Converting HJD to BJD: Equation and Code Solutions | Natski

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Discussion Overview

The discussion revolves around the conversion of heliocentric Julian dates (HJD) to barycentric Julian dates (BJD), including the equations and code solutions necessary for this conversion. Participants explore the nature of BJD and its implications for precision in astronomical measurements.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Natski seeks code or equations for converting HJD to BJD, noting the small difference but emphasizing the need for conversion.
  • One participant suggests that SkyCalc might provide a solution and questions whether the conversion is related to pulsar timing.
  • Another participant expresses frustration at the unresolved nature of the problem with SkyCalc.
  • Concerns are raised about the nature of BJD, questioning whether it is a coordinate or dynamical timescale, with references to external sources that do not clarify this distinction.
  • It is noted that the difference between dynamical and coordinate timescales is significant, potentially affecting precision in studies.
  • A participant provides a link to a calculator for converting HJD to BJD_TDB and discusses the limitations of HJD calculators in terms of accuracy.
  • The same participant argues for using Barycentric Dynamical Time (TDB) as a more robust standard for conversions, citing the IAU's recommendations.
  • Links to additional resources and a paper are shared for further detail on the topic.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the nature of BJD and its classification as a timescale, indicating a lack of consensus on this issue. Additionally, there are differing opinions on the best methods for conversion and the implications of time standards used.

Contextual Notes

Participants highlight limitations in existing calculators and the need for precise inputs to achieve better accuracy in conversions. The discussion reflects a dependency on the definitions of timescales and the unresolved nature of some mathematical steps involved in the conversion process.

natski
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Dear all,

I am looking for some code or some equations which I can sure to convert heliocentric julian dates (HJD) to barycentric julian dates (BJD). I know the level of difference is small but this is irrelevant, I still require the conversion none-the-less.

I am aware of a previous thread on this topic...

https://www.physicsforums.com/archive/index.php/t-194645.html

... but no answer was given to this problem. It seems Google cannot provide an answer to this problem either, so can anyone help me?

Thanks in advance!
Natski
 
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I think that SkyCalc might do this. Perhaps digging through the source code will provide some answers?

What's this for? Pulsar timing?
 
Hmmm, this problem remains unresolved. I couldn't find a way of doing it with SkyCalc.
 
One of the major problems I've encountered is that I am not sure as to the nature of BJD. Is BJD a coordinate or dynamical timescale?

On http://www.cv.nrao.edu/~rfisher/Ephemerides/times.html it explains that there are two sorts of barycentric times, dynamical and coordinate. BJD is not even mentioned, so whether BJD is the former or latter remains unclear to me.

The difference between these two timescales seems to be on the order of seconds so it is critical even outside of high precision studies.
 
My apologies for reviving a long dead post, but as of now, this is the top google hit for "HJD to BJD," so some may benefit from an answer to this question...

natski said:
One of the major problems I've encountered is that I am not sure as to the nature of BJD. Is BJD a coordinate or dynamical timescale?

On http://www.cv.nrao.edu/~rfisher/Ephemerides/times.html it explains that there are two sorts of barycentric times, dynamical and coordinate. BJD is not even mentioned, so whether BJD is the former or latter remains unclear to me.

The difference between these two timescales seems to be on the order of seconds so it is critical even outside of high precision studies.

The BJD can be stated in any time standard, dynamical or coordinate, so the time standard must be specified by the person quoting the BJD (they can differ by more than a minute!). Up until recently, the most commonly used time standard of BJD was UTC -- neither dynamical nor coordinate!

While the IAU recommends the use of the Barycentric Coordinate Time (TCB), if you're concerned about this rate change of 10^-8, you also have to be concerned with the similar rate changes caused by each of your observed targets. Therefore, I argue that the most robust time standard to use in practice is the Barycentric Dynamical Time (TDB).

Now, to answer your original question -- I have created an calculator that can do this conversion (HJD in TT or UTC -> BJD_TDB) here:

http://astroutils.astronomy.ohio-state.edu/time/hjd2bjd.html

However, most HJD calculators are only accurate to 1 second (5 decimal places in JD), so of course you can't get any better accuracy out of it. This is not much better than the +/- 4 second accuracy of the HJD (though converting to the TDB time standard may be a significant improvement).

If at all possible, you're far better off getting the original JD_UTC and using my JD_UTC -> BJD_TDB calculator (http://astroutils.astronomy.ohio-state.edu/time/utc2bjd.html), which is accurate to a few ms if given sufficiently precise inputs (or you can download the IDL source code which is accurate to ~1 us when used with great care -- there's a lot to worry about at that level).

My paper (http://arxiv.org/abs/1005.4415) goes into far more detail on the whole mess.
 
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