SolarEclipse

Astronomy

Solar Eclipse Saros–Inex Panorama

Highlight a solar eclipse in a 3000-year Saros–Inex panorama

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The timing of eclipses falls into patterns based, among other things, on cycles of 18 and 29 years. The Saros eclipse cycle (about 18 years) and the Inex eclipse cycle (about 29 years) are complementary and allow one to identify each eclipse with a pair of indices

{saros,inex}

. The collection of the pairs corresponding to all known eclipses is called the "Saros-Inex panorama".

Find the Saros and Inex numbers for all solar eclipses between 500 A.D. and 3500 A.D., with each eclipse being a point

{saros,inex}

In[1]:=

si3K=SolarEclipse[{DateObject[{500}],DateObject[{3500}],All},"SarosInex"];

type3K=SolarEclipse[{DateObject[{500}],DateObject[{3500}],All},"Type"];

colorrules=

annular

ECLIPSE TYPE

StandardBlue,

hybrid

ECLIPSE TYPE

StandardYellow,

partial

ECLIPSE TYPE

StandardPink,

total

ECLIPSE TYPE

StandardPurple;

legend=SwatchLegend[colorrules〚All,2〛,colorrules〚All,1〛];

pairs3K=Transpose[{si3K,type3K}]/.colorrules;

Choose an eclipse to highlight:

In[2]:=

si=SolarEclipse[DateObject[{2024}],"SarosInex"]

Out[2]=

{139,55}

Plot the selected eclipse within the collection of all eclipses within the date range:

In[3]:=

Legended[Graphics[{Point[pairs3K〚All,1〛,VertexColorspairs3K〚All,2〛],Red,PointSize[Large],Point[si]},FrameTrue,ImageSizeMedium],legend]

Out[193]=

	annular
	hybrid
	partial
	total

Use 30,000 years of eclipses:

In[4]:=

si30K=SolarEclipse[{DateObject[{-13000}],DateObject[{17000}],All},"SarosInex"];type30K=SolarEclipse[{DateObject[{-13000}],DateObject[{17000}],All},"Type"];pairs30K=Transpose[{si30K,type30K}]/.colorrules;legend=Placed[SwatchLegend[colorrules〚All,2〛,colorrules〚All,1〛,LegendLayout"Row"],Below];Legended[Graphics[{Point[pairs30K〚All,1〛,VertexColorspairs30K〚All,2〛],Red,PointSize[Large],Point[si]},FrameTrue,ImageSizeMedium],legend]

Out[4]=

External Links

https://writings.stephenwolfram.com/2024/03/when-exactly-will-the-eclipse-happen-a-multimillennium-tale-of-computation/
https://writings.stephenwolfram.com/2024/03/computing-the-eclipse-astronomy-in-the-wolfram-language/

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SolarEclipse

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Contributed by: Jeff Bryant

Wolfram Language Example Repository

Solar Eclipse Saros–Inex Panorama

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