1 Oh No |
Hubble telescope finds 'never-seen' galaxies | donderdag 10 december 2009 14:50 |
2 Oh No |
Re: Hubble telescope finds 'never-seen' galaxies | donderdag 10 december 2009 16:16 |
3 jacob navia |
Re: Hubble telescope finds 'never-seen' galaxies | zaterdag 12 december 2009 11:21 | 4 Phillip Helbig | Re: Hubble telescope finds 'never-seen' galaxies | maandag 14 december 2009 10:27 |
5 Oh No |
Re: Hubble telescope finds 'never-seen' galaxies | maandag 14 december 2009 11:00 |
6 Robert L. Oldershaw |
Re: Hubble telescope finds 'never-seen' galaxies | maandag 14 december 2009 11:01 |
7 Oh No |
Re: Hubble telescope finds 'never-seen' galaxies | maandag 14 december 2009 16:02 |
8 Nicolaas Vroom |
Re: Hubble telescope finds 'never-seen' galaxies | dinsdag 29 december 2009 19:55 |
9 Phillip Helbig | Re: Hubble telescope finds 'never-seen' galaxies | woensdag 30 december 2009 22:12 |
10 Nicolaas Vroom |
Re: Hubble telescope finds 'never-seen' galaxies | woensdag 20 januari 2010 14:30 |
11 Phillip Helbig | Re: Hubble telescope finds 'never-seen' galaxies | woensdag 20 januari 2010 22:35 |
12 Nicolaas Vroom |
Re: Hubble telescope finds 'never-seen' galaxies | donderdag 4 februari 2010 13:50 |
13 Phillip Helbig | Re: Hubble telescope finds 'never-seen' galaxies | donderdag 4 februari 2010 15:12 |
14 Nicolaas Vroom |
Re: Hubble telescope finds 'never-seen' galaxies | vrijdag 5 februari 2010 15:37 |
15 Oh No |
Re: Hubble telescope finds 'never-seen' galaxies | vrijdag 5 februari 2010 16:09 |
16 Phillip Helbig |
Re: Hubble telescope finds 'never-seen' galaxies | zaterdag 6 februari 2010 10:31 |
17 Steve Willner |
Re: Hubble telescope finds 'never-seen' galaxies | dinsdag 9 februari 2010 20:51 |
Can anyone reference the paper or even just a report stating the
redshifts of these galaxies
http://ca.news.yahoo.com/s/afp/091209/world/britain_us_space_astronomy_hubble_1
Regards
--
Charles Francis
Thus spake Oh No
http://ca.news.yahoo.com/s/afp/091209/world/britain_us_space_astronomy_hubble_1
http://antwrp.gsfc.nasa.gov/apod/ap091209.html
There is already a problem in standard cosmology explaining how galaxies
can form at red shift 6. Naturally I take this as further evidence of
the squared redshift law found in relational quantum gravity. According
to this the universe would have been about 1/3 current size, instead of
1/9th, at the time light left these galaxies
Regards
--
Charles Francis
Oh No a écrit in posting Mesg2:
http://ca.news.yahoo.com/s/afp/091209/world/britain_us_space_astronomy_hubble_1
I did find this
http://antwrp.gsfc.nasa.gov/apod/ap091209.html
There is already a problem in standard cosmology explaining how galaxies
can form at red shift 6. Naturally I take this as further evidence of
the squared redshift law found in relational quantum gravity. According
to this the universe would have been about 1/3 current size, instead of
1/9th, at the time light left these galaxies
Regards
Anyway, how can a GALAXY form in a mere 500 million years?
The milky way doesn't have the time to make 2 revolutions in
that time.
And the authors of the paper say they will see galaxies at redshift
10, even much farther away.
The photograph is vertiginous for its scope... Each small fudge is
a galaxy with billions of stars in it.
There are several grand design galaxies in the photograph.
There are two spiral galaxies merging (in the middle, near
the top margin). To the left of that merge there are 4 spirals.
Obviously they aren't ALL at z=8 but they should be quite far away
anyway.
Now is evident that the 13.7 Giga years is a ridiculous low number,
similar to what our ancestors thought: 4500 years for the Universe
counting generations since Adam in the Bible...
In article Mesg3, jacob navia
The quantity of interest here is the time between various redshifts, not
some measure of distance.
Rather than saying "a galaxy can't form in 500 million years" (which, to
carry on you analogy, sounds like "humans couldn't evolve from
monkey-like ancestors"---just a statement with no proof), do you have
any reference to a paper which demonstrates that there is NO WAY that a
galaxy could form in the time available, rather than that it is just
"difficult" within a scenario which is not completely understood anyway?
Thus spake jacob navia
http://ca.news.yahoo.com/s/afp/091209/world/britain_us_space_astronomy_hubble_1
I did find this
http://antwrp.gsfc.nasa.gov/apod/ap091209.html
There is already a problem in standard cosmology explaining how galaxies
can form at red shift 6. Naturally I take this as further evidence of
the squared redshift law found in relational quantum gravity. According
to this the universe would have been about 1/3 current size, instead of
1/9th, at the time light left these galaxies
Anyway, how can a GALAXY form in a mere 500 million years?
The milky way doesn't have the time to make 2 revolutions in
that time.
And the authors of the paper say they will see galaxies at redshift
10, even much farther away.
Given the importance of this, I am inclined to wait until they are seen.
But I am expecting redshifts up to ~20-30.
Now is evident that the 13.7 Giga years is a ridiculous low number,
similar to what our ancestors thought: 4500 years for the Universe
counting generations since Adam in the Bible...
In fact there are a number of very good reasons for thinking that
~14Gyrs is about right (most particularly the mix of light elements
predicted by big bang nucleosynthesis). But I think this is powerful
evidence that the age of galaxies at given redshift is incorrect.
According to rqg, galaxies at z=8 are ~2.3 Gyrs old.
Regards
--
Charles Francis
On Dec 12, 5:21 am, jacob navia
Another possibility is that the "little bang" did happen 13.7 billion
years ago, but that galaxies and especially QSOs and AGNs predated the
"little bang".
For me it is easier to believe the above hypothesis, than to believe
that something as incredbly complex as a galaxy could form ab initio
in a cosmological "instant". The latter hypothesis is logically
possible, but it increasingly strains credibility as the size of the
"instant" decreases.
Just a random thought,
Thus spake Phillip Helbig---undress to reply
And the authors of the paper say they will see galaxies at redshift
10, even much farther away.
In fact they say that stars must have formed at redshift 10, which may
not be too difficult.
The quantity of interest here is the time between various redshifts, not
some measure of distance.
Now is evident that the 13.7 Giga years is a ridiculous low number,
Rather than saying "a galaxy can't form in 500 million years" (which, to
carry on you analogy, sounds like "humans couldn't evolve from
monkey-like ancestors"---just a statement with no proof), do you have
any reference to a paper which demonstrates that there is NO WAY that a
galaxy could form in the time available, rather than that it is just
"difficult" within a scenario which is not completely understood anyway?
Actually I think the equations of motion leading to formation of stars
and galaxies are well understood. It is, after all, just a classical
process, and there is no particular reason to think that computer models
would be wildly inaccurate in modelling such a process.
On the other hand the equations for unification with quantum mechanics
and general relativity are not understood at all (unless, of course, rqg
is right, in which case they are only understood by me).
It seems to me somewhat bizarre therefore to insist that we know the
age-redshift relation when a quantum process (transfer of light) is
involved, when there is no empirical evidence for this relation, and
quite a bit of empirical evidence that it is wrong, and at the same time
it insist that we do not understand classical processes for which the
equations have been empirically established for quite some time.
Regards
--
Charles Francis
"Oh No"
http://ca.news.yahoo.com/s/afp/091209/world/britain_us_space_astronomy_hubble_1
I did find this
http://antwrp.gsfc.nasa.gov/apod/ap091209.html
There is already a problem in standard cosmology explaining how galaxies
can form at red shift 6. Naturally I take this as further evidence of
the squared redshift law found in relational quantum gravity. According
to this the universe would have been about 1/3 current size, instead of
1/9th, at the time light left these galaxies
I agree with you that there are problems.
The whole problem IMO boils down to the question:
What does a red shift of 6 physical mean.
A value we measure NOW from light of a galaxy transmitted
in the past.
Does that value mean we can say anything about the present
of that Galaxy (its present position and speed)
IMO the answer is No. (or very little)
Does it mean that we can say anything about the speed
of this Galaxy in the past ?
Also very little.
The most we can say is that this Galaxy is (was) far away
because the redshift is large, mostly caused by space expansion
A smaller part of the redshift is caused by the peculiar motion of
the Galaxy at the time of transmission (Dawn of the Galaxies)
For more information See the discussion:
"Neophyte question about Hubble's Law"
Nicolaas Vroom
In article Mesg8, "Nicolaas Vroom"
nicolaas.vroom@pandora.be writes:
It means that the universe now is 7 times larger than when the light was
emitted. That is ALL it means, without additional knowledge/
If we know the cosmological parameters (from other observations), then
we can calculate any distance and any velocity we want at any time we
want.
Yes, but at a redshift of 6 this is negligible.
"Phillip Helbig
schreef in bericht Mesg9
What does a red shift of 6 physical mean.
It means that the universe now is 7 times larger than when the light was
emitted.
Are you sure you mean universe ?
Does this picture http://antwrp.gsfc.nasa.gov/apod/ap091209.html
proves your point of view ?
What that picture shows is an image of the past and not what
the present situation is.
In fact this picture says nothing IMO about the total Universe.
For more comments look here:
https://www.nicvroom.be/Hubble-Faq.htm#balloon
If we know the cosmological parameters (from other observations), then
we can calculate any distance and any velocity we want at any time we
want.
How do you know that ?
Is this not too optimistic ?
What are the other observations ?
Gravitational lenses ?
Nicolaas Vroom
In article Mesg10, "Nicolaas Vroom"
nicolaas.vroom@pandora.be writes:
What does a red shift of 6 physical mean.
It means that the universe now is 7 times larger than when the light was
emitted.
Are you sure you mean universe ?
Does this picture http://antwrp.gsfc.nasa.gov/apod/ap091209.html
proves your point of view ?
What that picture shows is an image of the past and not what
the present situation is.
In fact this picture says nothing IMO about the total Universe.
That is what it means assuming that the universe is described by the
Friedmann-Lemaitre equations, i.e. that it a) is described by general
relativity and b) it is homogeneous and isotropic on large scales (for
which there is observational evidence, so this is not really an
assumption). It also assumes that the image above was caused by photons
travelling from the galaxies to the CCD in the camera, and not put there
by angels or whatever. Yes, one can question all assumptions, and I
think it is only after several pages in their big book that Russell and
Whitehead prove that 1+1=2, but explicitly stating all
assumptions---especially those which we have good reason to believe are
true---hampers communication.
That is ALL it means, without additional knowledge/
Sure. If I know the parameters Omega, lambda and H, I can calculate the
light-travel time and so on.
How do you know that ?
See the assumptions above.
Why do you think so?
Yes, and many others, such as the m-z relation for supernovae, the CMB
etc.
"Phillip Helbig
schreef in bericht Mesg11
What does a red shift of 6 physical mean.
It means that the universe now is 7 times larger than when the light
was
emitted.
Are you sure you mean universe ?
Does this picture http://antwrp.gsfc.nasa.gov/apod/ap091209.html
proves your point of view ?
What that picture shows is an image of the past and not what
the present situation is.
In fact this picture says nothing IMO about the total Universe.
That is what it means assuming that the universe is described by the
Friedmann-Lemaitre equations, i.e. that it a) is described by general
relativity and b) it is homogeneous and isotropic on large scales (for
which there is observational evidence, so this is not really an
assumption).
The evidence exists of for example what "this picture" shows and
that is an image of the past.
And if I interpret that picture correct than it shows an evolution
in galaxy structures.
To claim anything about the present situation is inferred and based
on assumptions.
That does not mean that the present universe is not homogeneous.
But even if the Universe is homogeneous there is a problem with
the law v = H * d with v and d being the proper distance
(i.e. the present distance).
Nicolaas Vroom.
In article Mesg12 , "Nicolaas Vroom"
nicolaas.vroom@pandora.be writes:
This problem of yours has been addressed here in the newsgroup many
times. Why do you keep asking it?
Please state, clearly and exactly, what you think the problem is.
"Phillip Helbig
schreef in bericht Mesg13
But even if the Universe is homogeneous there is a problem with
the law v = H * d with v and d being the proper distance
(i.e. the present distance).
The problem is the relation z = (H/c) * d with d being the
distance at emission (i.e. in the past)
This relation is used to calculate the Hubble constant H
(based on observations of both z and d).
The problem is that the two Hubble constants can not be
the same.
This problem of yours has been addressed here in the newsgroup many
times. Why do you keep asking it?
Please state, clearly and exactly, what you think the problem is.
The problem is threefold.
First you have the law : v = H * d
With v and d (and H) being the present values. (proper values)
The question is how do you calculate those based on observations ?
The problem is neither one of those values can directly be observed.
For the sun a similar problem exits. What is observed is a position
in the past 8 minutes ago. To calculate the present position
you need a "model".
Second you have the law: z = (H/c) * d.
d is the distance in the past and z is the present value.
This is the equation used to calculate the Hubble Constant H.
Third again you have the law: v = H * d
but now with v, d and H values in the past.
IMO the real problem is that each of those three values
for H is different.
Q: is this "assumption" correct ?
For more information read:
https://www.nicvroom.be/bigbangh.htm
Nicolaas Vroom
Thus spake in article Mesg14 Nicolaas Vroom nicolaas.vroom@pandora.be
This problem of yours has been addressed here in the newsgroup many
times. Why do you keep asking it?
Please state, clearly and exactly, what you think the problem is.
The problem is threefold.
First you have the law : v = H * d
With v and d (and H) being the present values. (proper values) The
question is how do you calculate those based on observations ? The
problem is neither one of those values can directly be observed.
For the sun a similar problem exits. What is observed is a position in
the past 8 minutes ago. To calculate the present position you need a
"model".
Second you have the law: z = (H/c) * d.
d is the distance in the past and z is the present value. This is the
equation used to calculate the Hubble Constant H.
Third again you have the law: v = H * d
but now with v, d and H values in the past.
IMO the real problem is that each of those three values
for H is different.
Q: is this "assumption" correct ?
No, it is not correct. The three laws you cite are approximations which
hold for near galaxies, and all three are equivalent within the range in
which these approximations hold. For greater distances the issue
(emission of light in the past) you describe does affect things, but
then you have to use the mechanisms and laws of general relativity, not
these simple approximations.
Regards
--
Charles Francis
In article Mesg14 , "Nicolaas Vroom"
nicolaas.vroom@pandora.be writes:
This problem of yours has been addressed here in the newsgroup many
times. Why do you keep asking it?
Please state, clearly and exactly, what you think the problem is.
The problem is threefold.
First you have the law : v = H * d
With v and d (and H) being the present values. (proper values)
OK.
Right.
Right.
Right. It is valid at low redshift; it is a limit.
Right.
The first two are the same. The third is, in general, different. But
this is not a problem. We can determine the cosmological parameters
from observations (this was worked out in the 1930s) and then calculate
H at any time.
I had a look. After clicking away 4 pop-ups informing me that I was the
one-millionth visitor or whatever, I had a read through it. My advice
is to read Edward Harrison's textbook COSMOLOGY: THE SCIENCE OF THE
UNIVERSE cover to cover. That should clear up any confusion.
In article article Mesg14,
"Nicolaas Vroom"
Actually, because of aberration of light, what is observed is very
nearly the position of the Sun "now."
You need a model to interpret any observation you make. (In some
cases, the model may be fairly simple.)
--
Help keep our newsgroup healthy; please don't feed the trolls.
1 Hubble telescope finds 'never-seen' galaxies
Van: Oh No
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: donderdag 10 december 2009 14:50
moderator sci.physics.foundations.
charles (dot) e (dot) h (dot) francis (at) googlemail.com (remove spaces and
braces)
2 Hubble telescope finds 'never-seen' galaxies
Van: Oh No
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: donderdag 10 december 2009 16:16
I did find this
>
Can anyone reference the paper or even just a report stating the
redshifts of these galaxies
moderator sci.physics.foundations.
charles (dot) e (dot) h (dot) francis (at) googlemail.com (remove spaces and
braces)
3 Hubble telescope finds 'never-seen' galaxies
Van: jacob navia
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: zaterdag 12 december 2009 11:21
>
Thus spake Oh No
>>
Can anyone reference the paper or even just a report stating the
redshifts of these galaxies
>
4 Hubble telescope finds 'never-seen' galaxies
Van: Phillip Helbig
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: maandag 14 december 2009 10:27
>
And the authors of the paper say they will see galaxies at redshift
10, even much farther away.
>
Now is evident that the 13.7 Giga years is a ridiculous low number,
5 Hubble telescope finds 'never-seen' galaxies
Van: Oh No
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: maandag 14 december 2009 11:00
>
Oh No a écrit in posting Mesg2 :
>>
Thus spake Oh No
>>>
Can anyone reference the paper or even just a report stating the
redshifts of these galaxies
>>
>
>
moderator sci.physics.foundations.
charles (dot) e (dot) h (dot) francis (at) googlemail.com (remove spaces and
braces)
6 Hubble telescope finds 'never-seen' galaxies
Van: Robert L. Oldershaw
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: maandag 14 december 2009 11:01
>>
Now is evident that the 13.7 Giga years is a ridiculous low number,
-------------------------------------------------------------------
>
similar to what our ancestors thought: 4500 years for the Universe
counting generations since Adam in the Bible...- Hide quoted text -
RLO
http://www.amherst.edu/~rloldershaw
7 Hubble telescope finds 'never-seen' galaxies
Van: Oh No
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: maandag 14 december 2009 16:02
>
In article
>>
>
>>
>
moderator sci.physics.foundations.
charles (dot) e (dot) h (dot) francis (at) googlemail.com (remove spaces and
braces)
8 Hubble telescope finds 'never-seen' galaxies
Van: Nicolaas Vroom
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: dinsdag 29 december 2009 19:55
>
Thus spake Oh No in posting Mesg1
>>
Can anyone reference the paper or even just a report stating the
redshifts of these galaxies
>
https://www.nicvroom.be/
9 Hubble telescope finds 'never-seen' galaxies
Van: Phillip Helbig
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: woensdag 30 december 2009 22:124
>
What does a red shift of 6 physical mean.
>
A value we measure NOW from light of a galaxy transmitted
in the past.
Does that value mean we can say anything about the present
of that Galaxy (its present position and speed)
IMO the answer is No. (or very little)
Does it mean that we can say anything about the speed
of this Galaxy in the past ?
Also very little.
>
The most we can say is that this Galaxy is (was) far away
because the redshift is large, mostly caused by space expansion
A smaller part of the redshift is caused by the peculiar motion of
the Galaxy at the time of transmission
10 Hubble telescope finds 'never-seen' galaxies
Van: Nicolaas Vroom
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: woensdag 20 januari 2010 14:30
>
In article Mesg8, "Nicolaas Vroom"
nicolaas.vroom@pandora.be writes:
>>
>
Implying that this last could change your answer ?
>
That is ALL it means, without additional knowledge/
>>
A value we measure NOW from light of a galaxy transmitted
in the past.
Does that value mean we can say anything about the present
of that Galaxy (its present position and speed)
IMO the answer is No. (or very little)
Does it mean that we can say anything about the speed
of this Galaxy in the past ?
Also very little.
>
https://www.nicvroom.be/
11 Hubble telescope finds 'never-seen' galaxies
Van: Phillip Helbig
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: woensdag 20 januari 2010 22:35
>
"Phillip
schreef in bericht Mesg9
> >
In article Mesg8, "Nicolaas Vroom"
nicolaas.vroom@pandora.be writes:
> >>
> >
>
>
For more comments look here:
https://www.nicvroom.be/Hubble-Faq.htm#balloon
> >
>
Implying that this last could change your answer ?
> >
If we know the cosmological parameters (from other observations), then
we can calculate any distance and any velocity we want at any time we
want.
>
>
Is this not too optimistic ?
>
What are the other observations ?
Gravitational lenses ?
12 Hubble telescope finds 'never-seen' galaxies
Van: Nicolaas Vroom
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: donderdag 4 februari 2010 13:50
>
In article Mesg10 , "Nicolaas Vroom"
nicolaas.vroom@pandora.be writes:
>> >>
>> >
>>
>
The problem is the relation z = (H/c) * d with d being the
distance at emission (i.e. in the past)
This relation is used to calculate the Hubble constant H
(based on observations of both z and d).
The problem is that the two Hubble constants can not be
the same.
This problem is explained here:
https://www.nicvroom.be/bigbangh.htm
which explains that the two laws are in conflict with
each other.
The problem is identical if H is constant in time or variable
13 Hubble telescope finds 'never-seen' galaxies
Van: Phillip Helbig
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: donderdag 4 februari 2010 15:12
>
But even if the Universe is homogeneous there is a problem with
the law v = H * d with v and d being the proper distance
(i.e. the present distance).
The problem is the relation z = (H/c) * d with d being the
distance at emission (i.e. in the past)
This relation is used to calculate the Hubble constant H
(based on observations of both z and d).
The problem is that the two Hubble constants can not be
the same.
14 Hubble telescope finds 'never-seen' galaxies
Van: Nicolaas Vroom
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: vrijdag 5 februari 2010 15:37
>
In article Mesg12 , "Nicolaas Vroom"
nicolaas.vroom@pandora.be writes:
>>
>
15 Hubble telescope finds 'never-seen' galaxies
Van: Oh No
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: vrijdag 5 februari 2010 16:09
>
"Phillip Helbig
schreef in bericht Mesg13
>>
In article Mesg12 , "Nicolaas Vroom"
nicolaas.vroom@pandora.be writes:>>
>>>
But even if the Universe is homogeneous there is a problem with
the law v = H * d with v and d being the proper distance
(i.e. the present distance).
The problem is the relation z = (H/c) * d with d being the
distance at emission (i.e. in the past)
This relation is used to calculate the Hubble constant H
(based on observations of both z and d).
The problem is that the two Hubble constants can not be
the same.
>>
>
moderator sci.physics.foundations.
charles (dot) e (dot) h (dot) francis (at) googlemail.com (remove spaces and
braces)
16 Hubble telescope finds 'never-seen' galaxies
Van: Phillip Helbig---undress to reply
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: zaterdag 6 februari 2010 10:31
>
"Phillip Helbig
schreef in bericht Mesg13
> >
In article Mesg12 , "Nicolaas Vroom"
nicolaas.vroom@pandora.be writes:> >
> >>
But even if the Universe is homogeneous there is a problem with
the law v = H * d with v and d being the proper distance
(i.e. the present distance).
The problem is the relation z = (H/c) * d with d being the
distance at emission (i.e. in the past)
This relation is used to calculate the Hubble constant H
(based on observations of both z and d).
The problem is that the two Hubble constants can not be
the same.
> >
>
>
The question is how do you calculate those based on observations ?
The problem is neither one of those values can directly be observed.
>
For the sun a similar problem exits. What is observed is a position
in the past 8 minutes ago. To calculate the present position
you need a "model".
>
Second you have the law: z = (H/c) * d.
d is the distance in the past and z is the present value.
This is the equation used to calculate the Hubble Constant H.
>
Third again you have the law: v = H * d
but now with v, d and H values in the past.
>
IMO the real problem is that each of those three values
for H is different.
Q: is this "assumption" correct ?
>
For more information read:
https://www.nicvroom.be/bigbangh.htm
17 Hubble telescope finds 'never-seen' galaxies
Van: Steve Willner
Onderwerp: Hubble telescope finds 'never-seen' galaxies
Datum: dinsdag 9 februari 2010 20:51
>
For the sun a similar problem exits. What is observed is a position
in the past 8 minutes ago.
>
To calculate the present position you need a "model".
Steve Willner Phone 617-495-7123 swillner@cfa.harvard.edu
Cambridge, MA 02138 USA
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