UNIVERSE LL W/SAPLINGPLUS MULTI SEMESTER
UNIVERSE LL W/SAPLINGPLUS MULTI SEMESTER
11th Edition
ISBN: 9781319278670
Author: Freedman
Publisher: MAC HIGHER
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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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The semimajor axis of Mars orbit is about 1.52 astronomical units (au), where an au is the  Earth's average distance from the Sun, meaning the semimajor axis of Earth's orbit is 1 au.  To go from Earth to Mars and use the least energy from rocket fuel, the orbit has a semimajor axis of 1.26 au and an eccentricity of about 0.21.  Starting at Earth's orbit, to follow this path we give the spacecraft an orbital velocity of 40 km/s.  Which of the following describes this best?     It arrives at Mars orbit at the same moment that Mars is there, and must speed up to go into an orbit next to Mars or else drop back into perihelion (closest to the Sun) at Earth's orbit.     It arrives at Mars orbit at the same moment that Mars is there, and must slow down to go into an orbit next to Mars or else drop back into perihelion (closest to the Sun) at Earth's orbit.     It flys past Mars on its trajectory unless it is braked by accelerating toward the Sun. It which leaves Earth when…
Planet X has 20 times the mass of the earth and four times the earth's radius. It orbits star Y at a distance of 18 AU, where 1 AU is the earth-sun distance. Star Y has twice the mass of our sun. What is the orbital period of Planet X in years?
If a space explorer is sent into an orbit around the Sun that brings it as close as 0.6 AU and as far 5.8 AU , what will be its orbital period?

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UNIVERSE LL W/SAPLINGPLUS MULTI SEMESTER

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