Celestial orbits 487 5. The diameter of the Sun is approximately 1.4 million kil

Question

Celestial orbits 487 5. 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 l.25 AU. The orbit of the asteroid Apollo has an eccentricity of e 30.56 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? Copyright 2015 Pearson Education, Inc.

Explanation / Answer

5.) No, An ellipse is a figure in 2D plane whose sum of the distances from the two focii is constant.
The semimajor axis is 149,000,000 km and it has an eccentricity of 0.0167 meaning the distance from the center to either focii is 2.5 million km. Double this to find the distance between the foci, approximately 5 million kilometers.

Jupitor has the foci is true.

6.) The nearest point of the eliptical orbit, called perihelion and Pluto distance is 4.44 billion km from the Sun.

And at its most fartest point of the eliptical orbit, called aphelion, Pluto distance is 7.38 billion km of the Sun.

7.) Neptunes greatest distance is 4.55 billion km from the Sun. and that of pluto is 4.44 billion

     so, neptunes greatest distance is largest

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