3. A circle is a special ellipse: one with the foci at one point. The eccentricity of a circle is 0. The valueof the eccentricity of an orbit may run from 0 to 1, with 1 being basically a straight line. Estimate theeccentricities for the following ellipses:a)e =ab)

Required : Estimated value of eccentricity.

Answered: A circle is a special ellipse: one with…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And Gravitation

Section: Chapter Questions

Problem 47AP: (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77...

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When Sedna was discovered in 2003, it was the most distant object known to orbit the Sun. Currently, it is moving toward the inner solar system. Its period is 10,500 years. Its perihelion distance is 75 AU. a. What is its semimajor axis in astronomical units? b. What is its aphelion distance?
Comet Halley (Fig. P11.21) approaches the Sun to within 0.570 AU, and its orbital period is 75.6 yr. (AU is the symbol for astronomical unit, where 1 AU = 1.50 1011 m is the mean EarthSun distance.) How far from the Sun will Halleys comet travel before it starts its return journey?
(a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.
asap do all steps please An asteroid in our Solar System has an eccentricity of 0.550 and a perihelion (closest to Sun) distance of 0.800 AU (Astronomical Units). a)What is its semimajor axis in AU? b)What is its orbital period in Earth years? (Hint: use the simpler form of Kepler’s law for orbitsaround our Sun. You do not need to know 1AU in m). c)What is the ratio of its maximum to minimum speedduring its orbit, vmax/vmin (3 sig figs)? (Hint: use a conservation law) d)Choose one: The asteroid’s total mechanical energy is: i) positive, ii) zero iii) negative, iv) any of theaboveare possible. e) The Earth’s orbit is very close to circular and draw it as acircle of radius 1AU (OK to trace sometime at least the size of a quarter or draw by hand). Label an “S” where the Sunis. Carefully mark theperihelion of the asteroid to the left of the Sun with a “P” and aphelion with an “A” to the right of the Sunto scale (use your ruler to measure it). Show the extent of the asteroid’s semimajor…
Neptune orbits the Sun with an orbital radius of 4.495 x 10^12 m. If the earth to sun distance 1A.U. = 1.5 x 10^11 m, a) Determine how many A.U.'s is Neptune's orbital radius (Round to the nearest tenth). b) Given the Sun's mass is 1.99 x10^30 kg, use Newton's modified version of Kepler's formula T^2 = (4pi^2/Gm(star)) x d^3 to find the period in seconds using scientific notation. (Round to the nearest thousandth). C) Convert the period in part b) to years (Round to the nearest tenth)
Pls solve accurate and exact answer pls
3
Pls solve accurate and asap
Mars has a Known radius of 3390 Km. Somebody threw a baseball at 990 Km/hr and it orbited the planer succesfuly. a) determine the period of orbit in secords b) Determine the gravitational field strength on Mars in N/Kg (how can I do that if I don´t have the mass of Mars)
Planet X with a radius of 4.0 Rearth⊕ is found orbiting a star of mass 0.80M⊙ . The eccentricity of its orbit is 0.05, and at its farthest approach to the star, it is 0.63 AU away, while at its closest approach to the star, it is 0.57 AU away. a. How long does it take Planet X to make a complete orbit around its star in years? b.The semi major axis of the planet is changed such that its closest approach to the star is now 2.9 AU. Would the gravitational force exerted by the star on Planet X increase or decrease? By what factor? Would the gravitational force exerted by Planet X on the star increase or decrease? By what factor? c. The mass of the star was increased to 2.4M⊙ . Would the gravitational force exerted by it on Planet X increase or decrease? By what factor? Would the gravitational force exerted by Planet X on the star increase or decrease? By what factor? d. What must the mass of Planet X be in Mearth⊕ such that an astronaut on its surface would have the same weight as…
Planet X with a radius of 4.0 Rearth⊕ is found orbiting a star of mass 0.80M⊙ . The eccentricity of its orbit is 0.05, and at its farthest approach to the star, it is 0.63 AU away, while at its closest approach to the star, it is 0.57 AU away. a. How long does it take Planet X to make a complete orbit around its star in years? b.The semi major axis of the planet is changed such that its closest approach to the star is now 2.9 AU. Would the gravitational force exerted by the star on Planet X increase or decrease? By what factor? Would the gravitational force exerted by Planet X on the star increase or decrease? By what factor? c. The mass of the star was increased to 2.4M⊙ . Would the gravitational force exerted by it on Planet X increase or decrease? By what factor? Would the gravitational force exerted by Planet X on the star increase or decrease? By what factor?
For venus system:

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A circle is a special ellipse: one with the foci at one point. The eccentricity of a circle is 0. The value of the eccentricity of an orbit may run from 0 to 1, with 1 being basically a straight line. Estimate the eccentricities for the following ellipses: a) e= c)