The diameter of the Sun is approximately 1.4 million kilometers. Is it true that
ID: 2862656 • Letter: T
Question
The diameter of the Sun is approximately 1.4 million kilometers. Is it true that both foci of Earth's orbit are inside the Sun? For what planets is this statement true? 6. What is Pluto's greatest and least distance from the Sun? 7. Which is greater, Neptune's greatest distance from the Sun or Pluto's least distance from the Sun? Halley's Comet 8. Halley's Comet has a 76-year period and was last seen in 1985. It has one of the most eccentric elliptical orbits of all bodies orbiting the Sun (e = 0.967). The perihelion distance is 0.57 AU and the aphelion distance is 35.08 AU. Find the length of the major and minor axes of the orbit of Halley's Comet. 9. Find an equation of the orbit in Cartesian coordinates with the origin at the center of the orbit. 10. Find an equation of the orbit in polar coordinates with the Sun (one focus) at the origin. 11. Plot the orbit of Halley's Comet. Asteroids 12. Thousands of asteroids orbit the sun roughly between the orbits of Mars and Jupiter. The orbit of the asteroid Geographos has an eccentricity of e = 0.34 and a major axis of length 1.25 AU. The orbit of the asteroid Apollo has an eccentricity of e = 0.56 and a major axis of length 1.47 AU. Find an equation of the orbits of these asteroids in polar coordinates with the Sun (one focus) at the origin. 13. Plot the two orbits on the same graph. 14. What is the perihelion and aphelion distance of each asteroid? 15. Which asteroid comes closest to the Sun?Explanation / Answer
1.The earth's orbit has one inside the sun. The elliptical path that earth follows has very low eccentricity ( e =0.0167) and the second focii is far away from the sun.
No planet in solar system has both focii inside the sun.
2. Pluto's greatest distance from the sun = 7.38 billion Km
and least distance = 4.44 billion Km
3. Neptune greatest distance from the sun= 4.54 billion Km
So it is greater.