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sections/geometrical-astronomy/dist-sizes.angular-size.tikz
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,32 @@ | ||
| \begin{tikzpicture} | ||
| \tkzDefPoint(0,0){C} | ||
| \tkzDefPoint(4,0){O} | ||
| \tkzDefPointBy[homothety=center C ratio .25](O) \tkzGetPoint{U} | ||
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| \tkzDrawCircle[color=black, fill=gray!40, thick](C,U) | ||
| \tkzDefLine[tangent from = O](C,U) \tkzGetPoints{I1}{I2} | ||
| \tkzDrawSegments(C,I1 C,I2 C,O) | ||
| \tkzDrawSegments[thick](O,I2 O,I1) | ||
| \tkzMarkRightAngles[size=0.2](O,I1,C C,I2,O) | ||
| \tkzMarkAngle[size=1.2](I2,O,C) | ||
| \tkzMarkAngle[size=1.1](C,O,I1) | ||
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| \tkzLabelSegment[left](C,I1){$R$} | ||
| \tkzLabelSegment[left](C,I2){$R$} | ||
| \tkzLabelSegment[above](C,O){$r$} | ||
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| \DeclareCollectionInstance{angular-size-xfrac}{xfrac}{mathdefault}{math}{ | ||
| denominator-bot-sep = -1pt, | ||
| slash-symbol = \scalebox{0.9}{/}, | ||
| numerator-bot-sep = 3pt, | ||
| scaling = true, | ||
| slash-right-mkern = -2 mu, | ||
| slash-left-mkern = -1.5 mu | ||
| } | ||
| \UseCollection{xfrac}{angular-size-xfrac} | ||
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| \tkzLabelAngle[pos=1.5](I2,O,C){$\sfrac{\rho}{2}$} | ||
| \tkzLabelAngle[pos=1.5](C,O,I1){$\sfrac{\rho}{2}$} | ||
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| \tkzDrawPoints(C, O, I1, I2) | ||
| \end{tikzpicture} |
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sections/geometrical-astronomy/dist-sizes.horizontal-parallax.tikz
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,19 @@ | ||
| \begin{tikzpicture} | ||
| \tkzDefPoint(0,0){O} | ||
| \tkzDefPoint(4,0){S} | ||
| \tkzDefPointBy[homothety=center O ratio .25](S) \tkzGetPoint{X} | ||
| \tkzDefPointBy[rotation=center O angle -90](X) \tkzGetPoint{C} | ||
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| \tkzDrawCircle[color=black, fill=gray!40, thick](C,O) | ||
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| \tkzDrawSegments[thick](O,S C,S) | ||
| \tkzDrawSegments(C,O) | ||
| \tkzMarkRightAngles[size=0.2](C,O,S) | ||
| \tkzMarkAngle(O,S,C) | ||
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| \tkzLabelSegment[below](C,S){$r$} | ||
| \tkzLabelSegment[left=-2pt](C,O){$R_\oplus$} | ||
| \tkzLabelAngle[pos=1.3, font=\footnotesize](O,S,C){$p$} | ||
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| \tkzDrawPoints(C, O, S) | ||
| \end{tikzpicture} |
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sections/geometrical-astronomy/dist-sizes.scheme-of-parallax.tikz
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,22 @@ | ||
| \begin{tikzpicture} | ||
| \tkzDefPoint(0,0){Sun} | ||
| \tkzDefPoint(3,0){Star} | ||
| \tkzDefPoint(0,1){E} | ||
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| \tkzLabelPoint[above](E){Земля} | ||
| \tkzLabelPoint[below](Sun){Солнце} | ||
| \tkzLabelPoint[below](Star){Звезда} | ||
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| \tkzDrawCircle[dashed, black, line width=.5pt](Sun,E) | ||
| \tkzDrawPolygon[thick](Sun,Star,E) | ||
| \tkzMarkRightAngle[size=0.2](Star,Sun,E) | ||
| \tkzMarkAngle(E,Star,Sun) | ||
| \tkzLabelAngle[font=\footnotesize, pos=1.2](E,Star,Sun){$p$} | ||
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| \earth(E) | ||
| \sun(Sun) | ||
| \pointStar(Star) | ||
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| \tkzLabelSegment[below](Sun,Star){$r$} | ||
| \tkzLabelSegment[left=-2pt](Sun,E){1\,\text{а.\!\:е.}} | ||
| \end{tikzpicture} |
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69 changes: 69 additions & 0 deletions
69
sections/geometrical-astronomy/eclipses.eclipses-circle-solar-eslipse.tikz
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,69 @@ | ||
| \begin{tikzpicture} | ||
| \def\e{0} | ||
| \def\m{-2.2} | ||
| \def\s{-7.2} | ||
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| \def\earthR{0.7} | ||
| \def\moonR{0.18} | ||
| \def\sunR{1} | ||
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| \def\gap{0.2} | ||
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| \tkzInit[ | ||
| xmax=\e + \earthR + \gap, | ||
| xmin=\s - \sunR - \gap, | ||
| ymin=-\sunR - \gap, | ||
| ymax=\sunR + \gap | ||
| ] | ||
| \tkzClip | ||
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| \tkzDefPoint(\e,0){E} | ||
| \tkzDefPoint(\m,0){M} | ||
| \tkzDefPoint(\s,0){S} | ||
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| \tkzDefShiftPoint[S](0,\sunR){S'} | ||
| \tkzDefShiftPoint[M](0,\moonR){M'} | ||
| \tkzDefShiftPoint[E](0,\earthR){E'} | ||
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| \def\shadeCornerCoef{\sunR / (\sunR - \moonR)} | ||
| \tkzDefPointBy[homothety=center S ratio \shadeCornerCoef](M) | ||
| \tkzGetPoint{SC} | ||
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| \def\halfShadowCornerCoef{\sunR / (\sunR + \moonR)} | ||
| \tkzDefPointBy[homothety=center S ratio \halfShadowCornerCoef](M) | ||
| \tkzGetPoint{HSC} | ||
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| \tkzDefLine[tangent from = SC](S,S') \tkzGetPoints{S1}{S2} | ||
| \tkzDefLine[tangent from = SC](M,M') \tkzGetPoints{M1}{M2} | ||
| \tkzDefLine[tangent from = HSC](S,S') \tkzGetPoints{HS1}{HS2} | ||
| \tkzDefLine[tangent from = HSC](M,M') \tkzGetPoints{HM1}{HM2} | ||
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| \tkzInterLC(SC,S1)(E,E') \tkzGetSecondPoint{E1} | ||
| \tkzInterLC(SC,S2)(E,E') \tkzGetFirstPoint{E2} | ||
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| \tkzGetVectxy(HSC,M){hs} | ||
| \def\halfShadowCoef{(\e - \m + \hsx) / \hsx } | ||
| \tkzDefPointBy[homothety=center HSC ratio \halfShadowCoef](HM1) | ||
| \tkzGetPoint{HE1} | ||
| \tkzDefPointBy[homothety=center HSC ratio \halfShadowCoef](HM2) | ||
| \tkzGetPoint{HE2} | ||
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| \tkzDefPointBy[homothety=center SC ratio -1](M1) \tkzGetPoint{SC1} | ||
| \tkzDefPointBy[homothety=center SC ratio -1](M2) \tkzGetPoint{SC2} | ||
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| \tkzDrawSector[fill=gray!30,gray!30](HSC,HE2)(HE1) | ||
| \tkzDrawSector[fill=gray!70](SC,M2)(M1) | ||
| \tkzDrawSector[fill=gray!50](SC,SC2)(SC1) | ||
| \tkzDrawSector[fill=white](HSC,HM2)(HM1) | ||
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| \tkzDrawCircles[dashed, line width=.4pt](S,E E,M) | ||
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| \tkzDrawCircles[black, line width=.4pt, fill=white](S,S' M,M') | ||
| \tkzDrawSegments(SC,S1 SC,S2 HS1,HE1 HS2,HE2) | ||
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| \tkzDrawCircles[black, line width=.4pt, fill=white, fill opacity=1](E,E') | ||
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| \tkzLabelPoint[inner sep=5mm](S){\tikz{\sun(S)}} | ||
| \tkzLabelPoint(E){\tikz{\earth(E)}} | ||
| \tkzLabelPoint(M){$\rightmoon$} | ||
| \end{tikzpicture} |
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sections/geometrical-astronomy/eclipses.eclipses-full-lunar-eclipse.tikz
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,103 @@ | ||
| \begin{tikzpicture} | ||
| \footnotesize | ||
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| % Radius of the Sun | ||
| \def\RS{1.5} | ||
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| % Radius of the Earth | ||
| \def\RE{1} | ||
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| % Radius of the Moon | ||
| \def\RM{0.4} | ||
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| % Earth orbit radius | ||
| \def\AE{3} | ||
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| % Moon orbit radius | ||
| \def\AM{1.7} | ||
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| % ALPHA | ||
| \pgfmathsetmacro\ALPHA{asin((\RS - \RE) / \AE)} | ||
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| % BETA | ||
| \pgfmathsetmacro\BETA{acos((\RE - \RM) / \AM)} | ||
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| % GAMMA | ||
| \pgfmathsetmacro\GAMMA{90 - \ALPHA - \BETA} | ||
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| % Earth | ||
| \tkzDefPoint(0,0){E} | ||
| \tkzDefCircle[R](E,\RE) \tkzGetPoint{e} | ||
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| % Sun | ||
| \tkzDefShiftPoint[E](-\AE,0){S} | ||
| \tkzDefCircle[R](S,\RS) \tkzGetPoint{s} | ||
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| % Moon | ||
| \tkzDefShiftPoint[E](\AM,0){m} | ||
| \tkzDefPointBy[rotation=center E angle \GAMMA](m) \tkzGetPoint{M} | ||
| \tkzDefCircle[R](M,\RM) \tkzGetPoint{m} | ||
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| % Intersection of Sun-Earth and common tangent to Sun and Earth | ||
| \tkzDefPointBy[homothety=center S ratio (\RS / (\RS - \RE))](E) | ||
| \tkzGetPoint{I} | ||
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| % Tangent points of the Sun | ||
| \tkzDefLine[tangent from = I](S,s) \tkzGetPoints{S'}{x} | ||
| \tkzDefPointBy[reflection = over S--E](S') \tkzGetPoint{S''} | ||
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| % Tangent points of the Earth | ||
| \tkzDefLine[tangent from = I](E,e) \tkzGetPoints{E'}{x} | ||
| \tkzDefPointBy[reflection = over S--E](E') \tkzGetPoint{E''} | ||
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| % Tangent point of the Moon | ||
| \tkzDefLine[tangent from = I](M,m) \tkzGetPoints{x}{M'} | ||
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| % Projection of the center of the Moon to the radius of the Earth | ||
| \tkzDefPointBy[projection=onto E--E''](M) \tkzGetPoint{I'} | ||
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| % Intersection of a normal to Sun-Earth at the center of the Earth with common tangent of Sun and Earth | ||
| \tkzDefPointWith[orthogonal,K=-1](E,I) \tkzGetPoint{x} | ||
| \tkzInterLL(E,x)(I,E'') \tkzGetPoint{I''} | ||
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| % Draw shadow | ||
| \tkzDrawPolygon[fill=gray!70,draw=none](E',I,E'') | ||
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| % Draw objects | ||
| \tkzDrawCircles[black, thick, fill=white](E,e) | ||
| \tkzDrawCircles[black, thick, fill=white](S,s) | ||
| \tkzDrawCircles[black, thick, fill=white](M,m) | ||
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| \begin{scope}[ | ||
| dim style/.style={black, latex-latex, opacity=1}, | ||
| dim fence style/.style={black, opacity=1} | ||
| ] | ||
| \tkzDrawSegment[opacity=0, dim={$D$, -1.6cm, below=2pt}](S,E) | ||
| \end{scope} | ||
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| \tkzDrawSegments(S,I E,M S,S' S,S'' E,E' E,E'' M,M' E,I'') | ||
| \tkzDrawSegments[semithick](S',I S'',I) | ||
| \tkzDrawSegments[dashed](M,I') | ||
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| \tkzMarkRightAngles[size=0.15](I,E',E E,E'',I I,S',S S,S'',I I'',E,S E'',M',M E,I',M) | ||
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| \tkzMarkAngle[arc=l, size=0.7](E'',E,I'') | ||
| \tkzMarkAngle[arc=l, size=1.3](E'',I,E) | ||
| \tkzLabelAngle[pos=1.5](E'',I,E){\footnotesize$\alpha$} | ||
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| \tkzMarkAngle[arc=ll, size=0.25](M,E,I') | ||
| \tkzLabelAngle[pos=0.5](M,E,I'){\footnotesize$\beta$} | ||
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| \tkzMarkAngle[arc=lll, size=1.5](I,E,M) | ||
| \tkzLabelAngle[pos=1.7](I,E,M){\footnotesize$\gamma$} | ||
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| \tkzDrawPoints(S, S', S'') | ||
| \tkzDrawPoints(E, E', E'') | ||
| \tkzDrawPoints(M, M') | ||
| \tkzDrawPoints(I, I', I'') | ||
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| \tkzLabelSegment[right](S,S'){$R_0$} | ||
| \tkzLabelSegment[right](E,E'){$R$} | ||
| \tkzLabelSegment[right=-1pt,pos=0.4](M,M'){$r$} | ||
| \tkzLabelSegment[above=-1pt,pos=0.45](E,M){$d$} | ||
| \end{tikzpicture} |
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