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Natural expression of the
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IRAM Memo 2011-4 Handling
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Contents
Contents
Interpreting the spectral axis throught the Doppler effect
Subsections
Natural expression of the spectral axis in radio-astronomy
Various approximations of the Doppler effect
The Special Relativity formula
Approximation 1: Neglecting the transverse Doppler effect when
Approximation 2: First order developments and velocity conventions
The radio velocity convention
The optical velocity convention
Interpreting the spectral axis in the local universe
Interpretation 1: At fixed
Interpretation 2: At fixed
Interpreting the spectral axis at high redshift
The redshift: An observational quantity
Splitting the change of frame
Interpretation 1: At fixed
and fixed
Interpretation 2: At fixed
and fixed
Interpretation 3: At fixed
and fixed
Validity of the radio velocity convention
Going from
to
Case 1: High redshift universe
Case 2: Local universe
Going from the frequency to the velocity axis
Solution 1: The radio convention is used to define both
and
Solution 2: Special relativity is used to define
but the radio convention is kept to define
Solution 3: Special relativity is used to define both
and
Handling the local and high redshift universe with the same formalism
Using the radio velocity convention
Using the special relativity formula
Gildas manager 2015-03-01