Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Question
Chapter 4, Problem 23Q
To determine
The semi-major axis of the spacecraft’s orbit and the orbital period of the spacecraft, when the orbit of a spacecraft around the Sun has a perihelion distance of 0.1 au and an aphelion distance of 0.4 au.
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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 new mystery planet is detected around our Sun. We measure its position relative to the Sun to be 2 AU at perihelion and 6 AU at aphelion. What is the semimajor axis of this planet's orbit (in AU)?
With that information, what is the orbital period of that planet (in years)?
If this planet has the same mass as Earth, how does the average force of gravity on the planet by the Sun compare with the average force of gravity on the Earth by the Sun? Please give a numerical ratio of the forces. (Hint: You can take the semimajor axis to represent the average position of the planets)
6:this is all one question with multiples steps. Thank you
Chapter 4 Solutions
Universe
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