A spacecraft is in a circular orbit around the planet kerbin at an altitude of 100 km. the radium of kerbin is 600km and the planet has a mass of M = 5.29*10^22kg. The universal gravitational constant is G = 6.67*10^-11 Write parametric equations for the position, velocity and acceleration vectors of the spacecraft in its orbital plane.
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A spacecraft is in a circular orbit around the planet kerbin at an altitude of 100 km. the radium of kerbin is 600km and the planet has a mass of M = 5.29*10^22kg. The universal gravitational constant is G = 6.67*10^-11
Write parametric equations for the position, velocity and acceleration vectors of the spacecraft in its orbital plane.
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- orbit, measured from the center of the planet is R = 2.2 × 107 m. The mass of the planet is M = 6.4 x 1024 kg. Problem 3: A satellite is orbiting around a planet in a circular orbit. The radius of theA satellite is launched to orbit the Earth at an altitude of 1.10 x 107 m for use in the Global Positioning System (GPS). Take the mass of the Earth to be 5.97 x 1024 kg and its radius 6.38 × 106 m. What is the orbital period, in hours, of this GPS satellite? 21.22 X Consider Kepler's Third Law. h With what speed, in m/s, does it orbit the Earth? m/sEvery few months, memes circulate claiming that certain alignments of the planets with the Earth will result in a change in the gravitational force you feel. Usually, these memes state that the alignment will counteract Earth's gravity slightly so you will feel less of a gravitational pull towards the Earth. Can this ever happen? Let's look at the numbers. What is the gravitational force (in N) of the Earth on you (ME = 5.97 ✕ 1024 kg, RE = 6380 km)? Say your mass is 68 kg. (Enter the magnitude.) What is the gravitational force (in N) of Jupiter on you when it is closest to Earth (MJ = 1.90 ✕ 1027 kg, RJE = 5.88 ✕ 108 km)? (Enter the magnitude.) By what factor would the mass of Jupiter need to increase to be equal to the gravitational force you feel from the Earth? Part 1 of 5 The gravitational force between two masses is given by Fg = −GMm r2 where G = 6.67 ✕ 10−11 m3/s2/kg. We can use this expression to determine the magnitude of the gravitational force you feel…
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