Pyephem 15 minutes discrepancy when manually computing equinoxes and solstices












1















the code below tries to compute manually the first equinox of 2019.
It returns



('d1=', 2019/3/20 21:43:48)
('d2=', 2019/3/20 21:43:49)
2019/3/20 21:58:31



that is, a discrepancy of 15 minutes with the real equinox. Is this normal?
Did I forget something? The problem also occurs with the solstices, and also if I used the integrated newton method. Could it have something to do with the epoch of computation?



Thanks,



Dennis



import ephem
sun = ephem.Sun()

# computing Spring equinox:
d1 = ephem.Date('2019/03/15')
d2 = ephem.Date('2019/03/25')
a=ephem.degrees('180.0')

for i in range(20):
#middle date
d3=(d1+d2)/2
sun.compute(d3)
if sun.hlon>a:
d2=d3
else:
d1=d3

print("d1=",ephem.Date(d1))
print("d2=",ephem.Date(d2))
d1 = ephem.next_equinox('2019')
print(d1)









share|improve this question

























  • Sorry, read Summer solstice instead of Summer equinox :-(

    – Dennis
    Jan 16 at 0:17






  • 1





    You can click on the edit link below your post to update your post :)

    – Gino Mempin
    Jan 16 at 0:42













  • The problem also occurs when using Newton's method within pyephem:

    – Dennis
    Jan 16 at 13:58
















1















the code below tries to compute manually the first equinox of 2019.
It returns



('d1=', 2019/3/20 21:43:48)
('d2=', 2019/3/20 21:43:49)
2019/3/20 21:58:31



that is, a discrepancy of 15 minutes with the real equinox. Is this normal?
Did I forget something? The problem also occurs with the solstices, and also if I used the integrated newton method. Could it have something to do with the epoch of computation?



Thanks,



Dennis



import ephem
sun = ephem.Sun()

# computing Spring equinox:
d1 = ephem.Date('2019/03/15')
d2 = ephem.Date('2019/03/25')
a=ephem.degrees('180.0')

for i in range(20):
#middle date
d3=(d1+d2)/2
sun.compute(d3)
if sun.hlon>a:
d2=d3
else:
d1=d3

print("d1=",ephem.Date(d1))
print("d2=",ephem.Date(d2))
d1 = ephem.next_equinox('2019')
print(d1)









share|improve this question

























  • Sorry, read Summer solstice instead of Summer equinox :-(

    – Dennis
    Jan 16 at 0:17






  • 1





    You can click on the edit link below your post to update your post :)

    – Gino Mempin
    Jan 16 at 0:42













  • The problem also occurs when using Newton's method within pyephem:

    – Dennis
    Jan 16 at 13:58














1












1








1








the code below tries to compute manually the first equinox of 2019.
It returns



('d1=', 2019/3/20 21:43:48)
('d2=', 2019/3/20 21:43:49)
2019/3/20 21:58:31



that is, a discrepancy of 15 minutes with the real equinox. Is this normal?
Did I forget something? The problem also occurs with the solstices, and also if I used the integrated newton method. Could it have something to do with the epoch of computation?



Thanks,



Dennis



import ephem
sun = ephem.Sun()

# computing Spring equinox:
d1 = ephem.Date('2019/03/15')
d2 = ephem.Date('2019/03/25')
a=ephem.degrees('180.0')

for i in range(20):
#middle date
d3=(d1+d2)/2
sun.compute(d3)
if sun.hlon>a:
d2=d3
else:
d1=d3

print("d1=",ephem.Date(d1))
print("d2=",ephem.Date(d2))
d1 = ephem.next_equinox('2019')
print(d1)









share|improve this question
















the code below tries to compute manually the first equinox of 2019.
It returns



('d1=', 2019/3/20 21:43:48)
('d2=', 2019/3/20 21:43:49)
2019/3/20 21:58:31



that is, a discrepancy of 15 minutes with the real equinox. Is this normal?
Did I forget something? The problem also occurs with the solstices, and also if I used the integrated newton method. Could it have something to do with the epoch of computation?



Thanks,



Dennis



import ephem
sun = ephem.Sun()

# computing Spring equinox:
d1 = ephem.Date('2019/03/15')
d2 = ephem.Date('2019/03/25')
a=ephem.degrees('180.0')

for i in range(20):
#middle date
d3=(d1+d2)/2
sun.compute(d3)
if sun.hlon>a:
d2=d3
else:
d1=d3

print("d1=",ephem.Date(d1))
print("d2=",ephem.Date(d2))
d1 = ephem.next_equinox('2019')
print(d1)






python datetime pyephem






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Jan 18 at 22:01







Dennis

















asked Jan 16 at 0:15









DennisDennis

62




62













  • Sorry, read Summer solstice instead of Summer equinox :-(

    – Dennis
    Jan 16 at 0:17






  • 1





    You can click on the edit link below your post to update your post :)

    – Gino Mempin
    Jan 16 at 0:42













  • The problem also occurs when using Newton's method within pyephem:

    – Dennis
    Jan 16 at 13:58



















  • Sorry, read Summer solstice instead of Summer equinox :-(

    – Dennis
    Jan 16 at 0:17






  • 1





    You can click on the edit link below your post to update your post :)

    – Gino Mempin
    Jan 16 at 0:42













  • The problem also occurs when using Newton's method within pyephem:

    – Dennis
    Jan 16 at 13:58

















Sorry, read Summer solstice instead of Summer equinox :-(

– Dennis
Jan 16 at 0:17





Sorry, read Summer solstice instead of Summer equinox :-(

– Dennis
Jan 16 at 0:17




1




1





You can click on the edit link below your post to update your post :)

– Gino Mempin
Jan 16 at 0:42







You can click on the edit link below your post to update your post :)

– Gino Mempin
Jan 16 at 0:42















The problem also occurs when using Newton's method within pyephem:

– Dennis
Jan 16 at 13:58





The problem also occurs when using Newton's method within pyephem:

– Dennis
Jan 16 at 13:58












2 Answers
2






active

oldest

votes


















0














It looks like the difference is because PyEphem's underlying astronomy library always measures heliocentric longitude relative to the coordinates of J2000, which by the date you are asking about is noticeably different from the coordinates-of-date which are used to define the equinox.



Try running this as your compute step:



sun.compute(d3, epoch=d3)


and then look for when sun.ra is zero degrees; the result should be the equinox. I'll see about getting the PyEphem Quick Reference updated to note that heliocentric coordinates don't seem to pay attention to the epoch= parameter.






share|improve this answer































    0














    Many thanks, Brandon, this is very helpful and I am finally getting the correct value! In fact, it seems that the equinoxes are defined by the right ascension being equal to 0h, 6h, 12h, 18h, and not the heliocentric longitude being 0, 90, 180, 270. There is a slight difference between ra and hlon, when you run the code below. But this leads to another question. The Wikipedia page https://en.wikipedia.org/wiki/Equinox says that the equinoxes are defined by the longitude being 0 or 180. So who is correct?



    import ephem
    sun = ephem.Sun()

    d1 = ephem.Date('2019/03/15')
    d2 = ephem.Date('2019/03/25')
    a=ephem.degrees('0.0') # or 90, or 180, or 270

    def spring_equinox(date):
    sun.compute(date)
    return ephem.degrees(sun.ra - a).znorm

    d = ephem.newton(spring_equinox, d1, d2)
    print(ephem.Date(d))
    print sun.ra
    print sun.hlon





    share|improve this answer
























    • (Before someone else points it out: this might have fit better as an update to your main question, maybe by editing and having it in a section called "Follow up:".) The RA and longitude should be 0 at the same time. The difference is that PyEphem is willing to give you RA in the coordinate system of the date you asked about, but longitude only in J2000 coordinates. Try reading about "precession", maybe on the Wikipedia, to understand why the coordinate systems shift where 0 is every year.

      – Brandon Rhodes
      Jan 20 at 21:16











    • Thanks. I know about precession, it's just that I didn't realize that RA and longitude can use different epochs! Many thanks again.

      – Dennis
      Jan 21 at 10:49











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    2 Answers
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    2 Answers
    2






    active

    oldest

    votes









    active

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    active

    oldest

    votes









    0














    It looks like the difference is because PyEphem's underlying astronomy library always measures heliocentric longitude relative to the coordinates of J2000, which by the date you are asking about is noticeably different from the coordinates-of-date which are used to define the equinox.



    Try running this as your compute step:



    sun.compute(d3, epoch=d3)


    and then look for when sun.ra is zero degrees; the result should be the equinox. I'll see about getting the PyEphem Quick Reference updated to note that heliocentric coordinates don't seem to pay attention to the epoch= parameter.






    share|improve this answer




























      0














      It looks like the difference is because PyEphem's underlying astronomy library always measures heliocentric longitude relative to the coordinates of J2000, which by the date you are asking about is noticeably different from the coordinates-of-date which are used to define the equinox.



      Try running this as your compute step:



      sun.compute(d3, epoch=d3)


      and then look for when sun.ra is zero degrees; the result should be the equinox. I'll see about getting the PyEphem Quick Reference updated to note that heliocentric coordinates don't seem to pay attention to the epoch= parameter.






      share|improve this answer


























        0












        0








        0







        It looks like the difference is because PyEphem's underlying astronomy library always measures heliocentric longitude relative to the coordinates of J2000, which by the date you are asking about is noticeably different from the coordinates-of-date which are used to define the equinox.



        Try running this as your compute step:



        sun.compute(d3, epoch=d3)


        and then look for when sun.ra is zero degrees; the result should be the equinox. I'll see about getting the PyEphem Quick Reference updated to note that heliocentric coordinates don't seem to pay attention to the epoch= parameter.






        share|improve this answer













        It looks like the difference is because PyEphem's underlying astronomy library always measures heliocentric longitude relative to the coordinates of J2000, which by the date you are asking about is noticeably different from the coordinates-of-date which are used to define the equinox.



        Try running this as your compute step:



        sun.compute(d3, epoch=d3)


        and then look for when sun.ra is zero degrees; the result should be the equinox. I'll see about getting the PyEphem Quick Reference updated to note that heliocentric coordinates don't seem to pay attention to the epoch= parameter.







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Jan 19 at 5:09









        Brandon RhodesBrandon Rhodes

        52k1391128




        52k1391128

























            0














            Many thanks, Brandon, this is very helpful and I am finally getting the correct value! In fact, it seems that the equinoxes are defined by the right ascension being equal to 0h, 6h, 12h, 18h, and not the heliocentric longitude being 0, 90, 180, 270. There is a slight difference between ra and hlon, when you run the code below. But this leads to another question. The Wikipedia page https://en.wikipedia.org/wiki/Equinox says that the equinoxes are defined by the longitude being 0 or 180. So who is correct?



            import ephem
            sun = ephem.Sun()

            d1 = ephem.Date('2019/03/15')
            d2 = ephem.Date('2019/03/25')
            a=ephem.degrees('0.0') # or 90, or 180, or 270

            def spring_equinox(date):
            sun.compute(date)
            return ephem.degrees(sun.ra - a).znorm

            d = ephem.newton(spring_equinox, d1, d2)
            print(ephem.Date(d))
            print sun.ra
            print sun.hlon





            share|improve this answer
























            • (Before someone else points it out: this might have fit better as an update to your main question, maybe by editing and having it in a section called "Follow up:".) The RA and longitude should be 0 at the same time. The difference is that PyEphem is willing to give you RA in the coordinate system of the date you asked about, but longitude only in J2000 coordinates. Try reading about "precession", maybe on the Wikipedia, to understand why the coordinate systems shift where 0 is every year.

              – Brandon Rhodes
              Jan 20 at 21:16











            • Thanks. I know about precession, it's just that I didn't realize that RA and longitude can use different epochs! Many thanks again.

              – Dennis
              Jan 21 at 10:49
















            0














            Many thanks, Brandon, this is very helpful and I am finally getting the correct value! In fact, it seems that the equinoxes are defined by the right ascension being equal to 0h, 6h, 12h, 18h, and not the heliocentric longitude being 0, 90, 180, 270. There is a slight difference between ra and hlon, when you run the code below. But this leads to another question. The Wikipedia page https://en.wikipedia.org/wiki/Equinox says that the equinoxes are defined by the longitude being 0 or 180. So who is correct?



            import ephem
            sun = ephem.Sun()

            d1 = ephem.Date('2019/03/15')
            d2 = ephem.Date('2019/03/25')
            a=ephem.degrees('0.0') # or 90, or 180, or 270

            def spring_equinox(date):
            sun.compute(date)
            return ephem.degrees(sun.ra - a).znorm

            d = ephem.newton(spring_equinox, d1, d2)
            print(ephem.Date(d))
            print sun.ra
            print sun.hlon





            share|improve this answer
























            • (Before someone else points it out: this might have fit better as an update to your main question, maybe by editing and having it in a section called "Follow up:".) The RA and longitude should be 0 at the same time. The difference is that PyEphem is willing to give you RA in the coordinate system of the date you asked about, but longitude only in J2000 coordinates. Try reading about "precession", maybe on the Wikipedia, to understand why the coordinate systems shift where 0 is every year.

              – Brandon Rhodes
              Jan 20 at 21:16











            • Thanks. I know about precession, it's just that I didn't realize that RA and longitude can use different epochs! Many thanks again.

              – Dennis
              Jan 21 at 10:49














            0












            0








            0







            Many thanks, Brandon, this is very helpful and I am finally getting the correct value! In fact, it seems that the equinoxes are defined by the right ascension being equal to 0h, 6h, 12h, 18h, and not the heliocentric longitude being 0, 90, 180, 270. There is a slight difference between ra and hlon, when you run the code below. But this leads to another question. The Wikipedia page https://en.wikipedia.org/wiki/Equinox says that the equinoxes are defined by the longitude being 0 or 180. So who is correct?



            import ephem
            sun = ephem.Sun()

            d1 = ephem.Date('2019/03/15')
            d2 = ephem.Date('2019/03/25')
            a=ephem.degrees('0.0') # or 90, or 180, or 270

            def spring_equinox(date):
            sun.compute(date)
            return ephem.degrees(sun.ra - a).znorm

            d = ephem.newton(spring_equinox, d1, d2)
            print(ephem.Date(d))
            print sun.ra
            print sun.hlon





            share|improve this answer













            Many thanks, Brandon, this is very helpful and I am finally getting the correct value! In fact, it seems that the equinoxes are defined by the right ascension being equal to 0h, 6h, 12h, 18h, and not the heliocentric longitude being 0, 90, 180, 270. There is a slight difference between ra and hlon, when you run the code below. But this leads to another question. The Wikipedia page https://en.wikipedia.org/wiki/Equinox says that the equinoxes are defined by the longitude being 0 or 180. So who is correct?



            import ephem
            sun = ephem.Sun()

            d1 = ephem.Date('2019/03/15')
            d2 = ephem.Date('2019/03/25')
            a=ephem.degrees('0.0') # or 90, or 180, or 270

            def spring_equinox(date):
            sun.compute(date)
            return ephem.degrees(sun.ra - a).znorm

            d = ephem.newton(spring_equinox, d1, d2)
            print(ephem.Date(d))
            print sun.ra
            print sun.hlon






            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered Jan 20 at 16:27









            DennisDennis

            62




            62













            • (Before someone else points it out: this might have fit better as an update to your main question, maybe by editing and having it in a section called "Follow up:".) The RA and longitude should be 0 at the same time. The difference is that PyEphem is willing to give you RA in the coordinate system of the date you asked about, but longitude only in J2000 coordinates. Try reading about "precession", maybe on the Wikipedia, to understand why the coordinate systems shift where 0 is every year.

              – Brandon Rhodes
              Jan 20 at 21:16











            • Thanks. I know about precession, it's just that I didn't realize that RA and longitude can use different epochs! Many thanks again.

              – Dennis
              Jan 21 at 10:49



















            • (Before someone else points it out: this might have fit better as an update to your main question, maybe by editing and having it in a section called "Follow up:".) The RA and longitude should be 0 at the same time. The difference is that PyEphem is willing to give you RA in the coordinate system of the date you asked about, but longitude only in J2000 coordinates. Try reading about "precession", maybe on the Wikipedia, to understand why the coordinate systems shift where 0 is every year.

              – Brandon Rhodes
              Jan 20 at 21:16











            • Thanks. I know about precession, it's just that I didn't realize that RA and longitude can use different epochs! Many thanks again.

              – Dennis
              Jan 21 at 10:49

















            (Before someone else points it out: this might have fit better as an update to your main question, maybe by editing and having it in a section called "Follow up:".) The RA and longitude should be 0 at the same time. The difference is that PyEphem is willing to give you RA in the coordinate system of the date you asked about, but longitude only in J2000 coordinates. Try reading about "precession", maybe on the Wikipedia, to understand why the coordinate systems shift where 0 is every year.

            – Brandon Rhodes
            Jan 20 at 21:16





            (Before someone else points it out: this might have fit better as an update to your main question, maybe by editing and having it in a section called "Follow up:".) The RA and longitude should be 0 at the same time. The difference is that PyEphem is willing to give you RA in the coordinate system of the date you asked about, but longitude only in J2000 coordinates. Try reading about "precession", maybe on the Wikipedia, to understand why the coordinate systems shift where 0 is every year.

            – Brandon Rhodes
            Jan 20 at 21:16













            Thanks. I know about precession, it's just that I didn't realize that RA and longitude can use different epochs! Many thanks again.

            – Dennis
            Jan 21 at 10:49





            Thanks. I know about precession, it's just that I didn't realize that RA and longitude can use different epochs! Many thanks again.

            – Dennis
            Jan 21 at 10:49


















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