The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is closest to the sun is called perihelion, and the point at whic s farthest is called aphelion. These points are the vertices of the orbit. A planet's distance from the sun is 107,000,000 km at perihelion and 109,000,000 km at aphelion. Find an equation for the planet's orbit. (Place the origin at the center of the orbit with the sun on the x-axis. Use the following as necessary: x, y.) Aphelion Perihelion

The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is closest to the sun is called perihelion, and the point at whic s farthest is called aphelion. These points are the vertices of the orbit. A planet's distance from the sun is 107,000,000 km at perihelion and 109,000,000 km at aphelion. Find an equation for the planet's orbit. (Place the origin at the center of the orbit with the sun on the x-axis. Use the following as necessary: x, y.) Aphelion Perihelion

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter7: Conic Sections

Section7.2: Ellipses

Problem 67E: Lunar Orbit For an object in an elliptical orbit around the moon, the points in the orbit that are...

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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.
Label the vertices and foci on the graphs given for the ellipses in Exercises 2 and 3. (a)x252+y242=1 (b) x242+y252=1
Lunar Orbit For an object in an elliptical orbit around the moon, the points in the orbit that are closest to and farthest from the center of the moon are called perilune and apolune, respectively. These are the vertices of the orbit. The center of the moon is at one focus of the orbit. The Apollo 11 spacecraft was placed in a lunar orbit with perilune at 68 mi and apolune at 195 mi above the surface of the moon. Assuming that the moon is a sphere of radius 1075 mi, find an equation for the orbit of Apollo 11. (Place the coordinate axes so that the origin is at the center of the orbit and the foci are located on the x-axis)
Label the focus, directrix, and vertex on the graph given for the parabolas in Exercise 2 and 3. x2=12y y2=12x