(a)
The orbital period of a hypothetical transneptunian object located at
Answer to Problem 24Q
The orbital period is
Explanation of Solution
The transneptunian objects or TNOs, first found about in February,
The largest transneptunian are also named as dwarf planets. A trans-Neptunian object is a kind of a planet or a minor planet among other celestial objects in the solar system that orbits the sun at greater orbital radii than Neptune and also a larger orbital speed.
As first TNO was Pluto that brought a new revolution in astronomy and after whose discovery, many astronomers wanted more TNOs like that. One of the astronomers, an American astronomer Clyde Tombaugh started researching for more such objects for a couple of years, but he found nothing.
After that for a long time, no astronomer had guts to go for research for such objects as sake of saving time and spending it in some productive work and also as they believed that there would be no more of such objects like transneptunian.
The
Here,
Write the expression for the time period of an object in a circular motion.
Rearrange the above expression for
Here,
Substitute
Rearrange the above expression for
Calculation:
Substitute
Conclusion:
Thus, the orbital period is
(b)
The time taken by a transneptunian object to move
Answer to Problem 24Q
The time taken by a transneptunian object to move
Explanation of Solution
Given:
There are
There are
The orbital period is
Concept used:
The circle has a total arc argument of
Write the expression of the relation between the degree and the arcminute.
Simplify above for
The time taken to complete a circle is called as the orbital period or time taken to traverse
Write the expression for the time taken to traverse
Here,
Calculation:
Substitute
Conclusion:
Thus, the time taken by a transneptunian object to move
(c)
The reason that the astronomical discoveries require patience.
Answer to Problem 24Q
The discoveries related to transneptunian objects require patience because it asks for a huge amount of time too.
Explanation of Solution
Concept used:
As 1st TNO was Pluto that brought a new revolution in astronomy and after whose discovery, many astronomers wanted more TNOs like that. One of the astronomers, Clyde Tombaugh started researching for more such objects for a couple of years, but he found nothing.
After that for a long time, no astronomer had guts to go for research for such objects as sake of saving time and spending it in some productive work and also as they believed that there would be no more of such objects like transneptunian.
They thought that there would be no more such objects because the transneptunian objects or TNOs take a huge amount of time to complete the orbit around sun, they are so slow that approximately they take
This is because the discoveries related to transneptunian object take a lot amount of time and with that requires patience.
Conclusion:
Thus, the discoveries related to transneptunian object require patience because it asks for a huge amount of time too.
(d)
The reason that transneptunian objects requires large telescopes equipped with sensitive detectors.
Answer to Problem 24Q
The discovery of transneptunian objects requires large telescopes equipped with sensitive detectors because of larger distance and smaller orbital radii of them.
Explanation of Solution
Concept used:
A trans-Neptunian object is a kind of a planet or a minor planet among other celestial objects in the solar system that orbits the sun at greater orbital radii than Neptune and with also a larger orbital speed.
The name transneptunian also suggests that these objects are far beyond the Neptune and therefore, this huge distance of about
This huge magnitude of distance requires the large telescopes with larger range and also the TNOs are very small in diameter, that’s because to make successful studies over there, the telescopes equipped with sensitive detectors.
Conclusion:
Thus, the discovery of transneptunian objects requires large telescopes equipped with sensitive detectors because of larger distance and smaller orbital radii of them.
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Chapter 7 Solutions
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