Find a star with zero (or very small) HJD correction

This project must be done by individuals.

In the lecture "The many different kinds of time (II)", we discussed Heliocentric Julian Date (HJD for short). The basic idea is to remove small-ish variations in the observed time of distant celestial events due to the motion of the Earth around the Sun.

In that class, we chose a particular date and time:



           time of observation  =  EST 2024 Jan 31 02:30 PM

This corresponds to a Julian Date of 2460341.31250.

I asked students to consider two particular stars, S Cap and X Cnc. If we made a measurement of each of these stars at the date give above, what would the corresponding HJD values be? For these particular stars, the difference between HJD and JD was about +8 minutes in one case, and about -8 minutes in the other case.

Your challenge for this project: find a variable star in General Catalog of Variable Stars (GCVS) which has a difference between HJD and JD of nearly zero. In particular, the absolute value of the difference must be no more than 0.001 days.

Provide the name of (at least) one such star.
What is the HJD of a measurement of this star made at the given time?
How large is the difference (HJD - JD)? Express in both days and seconds
Explain the process by which you found this star. Did you have some method in mind? Was geometry involved?

Hand in sheet(s) of paper, showing all your work. If you decide to use a planetarium program, or other software, to do some of the work, provide screenshots or printouts describing your technique.