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Questions and Answers
Which astronomical phenomenon is the basis for defining a month?
Which astronomical phenomenon is the basis for defining a month?
Why do astronomical time systems pose problems when creating calendars?
Why do astronomical time systems pose problems when creating calendars?
What dictates the local time in astronomical time systems?
What dictates the local time in astronomical time systems?
What is the modern definition of one second (1 s)?
What is the modern definition of one second (1 s)?
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According to the Special Theory of Relativity, how does motion affect the passage of time?
According to the Special Theory of Relativity, how does motion affect the passage of time?
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How does a stronger gravitational field affect the passage of time, according to the General Theory of Relativity?
How does a stronger gravitational field affect the passage of time, according to the General Theory of Relativity?
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What is sidereal time defined as?
What is sidereal time defined as?
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Why is the first point of Aries not an object that can be observed?
Why is the first point of Aries not an object that can be observed?
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What adjustment must be made when crossing the International Date Line from east to west?
What adjustment must be made when crossing the International Date Line from east to west?
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Which type of calendar is based on the phases of the moon?
Which type of calendar is based on the phases of the moon?
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What does $T^*$ represent in the context of sidereal time measurement?
What does $T^*$ represent in the context of sidereal time measurement?
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When do Central European Time (CET) and Eastern European Time (EET) occur, respectively?
When do Central European Time (CET) and Eastern European Time (EET) occur, respectively?
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What is the approximate length of a synodic month?
What is the approximate length of a synodic month?
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If the right ascension of a star at its upper culmination is 10 hours, what is the sidereal time ($T^*$)?
If the right ascension of a star at its upper culmination is 10 hours, what is the sidereal time ($T^*$)?
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What is the mean solar day?
What is the mean solar day?
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What causes the sidereal day to be shorter than the Earth's rotation period?
What causes the sidereal day to be shorter than the Earth's rotation period?
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What is the approximate difference ($\Delta$) between the Earth's rotation period and a sidereal day?
What is the approximate difference ($\Delta$) between the Earth's rotation period and a sidereal day?
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What is the tropical year currently?
What is the tropical year currently?
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What is the formula that relates local times and longitudes?
What is the formula that relates local times and longitudes?
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Why is true solar time defined as $T_{☉} = t_{☉} + 12h$ , instead of $T_{☉} = t_{☉}$?
Why is true solar time defined as $T_{☉} = t_{☉} + 12h$ , instead of $T_{☉} = t_{☉}$?
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What is the reference point Universal Time (UT)?
What is the reference point Universal Time (UT)?
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Which instrument accurately displays true solar time, assuming proper alignment?
Which instrument accurately displays true solar time, assuming proper alignment?
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What celestial event defines a true solar day?
What celestial event defines a true solar day?
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If the hour angle ($t_{☉}$) of the Sun is 6 hours, what is the true solar time ($T_{☉}$)?
If the hour angle ($t_{☉}$) of the Sun is 6 hours, what is the true solar time ($T_{☉}$)?
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What are the units for specific intensity ($I_\nu$) in the context of radiation fields?
What are the units for specific intensity ($I_\nu$) in the context of radiation fields?
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What physical quantity does flux ($F_\nu$) measure in the context of radiation?
What physical quantity does flux ($F_\nu$) measure in the context of radiation?
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The Stefan-Boltzmann law relates which two physical quantities?
The Stefan-Boltzmann law relates which two physical quantities?
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What is the effective temperature ($T_{eff, \odot}$) of the Sun?
What is the effective temperature ($T_{eff, \odot}$) of the Sun?
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Which of the following is true regarding stars and black body radiation?
Which of the following is true regarding stars and black body radiation?
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What is implied when the specific intensity ($I_\nu$) does not depend on $\phi$ and $\theta$?
What is implied when the specific intensity ($I_\nu$) does not depend on $\phi$ and $\theta$?
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Which of the following scientists was a recipient of the Nobel Prize in Physics in 2006 for work related to black body radiation and cosmic microwave background?
Which of the following scientists was a recipient of the Nobel Prize in Physics in 2006 for work related to black body radiation and cosmic microwave background?
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What does the effective temperature represent?
What does the effective temperature represent?
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What time scale was adopted in 1991 as a new standard?
What time scale was adopted in 1991 as a new standard?
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What does the equation $TT = TAI + 32.184 s$ signify?
What does the equation $TT = TAI + 32.184 s$ signify?
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What time standard is essentially based on Earth's rotation?
What time standard is essentially based on Earth's rotation?
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What factor does UT1 account for that UTC does not?
What factor does UT1 account for that UTC does not?
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How is ΔT defined?
How is ΔT defined?
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What is the significance of the last leap second introduced on December 31, 2016?
What is the significance of the last leap second introduced on December 31, 2016?
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What is a black body in the context of physics?
What is a black body in the context of physics?
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What is black-body radiation?
What is black-body radiation?
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What fundamental method is used to derive the effective temperature (Teff)?
What fundamental method is used to derive the effective temperature (Teff)?
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What does the angular diameter θ depend on according to the conservation of energy?
What does the angular diameter θ depend on according to the conservation of energy?
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Which of the following is a technique for measuring angular diameters?
Which of the following is a technique for measuring angular diameters?
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What can be inferred from the successful measurement of angular diameters via diffraction?
What can be inferred from the successful measurement of angular diameters via diffraction?
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What was a significant factor in the lunar occultation event observed in 1991?
What was a significant factor in the lunar occultation event observed in 1991?
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Which scientific concept links angular diameter with stellar observation techniques?
Which scientific concept links angular diameter with stellar observation techniques?
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In the context of stellar observation, what does the total flux measured at Earth represent?
In the context of stellar observation, what does the total flux measured at Earth represent?
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What does the formula $\theta = \frac{2R}{D}$ illustrate in stellar observations?
What does the formula $\theta = \frac{2R}{D}$ illustrate in stellar observations?
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Flashcards
Astronomical Time System
Astronomical Time System
A system for measuring time based on astronomical phenomena.
Second (unit of time)
Second (unit of time)
Defined as 9,192,631,770 radiation periods of caesium 133.
Local Time
Local Time
Time defined by the hour angle of a specific astronomical object.
Time Dilation
Time Dilation
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Gravitational Redshift
Gravitational Redshift
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Sidereal Time
Sidereal Time
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Periods of Time
Periods of Time
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Earth's Rotation
Earth's Rotation
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Sidereal Day
Sidereal Day
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Length of Sidereal Day
Length of Sidereal Day
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Analemma
Analemma
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Earth's Rotation Period
Earth's Rotation Period
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Universal Time (UT)
Universal Time (UT)
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Differential Time
Differential Time
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Time Zone
Time Zone
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True Solar Time
True Solar Time
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Upper Culmination
Upper Culmination
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Central European Time (CET)
Central European Time (CET)
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True Solar Day
True Solar Day
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International Date Line
International Date Line
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Hour Angle
Hour Angle
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Lunar Calendar
Lunar Calendar
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Solar Year
Solar Year
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Synodic Month
Synodic Month
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Terrestrial Dynamical Time (TDT)
Terrestrial Dynamical Time (TDT)
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Terrestrial Time (TT)
Terrestrial Time (TT)
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Coordinated Universal Time (UTC)
Coordinated Universal Time (UTC)
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UT1
UT1
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ΔT
ΔT
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Leap Second
Leap Second
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Black Body
Black Body
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Effective Temperature (Teff)
Effective Temperature (Teff)
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Conservation of Energy
Conservation of Energy
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Total Flux (f)
Total Flux (f)
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Distance (D)
Distance (D)
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Angular Diameter (θ)
Angular Diameter (θ)
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Lunar Occultation
Lunar Occultation
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Diffraction
Diffraction
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Code et al. (1976)
Code et al. (1976)
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Planck Function
Planck Function
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Black Body Radiation
Black Body Radiation
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Stefan-Boltzmann Law
Stefan-Boltzmann Law
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Effective Temperature
Effective Temperature
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Specific Intensity
Specific Intensity
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Flux
Flux
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Nobel Prize in Physics 2006
Nobel Prize in Physics 2006
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Effective Temperature of the Sun
Effective Temperature of the Sun
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Study Notes
Astrophysics I: Lecture 2
- Lecture Focus: Time in astronomy, blackbody radiation, and effective temperatures.
- Astronomical Time Systems:
- Originate from observable astronomical phenomena.
- Common units:
- Day: Earth's rotation around its axis.
- Month: Moon's orbit around Earth.
- Year: Earth's orbit around the Sun.
- These periods are not independent/commensurate, causing calendar challenges.
- Local times: defined by hour angle of a specific object, closely related to Earth's rotation. Locations sharing the same astronomical meridian have the same local time and longitude.
Definition of a Second
- The modern SI unit is 1 second (1 s).
- Defined as 9,192,631,770 periods of radiation corresponding to the transition between two levels in the hyperfine structure of the ground state of a caesium-133 atom at rest (0 K).
- Earlier definitions linked the second to Earth's rotation, as 1/86400 of an average solar day or 1/31,556,925.9747 part of the tropical year 1900.
Special and General Relativity: Effect on Time
- Special Relativity: Time is not absolute; moving clocks run slower relative to a stationary observer (time dilation).
- General Relativity: Time runs slower in stronger gravitational fields.
Sidereal Time
- Defined as hour angle of the mean vernal equinox.
- Vernal equinox is a mathematical point, not an observable object.
- Measuring time using an observable object is possible using its hour angle, and upper culmination.
- Sidereal day: time interval between two successive culminations of the vernal equinox.
- Divides into 24 sidereal hours and 86400 sidereal seconds.
- Shorter than a solar day due to precessional motion of the vernal equinox by 0.0084 s.
- Sidereal day = 23h56m04.09145
- Rotation period=23h56m04.09985
True Solar Time
- Measured from hour angle of the Sun.
- Defined for practical reasons (date changes at midnight). True solar day is the interval between two lower culminations of the Sun. True solar days are not the same length due to Earth's orbit eccentricity and variability of Δα/Δλο.
Mean Solar Time
- Introduced to create more uniform time.
- The 'mean Sun' is a mathematical point moving along the equator at a constant rate (da/dt = constant).
- Mean solar day: time interval between two consecutive lower culminations of the mean Sun. Mean solar days are of the same length.
Equation of Time
- Explains the difference between mean solar time and true solar time.
- Two main components:
- Period of half a year, due to the true Sun's movement along the ecliptic and the mean Sun's equatorial path (Amplitude = 9.87 min).
- Period of one year, due to the eccentricity of the Earth's orbit around the Sun (Amplitude = 7.68 min).
Analemma
- Graphical representation of position of the sun over the year.
Local Time and Geographical Longitude
- Local time is related to geographical longitude.
- The relationship between the local times at two locations is expressed by t2 − t1 = λ2 − λ1, where t1 and t2 are the local times, and λ1 and λ2 are the longitudes, in angular measure.
Universal Time (UT)
- Mean solar time at Greenwich meridian.
- Zone times are often used, differing from UT by integer/half-integer numbers of hours (CET, EET).
International Date Line
- Arbitrarily defined line near the 180° meridian.
- Crossing the line changes the date by one day (east to west +1 day, west to east−1 day).
Calendars
- Different calendar types: lunar, solar and combined
- Basic time units: day, synodic month, tropical year.
- Gregorian calendar: mean year length = 365.2425 d
Units of Time Summary
- Provides a summary table of various time units (day, month, year).
Time Scales
- Different time scales are used, including universal time (UT), coordinated universal time (UTC), atomic time (TAI), relativistic time scales like Barycentric Dynamical Time (BDT) and Terrestrial Time (TT).
Deviation of Day Length from SI-Based Day
- Shows variation of day length from the SI standard (86400 s).
- Variations are caused by secular slowing from tidal friction, random adjustments (secular), short-term periodic adjustments (lunar-induced tides, and meteorological).
Uniform Time Scales: Ephemeris Time (ET), International Atomic Time (TAI)
- Ephemeris time: Dynamical time scale used from 1952 to 1984. The ephemeris second was defined in 1960.
- International Atomic Time (TAI): Scale implemented in 1972 and fully based on atomic clocks.
Uniform Time Scales: Barycentric Dynamic Time (BDT), Terrestrial Dynamic Time (TDT), Terrestrial Time (TT)
- Barycentric Dynamical Time (BDT): Implemented in 1976 to account for relativistic effects.
- Terrestrial Dynamical Time (TDT): Replaced ET in 1984, the proper time of an observer moving with Earth (relativistic effects of orbital speed are included, but not Earth rotation).
- Terrestrial Time (TT): Implemented in 1991, practically equivalent to TDT.
Blackbody Radiation
- Blackbody is a theoretical object that absorbs all radiation incident on it.
- Blackbody radiation accurately describes radiation emitted by an object in thermal equilibrium with its surroundings.
- Planck's function describes spectral energy density.
- Wien's law describes the peak wavelength of the radiation.
Effective Temperature
- A measure representing the temperature of a star that would emit the same flux if it were a blackbody.
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Description
Explore the fascinating relationship between astronomy and timekeeping in this quiz. Discover how astronomical phenomena define months, the challenges of calendar creation, and the effects of relativity on time perception. Perfect for students looking to deepen their knowledge of astronomical time systems.