I'm getting much better accuracy sticking with my original
gravity simulator, just with smaller time increments, than
I was with the Runge-Kutta 4 method. The PlutoStateTable
gets a bit larger (51 state vectors instead of 41), but the
accuracy is so much higher.
Removed the Runge-Kutta code because I won't be going back to it.
This caused me to discover I had forgotten to finish
making the necessary changes to astronomy.ts for saving
the cartesian vector inside the EquatorialCoordinates class.
I also realized I had made a mistake in the documentation
for the y-coordinate of the vector: it is the June solstice;
there is no such thing as a September solstice!
Also fixed some mistakes in demo tests: if something failed,
I was printing out the wrong filename (camera.c instead of camera.cs).
Added a C# demo program camera.cs that works the same way
as the C demo program camera.c.
I realized I can speed up the C# demo tests by directly
running the executables after I build them, instead of using 'dotnet'.
Added 'vec' field to Equatorial class. I just realized I no longer need
the function VectorFromEquator(), because the vector is now available
as 'vec'. I will get rid of it in another commit.
When built from a system with a European (or similar) culture setting
where a comma is used as a decimal marker instead of a period,
the C# unit tests and demos would fail.
Now explicitly specify InvariantCulture to resolve these problems.
In all four versions of Astronomy Engine (C, C#, JavaScript, and Python),
starting a search for a full moon near December 19, 2020 would fail.
I added a unit test to all four languages and it failed consistently
across them all.
The root cause: I was too optimistic about how narrow I could make
the window around the approximate moon phase time in the
SearchMoonPhase functions. Finding the exact moon phase time failed
because it was outside this excessively small window around the approximate
time. I increased the window from 1.8 days to 3.0 days.
This should handle all cases with minimal impact on performance.
Now all four of the new unit tests pass.
I believe this wraps up the Python integrator.
It now works in all 4 languages and passes all tests.
Fixed up demo tests to match new output.
Turned on Travis CI checking in this branch again.
Also corrected code generator to output term coefficients
in scientific notation. In the C code, it was dropping signficant
digits by outputting in fixed point notation.
To be consistent, when calculating the geocentric position of the Sun,
we do need to correct for light travel time just like we would for any
other object. This reduces the maximum time error for predicting transits
from 25 minutes to 11 minutes.
Also had to disable aberration when calculating moon phases
(longitude from Sun) in order to keep a good fit with test data.
In all 4 supported languages, use consistent constant names for
Earth and Moon radii.
Use Moon's equatorial radius for rise/set timing.
Use Moon's mean radius for calculating Moon's umbra radius for
detecting solar eclipses.
Also use Moon's mean radius for determining whether the Earth's shadow
touches the Moon, for finding lunar eclipses.
Use the Moon's polar radius for distinguishing between total
and annular eclipses, with a 14 meter bias (instead of 1420 meters!)
to match Espenak data.
Use consistent unit test error threshold of 0.57 minutes for rise/set.
Updated demo test data for slight changes to rise/set prediction times.
Updated doxygen options to issue an error on any warnings.
Fixed the incorrect function name link that doxygen was warning me about.
