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A planet or asteroid orbits the Sun in an elliptical path'. The diagram shows two points of interest: point P, the perihelion, where the planet is nearest to the Sun, and the far point, or aphelion, at point A. At these two points (and only these two points), the velocity v of the planet is perpendicular to the corresponding "radius" vector i, from the Sun to the planet. An arbitrary point Q is also shown. P Suppose the asteroiď's speed at aphelion is vą = 900 m/s, and it's distance from the sun there is ra = 35 AU (AU is the "astronomical unit", commonly used in planetary astronomy). a) Determine the planet's speed Vp at perihelion. b) Determine the planet's distance rp from the Sun (in AU) at perihelion.

A planet or asteroid orbits the Sun in an elliptical path'. The diagram shows two points of interest: point P, the perihelion, where the planet is nearest to the Sun, and the far point, or aphelion, at point A. At these two points (and only these two points), the velocity v of the planet is perpendicular to the corresponding "radius" vector i, from the Sun to the planet. An arbitrary point Q is also shown. P Suppose the asteroiď's speed at aphelion is vą = 900 m/s, and it's distance from the sun there is ra = 35 AU (AU is the "astronomical unit", commonly used in planetary astronomy). a) Determine the planet's speed Vp at perihelion. b) Determine the planet's distance rp from the Sun (in AU) at perihelion.

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A planet or asteroid orbits the Sun in an elliptical path'. The diagram shows two points of interest: point P, the perihelion, where the planet is nearest to the Sun, and the far point, or aphelion, at point A. At these two points (and only these two points), the velocity v of the planet is perpendicular to the corresponding "radius" vector 7, from the Sun to the planet. An arbitrary point Q is also shown. vo A Suppose the asteroid's speed at aphelion is vą = 900 m/s, and it's distance from the sun there is ra = 35 AU (AU is the "astronomical unit", commonly used in planetary astronomy). a) Determine the planet's speed vp at perihelion. b) Determine the planet's distance rp from the Sun (in AU) at perihelion.
Transcribed Image Text:A planet or asteroid orbits the Sun in an elliptical path'. The diagram shows two points of interest: point P, the perihelion, where the planet is nearest to the Sun, and the far point, or aphelion, at point A. At these two points (and only these two points), the velocity v of the planet is perpendicular to the corresponding "radius" vector 7, from the Sun to the planet. An arbitrary point Q is also shown. vo A Suppose the asteroid's speed at aphelion is vą = 900 m/s, and it's distance from the sun there is ra = 35 AU (AU is the "astronomical unit", commonly used in planetary astronomy). a) Determine the planet's speed vp at perihelion. b) Determine the planet's distance rp from the Sun (in AU) at perihelion.
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