Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 4, Problem 23Q
To determine
The semi-major axis of the spacecraft’s orbit and its orbital period.
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Pluto’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?
(to two decimal places): (what is ‘h’?)
Eccentricity of earth orbit is 0.0167
µ(sun) = 1.32712E+11 km^3/s^
semimajor axis of Earth orbit = 1.49598E+08
need to figure out what ‘h’ is.
a) Calculate the speed of the earth around the sun at aphelion? (29.29 KM/S)
b) At perihelion? (30.29 KM/S)
A planet is about 7.79 x 108 km (orbital radius) from the sun. It takes 1,425 days for the planet to go around its orbit (assume circular orbit). What is the orbital velocity in km/sec of the planet along its orbital path? What is its acceleration toward the sun in km/sec2? (Force attraction of sun = ma = mv2); r = orbital radius
r
Chapter 4 Solutions
Universe: Stars And Galaxies
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 14QCh. 4 - Prob. 15QCh. 4 - Prob. 16QCh. 4 - Prob. 17QCh. 4 - Prob. 18QCh. 4 - Prob. 19QCh. 4 - Prob. 20QCh. 4 - Prob. 21QCh. 4 - Prob. 22QCh. 4 - Prob. 23QCh. 4 - Prob. 24QCh. 4 - Prob. 25QCh. 4 - Prob. 26QCh. 4 - Prob. 27QCh. 4 - Prob. 28QCh. 4 - Prob. 29QCh. 4 - Prob. 30QCh. 4 - Prob. 31QCh. 4 - Prob. 32QCh. 4 - Prob. 33QCh. 4 - Prob. 34QCh. 4 - Prob. 35QCh. 4 - Prob. 36QCh. 4 - Prob. 37QCh. 4 - Prob. 38QCh. 4 - Prob. 39QCh. 4 - Prob. 40QCh. 4 - Prob. 41QCh. 4 - Prob. 42QCh. 4 - Prob. 43QCh. 4 - Prob. 44QCh. 4 - Prob. 45QCh. 4 - Prob. 46QCh. 4 - Prob. 47QCh. 4 - Prob. 48QCh. 4 - Prob. 49QCh. 4 - Prob. 50QCh. 4 - Prob. 51QCh. 4 - Prob. 52QCh. 4 - Prob. 53QCh. 4 - Prob. 54QCh. 4 - Prob. 55QCh. 4 - Prob. 56QCh. 4 - Prob. 57QCh. 4 - Prob. 58Q
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- 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?arrow_forwardWhat is the semimajor axis of a circle of diameter 24 cm? What is its eccentricity?arrow_forwardWhich major planet has the largest . . . A. semimajor axis? B. average orbital speed around the Sun? C. orbital period around the Sun? D. eccentricity?arrow_forward
- Kepler’s third law says that the orbital period (in years) is proportional to the square root of the cube of the mean distance (in AU) from the Sun (Pa1.5) . For mean distances from 0.1 to 32 AU, calculate and plot a curve showing the expected Keplerian period. For each planet in our solar system, look up the mean distance from the Sun in AU and the orbital period in years and overplot these data on the theoretical Keplerian curve.arrow_forwardWhat is the average distance from the Sun (in astronomical units) of a planet with an orbital period of 45.66 years?arrow_forwarda) What is the semimajor axis of the spacecraft’s elliptical orbit around the Sun (in AU)? Hint: The semimajor axis of Earth’s orbit is 1 AU and the semimajor axis of Mars’ orbitis 1.52 AU. Consider the diagram above and assume for simplicity that the orbits of Earth and Mars are circular. b) What would be the period of the spacecraft’s orbit around the Sun (in Earth years)? c) Assuming that the spacecraft’s launch is timed properly to arrive at Mars, what is the time required (in days) for the spacecraft to reach Mars from Earth?arrow_forward
- Two planets orbit the same star in circular orbits. One orbits at a distance of 167AU and takes 1.5days to complete an orbit. The second planet orbits at a distance of 4.7 AU. How long does it take the the second planet to complete one orbit? answer in days.arrow_forwardSaturn has an angular size of 16”, and an observed Synodic Period of 1.035yrs. Saturn’s moon, Titan orbits the planet with an angular separation of 192”, with a period of 15.9days. From these observations we can determine Saturn’s mass. Use the Sidereal Period of Saturn above to find the distance to Saturn from the Sun.arrow_forwardOne year on Planet AAA is 5 time the length of one earth year and it orbits its sun at an average distance 4.38 AU. Planet ZZZ orbits the same sun at an average distance of 2.53 AU. Determine the length of one year on Planet ZZZ in earth days.arrow_forward
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