Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter G, Problem 21PS
To determine
Find the eccentricity of the moon’s orbit.
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The moon’s orbit around the Earth is elliptical with the Earth at one focus and with eccentricity 0.0549. If the distance between the moon and Earth at the closest point is 363,300 km, determine the distance at the farthest point. Round to the nearest 100 km.
Comet Hale-Bopp, discovered in 1995, has an elliptical orbit with eccentricity 0.9951. The length of the orbit's major axis is 356.5 AU.
Find a polar equation for the orbit of this comet. (Round each value to four decimal places.)
r =
How close to the sun does it come? (Round your answer to four decimal places.)
AU
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The distance from the planet Pluto to the Sun is 4.43 × 10° km at
perihelion and 7.37 x 10° km at aphelion. Find the eccentricity of Pluto's
orbit.
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- The moon orbits Earth in an elliptical path with the center of Earth at one focus, as shown in the figure. The major and minor axes of the orbit have lengths of 768,800 kilometres and 767,641 kilometres, respectively. Find the least distance (perigee) and the greatest distance (apogee) from the center of the moon to the center of Earth.arrow_forwardThe number of cycles per second of a point in simple harmonic motion is its .arrow_forwardFor Questions 1 through 4, fill in each blank with the appropriate word or equation. For a point moving with uniform circular motion, the distance traveled per unit time by the point is called _______ velocity, and the amount of rotation per unit time is called ________ velocity.arrow_forward
- The Hale-Bopp comet, discovered in $1995,$ has an elliptical orbit with eccentricity 0.9951 and the length of the major axis is 356.5 AU. Find a polar equation for the orbit of this comet. How close to the sun does it come?arrow_forward3. The earth moves in an elliptic orbit about the sun, with the sun at one focus. The least and greatest distances of the earth from the sun are 91,446,000 miles and 94,560,000 miles respectively. How long are the major and minor axes?arrow_forwardThe moon orbits Earth in an elliptical path with the center of Earth at one focus, as shown. The major and minor axes of the orbit have lengths of 768,800 kilometers and 767,641 kilometers, respectively. Find the greatest and least distances (the apogee and perigee) from Earth’s center to the moon’s center.arrow_forward
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