I accounted for that in my last example. Did you not see where I stated:
Premise:
- A Sidrael Day/Solar Day happens every 23.933333 hours
then i don't see what the issue is. it's a very simple calculation. i even stuck to integers to make it clearer to see.
4 minutes per solar day * 180 solar days = 720 minutes = 12 hours.
over the course of 6 months, sidereal noon will be ~12 hours behind solar noon. what's the problem?
I think the definitions we are using for these terms may be slightly mixed up.
Lets look at this:
https://community.dur.ac.uk/john.lucey/users/e2_solsid.htmlSolar time is time measured with respect to the Sun's apparent motion in the sky. The clocks we use for civil timekeeping are based on this motion. Of course, the apparent motion of the Sun across the sky is actually caused by the rotation of the Earth. So, our clocks measure the length of time required for the Earth to rotate once with respect to the Sun. From our perspective, the Sun revolves around the Earth every 24 hours. This period is known as a solar day.
Sidereal time is time measured with respect to the apparent motion of the 'fixed' stars in the sky due to the Earth's rotation. While the Earth is rotating on its axis it is also moving along its orbit around the Sun. Over the course of a day the Earth moves about one degree along its orbit (360 degrees in a full orbit divided by 365.25 days in a year is about one degree). Therefore, from our perspective, the Sun moves about one degree from west to east with respect to the 'fixed' stars.
And this one:
http://astronomy.swin.edu.au/cosmos/S/Sidereal+DayA solar day is the time it takes for the Earth to rotate about its axis so that the Sun appears in the same position in the sky. The sidereal day is ~4 minutes shorter than the solar day. The sidereal day is the time it takes for the Earth to complete one rotation about its axis with respect to the 'fixed' stars.
It says that Solar time is measured with respect to the Sun's apparent motion in the sky, and is 24 hours.
Sidrael time is measured with respect to the Stars, and is the 23.933333 hours per rotation value. Why would you use the time the stars rotate around the earth in this when we are concerned with the Sun?
Those links say that Solar Time has a 24 hour cycle. Lets use the value according to this link.
Lets now define that a Solar Day happens every 24 hours, and the year every 365.25636 days.
Premise:
- A Solar Day happens every 24 hours
- A year happens every 365.25636 days
365.25636 / 2 = 182.62818 days in six months
182.62818 / 24 = 7.609
A 24 hour cycle does
not fit neatly into 182.62818 days.
Sidrael Time is star time, not the day and night time, and if that is the definition then I don't see why we should use it in this at all.