Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 5, Problem 32QAP
To determine
The position of the Jupiter with respect to the sun at various instants and will the Jupiter and Sun both ever be on same side of center of mass at any point.
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If the semi-major axis, a, is measured in AU and the orbital period, p, is measured in years, then Kepler's 3rd law allows us to calculate the mass of the object they are orbiting using the following equation: M = a3/p2
Furthermore, the mass that is calculated by this equation is given in solar masses (MSun) where, by definition, the Sun's mass is 1 MSun.
Now, suppose I were to tell you that the mass of Jupiter is equal to 4.5e7 MSun.
Does the stated mass of Jupiter make sense?
it is to big or to small or makes sense
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Let's define the gravitational pull between Earth and the Sun as 1 Earth-pull. What is the pull that Jupiter has on the Sun in Earth-pulls? Jupiter has a mass of 318 Earth masses. Jupiter is located at 5.20 AU from the Sun.
Chapter 5 Solutions
Understanding Our Universe
Ch. 5.1 - Prob. 5.1CYUCh. 5.2 - Prob. 5.2CYUCh. 5.3 - Prob. 5.3CYUCh. 5.4 - Prob. 5.4CYUCh. 5.5 - Prob. 5.5CYUCh. 5.6 - Prob. 5.6CYUCh. 5 - Prob. 1QAPCh. 5 - Prob. 2QAPCh. 5 - Prob. 3QAPCh. 5 - Prob. 4QAP
Ch. 5 - Prob. 5QAPCh. 5 - Prob. 6QAPCh. 5 - Prob. 7QAPCh. 5 - Prob. 8QAPCh. 5 - Prob. 9QAPCh. 5 - Prob. 10QAPCh. 5 - Prob. 11QAPCh. 5 - Prob. 12QAPCh. 5 - Prob. 13QAPCh. 5 - Prob. 14QAPCh. 5 - Prob. 15QAPCh. 5 - Prob. 16QAPCh. 5 - Prob. 17QAPCh. 5 - Prob. 18QAPCh. 5 - Prob. 19QAPCh. 5 - Prob. 20QAPCh. 5 - Prob. 21QAPCh. 5 - Prob. 22QAPCh. 5 - Prob. 23QAPCh. 5 - Prob. 24QAPCh. 5 - Prob. 25QAPCh. 5 - Prob. 27QAPCh. 5 - Prob. 28QAPCh. 5 - Prob. 29QAPCh. 5 - Prob. 30QAPCh. 5 - Prob. 31QAPCh. 5 - Prob. 32QAPCh. 5 - Prob. 34QAPCh. 5 - Prob. 35QAPCh. 5 - Prob. 36QAPCh. 5 - Prob. 37QAPCh. 5 - Prob. 38QAPCh. 5 - Prob. 39QAPCh. 5 - Prob. 40QAPCh. 5 - Prob. 41QAPCh. 5 - Prob. 42QAPCh. 5 - Prob. 43QAPCh. 5 - Prob. 44QAPCh. 5 - Prob. 45QAP
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- An exoplanetary system has two known planets. Planet X orbits in 290 days and Planet Y orbits in 145 days. Which planet is closest to its host star? If the star has the same mass as the Sun, what is the semi-major axis of the orbits for Planets X and Y?arrow_forwardDetermine the escape velocity in Nereid in Neptune, which has radius of 170 km and g=0.071 m/s^2. express your answer in mile/s.arrow_forwardFor two moons (Moon A and Moon B) with the same mass, both in circular orbits about Mars, how many times more quickly or slowly is Moon B moving along its orbit if it is 9 times farther from Mars’ center than Moon A?arrow_forward
- One planet is three times farther from the Sun than another. Will the farther planet take more, less, or the same amount of time to orbit the Sun? Will the closer planet orbit slower, faster, or the same speed? How much longer will the farther planet take to orbit than the closer planet? If the closer planet is located at 10 AU, how far is the farther planet, and what are the two planet's names?arrow_forwardKepler’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_forwardWhy do we say the Neptune was the first planet to be discovered through the use of mathmatics?arrow_forward
- Suppose that the radius of the Sun were increased to 5.90 * 10^12 m (the average radius of the orbit of Pluto), that the density of this expanded Sun were uniform, and that the planets revolved within this tenuous object. (a) Calculate Earth’s orbital speed in this new configuration. (b) What is the ratio of the orbital speed calculated in (a) to Earth’s present orbital speed of 29.8 km/s? Assume that the radius of Earth’s orbit remains unchanged. (c) What would be Earth’s new period of revolution? (The Sun’s mass remains unchanged.)arrow_forwardWhat is planetary motion through Kepler's law?arrow_forwardCalculate its weight at the following locations (i) Moon, gm = 1.62 m/s2 (ii) Sun, gs = 274.68 m/s2 (iii)Mercury, gme = 3.53 m/s2 (iv) Jupiter, gj = 26.0 m/s2 (v) Saturn, gsa = 11.2 m/s2 and (vi) Venus, gv =8.54 m/s2. (Please gave me clean solution thank you)arrow_forward
- A certain binary system consists of two stars that have equal masses and revolve in circular orbits around a fixed point half-way between them. If the orbital velocity of each star is v=186 km/s and the orbital period of each is 11.3 days, calculate the mass M of each star. Give your answer in units of the solar mass, 1.99×1030 kg (e.g. if each planet's mass is 3.98×1030 kg, you would answer "2.00").arrow_forwardUsing planetary motion, prove that the planet always being bound to the attracting solar center and never escapes from it.arrow_forward
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