Consider the following papers:
DZ65:
http://adsabs.harvard.edu/abs/1965SvA.....8..854D
@ARTICLE { VDashevskiiYZeldovich65a ,
AUTHOR = "V. M. Dashevskii and Y. B. Zel'dovich",
TITLE = "Propagation of Light in a Nonhomogeneous
Nonflat Universe .II.",
JOURNAL = SVA,
YEAR = "1965",
VOLUME = "8",
NUMBER = "6",
PAGES = "854--856",
MONTH = may # jun
}
and DS66:
http://adsabs.harvard.edu/abs/1966SvA.....9..671D
@ARTICLE { VDashevskiiVSlysh66a ,
AUTHOR = "V. M. Dashevskii and V. J. Slysh",
TITLE = "On the Propagation of Light in a
Nonhomogeneous Universe",
JOURNAL = SVA,
YEAR = "1966",
VOLUME = "9",
NUMBER = "4",
PAGES = "671--672",
MONTH = jan # feb
}
For some background, one might want to read as well
Z64:
http://adsabs.harvard.edu/abs/1964SvA.....8...13Z
@ARTICLE { YZeldovich64a ,
AUTHOR = "Y. B. Zel'dovich",
TITLE = "Observations in a Universe Homogeneous in
the Mean",
JOURNAL = SVA,
YEAR = "1964",
VOLUME = "8",
NUMBER = "1",
PAGES = "13-16",
MONTH = jul # aug
}
I have three questions.
First, is there a term (z) missing in eq. (1) of DS66, but present in
eq. (7) of DZ65?
Second, in table 1 in DZ65, should the value 0.40 (the angular-size
distance for Omega=0.1 and lambda=0 at Delta=0.74 (which corresponds to
a redshift of 2.846), which can be calculated via the Mattig formula) be
0.42 (0.421)? (The maximum does seem to be at 0.74.)
Third, in the same table, should the value 0.23 (the angular-size
distance for Omega=10 and lambda=0 for Delta=1 (corresponding to
infinite redshift) but in the empty-beam approximation) be 0.24 (0.237)?
(Note that there is a substantial difference in notation between Z64 and
DZ65, and also some difference between DZ65 and DS66, but each paper
seems to be internally consistent, apart from the apparent typo
mentioned in the first question above. I suspect that the answer to the
second question is a typo. This might also be the case for the third,
but it might be the result of a too inaccurate numerical computation on
the part of DS66.)
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