Dear Professor Allen,
Thank you very much for your responsiveness, forbearance, perseverance, and endurance. Sooner or later every physicist or engineer (including my Physics PhD brother) with whom I have debated stellar aberration will tire of my excruciating details concerning coordinate...
In order that we can move on and get to my point about the declination aberration equation described in the Astronomical Almanac, I will assume you agree with my last proposed statement (1) at least to the extent that you would not want to revise Bradley’s equation to include independent...
I don't find your statement sufficiently clear. I propose statement (1) below which describes my intent:
(1) Using an ecliptic coordinate system [see http://en.wikipedia.org/wiki/Ecliptic_coordinate_system] , Bradley's formula [tan (θ - θ0) = -v/c] will give a pure latitude deviation for the...
It is true as you imply that the pole (I suggest calling it the y’ axis) upon which the given star in question exists may exist anywhere in a plane that is perpendicular to the Earth’s orbital inertial velocity vector when different “Arbitrary Floors” are chosen to define different coordinate...
Can I assume that your answer to question (1) is:
James Bradley’s “Classical” stellar aberration equation [tan (θ - θ0) = -v/c] applies only to a star where θ0 is on an ecliptic pole which is perpendicular to the Earth’s orbital inertial velocity vector?
Please answer Yes or No with no...
As PAllen has stated, I did limit my discussion under Special and General Relativity to trying to get an understanding and agreement about the correct interpretation of Bradley’s “Classical” stellar aberration equation [tan (θ - θ0) = -v/c] and predictions from the Astronomical Almanac’s (AA)...
At another thread under Special and General Relativity the following question was asked:
"Why isn't stellar aberration considered to be a one way measurement of c?
If the angle of aberration (θ-θ0) is -20.5 arc seconds and the Earth's orbital speed is 29.79 Kilometers/second normal to the...
Some do say that for a star at the ecliptic pole total aberration is constant but twice a year it is all right ascension aberration and twice a year it is all declination aberration with a mix in between. However, for an ecliptic pole star right ascension aberration is only an "apparent" spin...
Stars in between declination θ0 = 90° and θ0 ≈ 0° will have varying declination aberration and varying right ascension aberration. However, stars in this range will have zero declination aberration when α0 = 90° and 270° according to the Declination Aberration Model described in the 2010...
zonde, I will assume that you are acknowledging that astronomers can measure "right ascension aberration" as well as "declination aberration". Can they also measure "aberration" (which I will call "intrinsic aberration" henceforth)? Also, can you please tell me what kind of aberration is...
zonde, I am very impressed! I believe you understand aberration better than anyone with whom I have ever discussed the subject. Since you are apparently an advanced stellar aberration guru, I would like to know if you think Einstein's Doppler Stellar Aberration equation in his 1905 paper "On...
So, are you saying that declination aberration is zero only when declination (δ0) is 0° and right ascension (α0) is 0°? If you are saying this, then it is my openion that this disagrees with the Reduction for Annual Stellar Aberration equation: Aberration (δ - δ0) = - x/c.cos α0.sin δ0 that is...
Zonde, you are not missing anything. A star near the ecliptic pole is always near the plane that is perpendicular to the Earth's velocity vector. Now can you tell me when annual aberration is zero for a star? Is it only when the star's vector is in the ecliptic plane or can a star above the...
My "personal website" has all of the references and explains the problems with the state-of-the-art of stellar aberration prediction models. The reference to the SR model can be found in: "Einstein, A. 1905, On the Electrodynamics of Moving Bodies, revised and translated in The Principle of...
The SR model predicts that a star near the ecliptic pole and in the plane that is perpendicular to the Earth's velocity vector has a declination aberration of over 20 arc seconds while the NOVAS model predicts aberration close to zero. There is not any significant gravitational bending due to...