1/2 √GMr . Does your expression give the correct value for Earth’s areal velocity about the Sun?In order better to map the surface features of the Moon, a 307 kg imaging satellite is put into circular orbit around the Moon at an altitude of 137 km. Calculate the satellite's kinetic energy ?, gravitational potential energy ?, and total orbital energy ?. The radius and mass of the Moon are 1740 km and 7.36×1022 kg.
- AVHRR/3 is a multispectral sensor onboard NOAA-15, a sun- synchronous platform that has an orbital period of 102.12 min. It has a swath width of 2900 km. How many AVHRR/3 orbits are produced per day? Do 2 consecutive orbits overlap at the equator? Explain your answer. (Hint: Assume Earth’s circumference at the equator = 40000 km)can you help get me the answer to this that's provided#1 Orbital DynamicsSuppose a satellite is in orbit about the Earth at a height of 2500 km above the surface of the Earth. If the radius of the Earth is 6370 km, what is the radius of the satellite’s orbit? Recall that r = RE + H. In #1, what is the period of the satellite’s orbit in hours? It may be helpful to remember that G = 6.67 × 10−11 kg−1m3s−2, while ME = 5.96 × 1024 kg. In addition recall that the formula for the orbital period is: ⃝ A. 2.31 hours ⃝ B. 3.59 hours ⃝ C. 5.12 hours ⃝ D. 8.27 hours ? r3T=2π GM (1)