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)
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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)
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- 1- MODIS is an Earth Observation sensor onboard TERRA spacecraft flying in a near-polar circular orbit with an orbital period of 98.8 minutes. The width of the swath imaged by MODIS is 2330 km. A- How many orbits does TERRA trace in one day? B- Assuming that the Earth rotates around its polar axis at a rate of 0.2618 rd/hr and that the equatorial radius is 6378 km, do two consecutive swaths of MODIS overlap at the equator? (hint: the length of an arc = angle in rd * radius) C- The radius of the latitude circle at 35 deg is 5224.5 km. Do two consecutive swaths of MODIS overlap at latitude 35 deg? 2- An aerostationary orbit for Mars is equivalent to a geostationary orbit for Earth. It is designed to enable a satellite in that orbit to image always the same surface of Mars. Calculate the altitude of an aerostationary orbit assuming that Mars is spherical, that its sidereal rotational period is 1.02595676 Earth days, its equatorial radius is 3389.50 km and its mass is…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.3.6 A spacecraft is approaching Venus with V = 10 km/s and b = 10,000 km. What will be the periapsis radius at Venus? Solution: 7266 km.
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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}(a) Jupiter's third-largest natural satellite, Io, follows an orbit with a semimajor axis of 422,000 km (4.22 ✕ 105 km) and a period of 1.77 Earth days (PIo = 1.77 d). To use Kepler's Third Law, we first must convert Io's orbital semimajor axis to astronomical units. One AU equals 150 million km (1 AU = 1.50 ✕ 108 km). Convert Io's a value to AU and record the result. aIo = AU (b) One Earth year is about 365 days. Convert Io's orbital period to Earth years and record the result. PIo = yr (c) Use the Kepler's Third Law Calculator to calculate Jupiter's mass in solar units. Record the result. MJup(Io) = MSun (d) Based on this result, Jupiter's mass is about that of the Sun. Jupiter has a similar fraction of the Sun's volume. The two objects therefore have rather similar density! In fact, Jupiter has a fairly similar composition as well: most of its mass is in the form of hydrogen and helium.While looking through the Mt. Palomar telescope, you discover a large planetary object orbited by a single moon. The moon orbits the planet every 7.35 hours with the centers of the two objects separated by a distance roughly 2.25 times the radius of the planet. Fellow scientists speculate that the planet is made of mostly iron. In fact, the media has dubbed it the ''Iron Planet'' and NASA has even named it Planet Hephaestus after the Greek god of iron. But you have your doubts. Assuming the planet is spherical and the orbit circular, calculate the density of Planet Hephaestus.