of a lunar approach trajectory is 250 km. If v2 = 0.5 km/s, calculate the required value of & and the Av at perilune required to place the probe in a circular prograde lunar orbit. {Ans.: 8 = - 7.745°, Av = 673 m/s}
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- (Answer both qestions very neatly and kindly explain all the terms in it). 1 (a) Perilune of a lunar approach trajectory is 250 km. If v2 = 0.5 km/s, calculate the required value of 6 and the Av at perilune required to place the probe in a circular prograde lunar orbit. {Ans.: 8 = 7.745°, Av = 673m/s} (b) Find the radial speed of the moon on April 30, 2025, at O6:00:00 UT. {Ans.: 56.7 m/s}Please answer the question and subquestions completely! This is one whole question which has subquestions! According to the official Bartleby guidelines, each question can have up to two subquestions! Thank you! 1) A missile is launched upward with a speed that is half the escape speed. What height (in radii of Earth) will it reach? R/4 R/3 R/2 R 2R A) The weight of a 0.60 kg object at the surface of Planet V is 20 N. The radius of the planet is 4 x 10 6 m. Find the gravitational acceleration at a distance of 2 x 10 6 m from the surface of this planet. 8.9 m/s2 11 m/s2 13 m/s2 18 m/s2 B) Two masses are precisely 1 m apart from each other. The gravitational force each exerts on the other is exactly 1 N. If the masses are identical, what is each mass? 1.22 x 105 kg 1.34 x 1010 kg 2.50 x 105 kg 1.58 x 1010 kg3) A spacecraft is in a circular orbit of 180 km altitude and inclination 30 deg. What is the spacing in kilometers, between successive ground tracks at the equator, including the effect of Earth's oblateness (that is, including the J2 effect). Ans: 2511.4 km
- A)At what altitude would a geostationary sattelite need to be above the surface of Mars? Assume the mass of Mars is 6.39 x 1023 kg, the length of a martian solar day is 24 hours 39minutes 35seconds, the length of the sidereal day is 24hours 37minutes 22seconds, and the equatorial radius is 3396 km. The answer can be calculated using Newton's verison of Kepler's third law.3. An instrument packaged is projected vertically upwards to collect data near the top of the earths atmosphere at an altitude of 900km. (a). What initial speed is required at the earths surface for the package to reach this height? (b). What percentage of the escape speed is this initial speed? 23:50(a) Calculate Jupiter's mass given the acceleration due to gravity at the north pole is 28.328 m/s² and the radius of Jupiter at the pole is 66,850 km. kg calculated M (b) Compare this with the accepted value of 1.898 x 1027 kg. Mcalculated M. accepted
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- The orbit of a 15 x 100 kg comet around the Sun is ellipcical, with an apholion distance of 28.0 AU and perihelon distance of 0.865 AU. (Nste: 1 AU - one astronomical unit = the average dstance trom the Sun to the Earth 1496 x 101 m) (a) What is its orbital eccentricity? (b) What is its period? (Enter your answer in yr.) yr (c) At aphelion what is the potential energy (in J) of the comet-Sun system?3.11. Assume astronomers discover a new planet with a characteristic horizontal velocity scale (at middle latitudes), and a rotation rate equal to Earth's. How small would a planet have to be in order that the effect of curvature term on the flow would be comparable to the Coriolis force? The book claims the answer is: a = 10° mAssume the orbit to be circular and 330 km above the surface of the Moon, where the acceleration due to gravity is 1.29 ms-2. The radius of the Moon is 1.701 × 106 m 1) Determine the period of the orbit 2) what was the astronasuts orbital speed .
