(a)
The orbital period Sun grazing comets whose aphelion distance is
(a)
Answer to Problem 44Q
Solution:
The orbital period and lifetime of Sun grazing comets are
Explanation of Solution
Given data:
The aphelion distance is
Formula used:
Write the expression for the orbital period from the Kepler law.
Here, the orbital time period is
Write the expression for the lifetime.
Here, the lifetime is
Explanation:
Calculate the semi major axis of the orbit.
Here, the aphelion distance is
Substitute
Write the expression for the orbital period.
Substitute
The comet can survive for 100 perihelion passages. Therefore, the value of
Write the expression for the lifetime.
Substitute
Conclusion:
Hence, the orbital period and lifetime of Sun grazing comets is
(b)
The orbital period and lifetime of Sun grazing comets whose aphelion distance is
(b)
Answer to Problem 44Q
Solution:
The orbital period and lifetime of Sun grazing comets are
Explanation of Solution
Given data:
The aphelion distance is
Formula used:
Write the expression for the orbital period.
Here, the orbital time period is
Write the expression for the lifetime.
Here, the lifetime is
Explanation:
Calculate the semi major axis of the orbit.
Here, the aphelion distance is
Substitute
Write the expression for the orbital period.
Substitute
Write the expression for the lifetime.
Substitute
Conclusion:
Hence, the orbital period and lifetime of Sun grazing comets are
(c)
The orbital period and lifetime of Sun grazing comets whose aphelion distance is
(c)
Answer to Problem 44Q
Solution:
The orbital period and lifetime of Sun grazing comets are
Explanation of Solution
Given data:
The aphelion distance is
Formula used:
Write the expression for the orbital period.
Here, the orbital time period is
Write the expression for the lifetime.
Here, the lifetime is
Explanation:
Calculate the semi major axis of the orbit.
Here, the aphelion distance is
Substitute
Write the expression for the orbital period.
Substitute
Write the expression for the lifetime.
Substitute
Conclusion:
Hence, the orbital period and lifetime of Sun grazing comets are
(d)
The orbital period and lifetime of Sun grazing comets whose aphelion distance is
(d)
Answer to Problem 44Q
Solution:
The orbital period and lifetime of Sun grazing comets are
Explanation of Solution
Given data:
The aphelion distance is
Formula used:
Write the expression for the orbital period.
Here, the orbital time period is
Write the expression for the lifetime.
Here, the lifetime is
Explanation:
Calculate the semi major axis of the orbit.
Here, the aphelion distance is
Substitute
Write the expression for the orbital period.
Substitute
Write the expression for the lifetime.
Substitute
Conclusion:
Hence, the orbital period and lifetime of Sun grazing comets are
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Chapter 15 Solutions
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