21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 3, Problem 6QP
To determine
What happens while the elliptical moving planet is closer to the star and far away.
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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)
A planet with 20 times the earth's mass and 3 times its radius exists. It orbits a star with twice the sun's mass with a circular orbit of radius 18 AU where 1 AU is the earth sun distance.1. What is the period of the planet's orbit in years?
2. Suppose something weighs 1600 books (books is a unit of mass) on that planet, what is it weight on earth in books?
A planet in a circular orbit about a star has an orbital radius of 3.70 au . If the star has a mass that is 1.80 times our own Sun's mass, determine the time ? , in units of Earth years, for one revolution of the planet around the star.T = ? Earth years
Chapter 3 Solutions
21st Century Astronomy
Ch. 3.1 - Prob. 3.1ACYUCh. 3.1 - Prob. 3.1BCYUCh. 3.2 - Prob. 3.2CYUCh. 3.3 - Prob. 3.3CYUCh. 3.4 - Prob. 3.4CYUCh. 3 - Prob. 1QPCh. 3 - Prob. 2QPCh. 3 - Prob. 3QPCh. 3 - Prob. 4QPCh. 3 - Prob. 5QP
Ch. 3 - Prob. 6QPCh. 3 - Prob. 7QPCh. 3 - Prob. 8QPCh. 3 - Prob. 9QPCh. 3 - Prob. 10QPCh. 3 - Prob. 11QPCh. 3 - Prob. 12QPCh. 3 - Prob. 13QPCh. 3 - Prob. 14QPCh. 3 - Prob. 15QPCh. 3 - Prob. 16QPCh. 3 - Prob. 17QPCh. 3 - Prob. 18QPCh. 3 - Prob. 19QPCh. 3 - Prob. 20QPCh. 3 - Prob. 21QPCh. 3 - Prob. 22QPCh. 3 - Prob. 23QPCh. 3 - Prob. 24QPCh. 3 - Prob. 25QPCh. 3 - Prob. 26QPCh. 3 - Prob. 27QPCh. 3 - Prob. 28QPCh. 3 - Prob. 29QPCh. 3 - Prob. 30QPCh. 3 - Prob. 31QPCh. 3 - Prob. 32QPCh. 3 - Prob. 33QPCh. 3 - Prob. 34QPCh. 3 - Prob. 35QPCh. 3 - Prob. 36QPCh. 3 - Prob. 37QPCh. 3 - Prob. 38QPCh. 3 - Prob. 39QPCh. 3 - Prob. 40QPCh. 3 - Prob. 41QPCh. 3 - Prob. 42QPCh. 3 - Prob. 43QPCh. 3 - Prob. 44QPCh. 3 - Prob. 45QP
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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?arrow_forwardIf you lived on Mars, which planets would describe retrograde loops? Which would never be visible as crescent phases?arrow_forwardIf a space probe were sent into an orbit around the Sun that brought it as close as 0.5 AU to the Sun and as far away as 5.5 AU, what would its orbital period be?arrow_forward
- What is the semimajor axis of a circle of diameter 24 cm? What is its eccentricity?arrow_forwardIf G = 6.674 ⨉ 10 −11m3/kg/s 2and M Earth= 5.972 ⨉ 10 24kg and the sidereal period of the Earth is 27.32 days, then, from Kepler’s third law in #4, what is the expected orbital distance of the Moon?arrow_forwardPlanet 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?arrow_forward
- 2. The planet Jupiter has an orbital period of 4332.8 days, and its greatest distance (aphelion distance) from the Sun is 5.455 AU {where 1 AU = 1 Astronomical Unit = 1.496x10'' m}. The mass of the planet Jupiter is 1.898x1027 kg and the mass of the Sun is 1.988x1030 kg. {G = 6.67x10'" Nm/kg?) (a) Calculate the perihelion distance (closest distance) in Astronomical Units (AU) of the planet Jupiter from the Sun. (b) Calculate the eccentricity of planet Jupiter's orbit around the Sun. (c) Calculate the smallest speed of planet Jupiter around the Sun in km/s. At what point in Jupiter's orbit does Jupiter have its smallest speed?arrow_forwardA projectile is fired straight upward from planet's surface with a speed that is 1/7 the planet's escape speed. Let R be the radius of the planet. What is the highest distance from the center of the planet in units of R the projectile will reach? Give your answer to three significant figures.arrow_forwardPluto’s orbit around the Sun is highly elliptical compared to the planets in our Solar System. It has a perihelion distance of 29.7 AU and an aphelion distance of 49.5 AU. a) What is the semi-major axis of Pluto’s orbit, in AU? b) What is Pluto’s orbital period, in Earth years?arrow_forward
- Distance Orbital Period Mercury 0.39 AU 88 days Venus 0.72 AU 225 days Earth 1.00 AU 365 days Mars 1.52 AU 687 days (a) Calculate the average distance of Mercury, Venus and Mars to the Earth. Which one of these planets is the closest to Earth on average? (b) Calculate the average distance of Mercury, Venus and Earth to Mars. Which one of these planets is the closest to Mars on average? (c) What do you expect for the other planets? Hint: Assume circular orbits and use symmetries to make the distance calculation easier. You can approximate the average distance by using four well-chosen points on the planet’s orbit.arrow_forwardUs Kepler's 3rd Law to calculate the mass of a star which has a planet orbiting at 2.35 A.U. and takes 4.56 Earth years to complete one full orbit. a. 0.600-0.610 b. 0.623-0.625 c. 0.653-0.675 d. 0.733-0.775arrow_forwardA planet with a mass of 7.5 × 1025 kg moves around a 9.5 × 1031 kg star in a perfectly circular orbit. The radius of the orbit is 9.3 × 107 km.(a) What is the magnitude of the force of gravity that the star exerts on the planet? Give your answer in Newtons. (b) What is the speed of the planet’s orbit around the star, in units of km/s?(c) What is the period of the planet’s orbit around the star, in Earth days.arrow_forward
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