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- Suppose that the moon rotates on its axis once every 29.5 days. The equator lies on a circle with a radius of 1079 miles. (a) Find the angular speed of a point on its equator in radians per year (365 days). (b) Find the linear speed of a point on the equator in miles per years. Do not round any intermediate computations, and round your answer to the nearest whole number.A mood of a mass m and raduis a is orbiting a planet of mass M and if radius b at a distance d (center to center) in a circular orbit. Derive an expression for the speed of the mood v in terms of M,d and the gravitational constant G.c) Draw the expected tidal record (tidal height relative to mean sea level versus time) for the month illustrated above. Annotate the four points of time represented in the figure below. How are these tides called? Moon Moon Sun Sun Moon Moon Sun Sun
- Given the orbital radius and period of a moon, derive an algebraic solution for the mass of the planet that moon orbits. Watch those units, convert to SI.(a) (c) A certain satellite has eccentricity of 9.5981 x 10-3 and its semimajor axis is known to be 7194.9 km. The true anomaly v of the satellite is 204.81° and the mean motion is 14.2171404 rev/day. Calculate i. ii. iii. iv. V. Given the orbital elements of a particular satellite are: (i) the orbital period of the satellite in minutes. the magnitude of position vector r. position vector r in PQW frame. altitude of the satellite at zenith. satellite velocity at epoch (ii) = 300°; w = 60°; i = 65°; rp = -6500 km; ro = 4000 km Calculate the position vector r in the IJK frame. Calculate the magnitude of position vector.Problem 3. A tracking station determines that an Earth-observation satellite has perigee and apogee altitudes of 350 and 1,206 km, respectively. Determine the orbital period (in minutes) and the parameter p.