elliptical orbit about the sun. Suppose it takes 0.145 of a period for the comet to travel from perihelion to a point on the trajectory for which the distance from the sun to the comet is equal to the semi-major axis of the ellipse. Find the ec
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Suppose you have a comet in an elliptical orbit about the sun. Suppose it takes 0.145 of a period for the comet to travel from perihelion to a point on the trajectory for which the distance from the sun to the comet is equal to the semi-major axis of the ellipse. Find the eccentricity of the ellipse.
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- Satellite 1 has a mass m_1m1 and is located a distance r_1r1 away from the center of its host planet. Satellite 2 has half the mass as Satellite 1, but is located four-times the distance from the center of the host planet as Satellite 1. Determine the ratio of the magnitudes of the force of gravity between Satellite 1 and the planet to the force of gravity between Satellite 2 and the planet Ratio = Fplanet-on-1/ Fplanet-on-2Jupiter has lots of moons in orbit around it. One of those moons, Io, was first observed by Galileo (using an early telescope). Io has an average orbital radius about Jupiter of about 4.2 x 108 m and an orbital period of about 1.8 days. Using this data, calculate Jupiter’s mass.Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).
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- The orbit of a 1.5 x 1010 kg comet around the Sun is elliptical, with an aphelion distance of 11.0 AU and perihelion distance of 0.890 AU. (Note: 1 AU = one astronomical unit = the average distance from the Sun to the Earth = 1.496 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?Kepler's Third Law means that all orbits with the same semi-major axis have the same period. How can it take the same amount of time to travel each of these paths when the lengths of the paths are so different?Using a diagram, define the meanings of the following terms when applied to the elliptical path of a body orbiting the Sun:(i) Semi-major axis(ii) Semi-minor axis (iii) Aphelion(iv) PerihelionState the mathematical expressions for the perihelion and the aphelion in terms of the semi-major axis, a, and the eccentricity, e.