Original file(SVG file, nominally 600 × 600 pixels, file size: 92 KB)

Description
English: A spatial representation of every star within 14 light-years of Sol. There are 32 known stars in this region, including Sol. The stars are coloured according to the spectral type, which may not reflect the actual colour. Please see this Wikipedia article for the listing of stars. If a star is double or triple the stars are shown stacked vertically: the actual position is the star closest to the centre plane. The stars on this map may not all be visible to the naked eye, as many are dwarf stars. Some of this information may be preliminary and not entirely accurate as a result. The coordinate system is right ascension and declination. Hours of RA are marked, as well as distance in multiples of 5 light-years.
Date
Permission
(Reusing this file)
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SVG development

## Mathematica Code

```raToTheta[{h_, m_, s_}] := 15*h + 15/60*m + 15/3600*s;
decToPhi[{d_, m_, s_}] := 90 - (d + (m/60 + s/3600)*Sign[d]);

(*Returns celestial RA and Dec as radians in spherical coords*)
celestialToSph[{{rah_, ram_, ras_}, {dd_, dm_, ds_}, dist_, name_}] :=
{
raToTheta[{rah, ram, ras}] Degree,
decToPhi[{dd, dm, ds}] Degree,
dist
};

(*Map Spherical coords to Cartesian*)
sphereMap[{phi_, theta_, r_}] :=
{
r*Sin[theta] Cos[phi],
r*Sin[theta] Sin[phi],
r*Cos[theta]};

(*Produce a circle of radius r offset in the z axis by z*)
offsetCircle[r_, z_] := ParametricPlot3D[
{r*Cos[t],
r*Sin[t],
z},
{t, 0, 2 Pi}];

(*Star list as {RA},{Dec},Distance,Name}*)
starList =
{
{{0, 0, 0}, {0, 0, 0}, 0, "Sun"},
{{14, 29, 43}, {-62, 40, 46}, 4.2421, "Proxima Centauri"},
{{14, 39, 36.5}, {-60, 50, 02}, 4.3650, "\[Alpha] Centauri"},
{{17, 39, 35.1}, {4, 41, 36}, 5.9630, "Barnard's Star"},
{{10, 49, 18.7}, {-53, 19, 10}, 6.5880, "Luhman 16"},
{{10, 56, 29.2}, {7, 0, 53}, 7.7825, "Wolf 359"},
{{11, 3, 20.2}, {35, 58, 12}, 8.2905, "Lalande 21185"},
{{6, 45, 8.8}, {-16, 42, 58}, 8.5828, "Sirius"},
{{1, 39, 1.3}, {-17, 57, 01}, 8.7280, "Luyten 726-8"},
{{15, 41, 51.5}, {-22, 50, 25}, 9.3000, "Wise 1541-2250"},
{{18, 49, 49.4}, {-23, 50, 10}, 9.6183, "Ross 154"},
{{23, 41, 54.7}, {44, 10, 30}, 10.322, "Ross 248"},
{{3, 32, 55.8}, {-9, 27, 30}, 10.522, "\[Epsilon] Eridani"},
{{23, 5, 52}, {-35, 51, 11}, 10.742, "Lacaille 9352"},
{{11, 47, 44.4}, {0, 48, 16}, 10.919, "Ross 128"},
{{22, 38, 33.4}, {-15, 18, 7}, 11.266, "EZ Aquarii"},
{{07, 39, 18.1}, {5, 13, 30}, 11.402, "Procyon"},
{{21, 06, 53.9}, {38, 44, 58}, 11.403, "61 Cygni"},
{{18, 42, 46.7}, {59, 37, 49}, 11.525, "Struve 2398"},
{{1, 18, 22.9}, {44, 1, 23}, 11.624, "Groombridge 34"},
{{22, 3, 21.7}, {-56, 47, 10}, 11.824, "\[Epsilon] Indi"},
{{8, 29, 49.5}, {26, 46, 37}, 11.826, "DX Cancri"},
{{1, 44, 4.1}, {-15, 56, 15}, 11.887, "\[Tau] Ceti"},
{{3, 35, 59.7}, {-44, 30, 45}, 11.991, "GJ 1061"},
{{1, 12, 30.6}, {-16, 59, 56}, 12.132, "YZ Ceti"},
{{07, 27, 24.5}, {5, 13, 33}, 12.366, "Luyten's Star"},
{{2, 53, 0.9}, {16, 52, 53}, 12.571, "Teegarden's Star"},
{{18, 45, 5.3}, {-63, 57, 48}, 12.571, "SCR 1845-6357"},
{{5, 11, 40.6}, {-45, 1, 6}, 12.777, "Kapteyn's Star"},
{{21, 17, 15.3}, {-38, 52, 03}, 12.870, "Lacaille 8760"},
{{22, 27, 59.5}, {57, 41, 45}, 13.149, "Kruger 60"},
{{10, 48, 14.7}, {-39, 56, 06}, 13.167, "DEN 1048-3956"},
{{6, 29, 23.4}, {-2, 48, 50}, 13.349, "Ross 614"}
};

(*Get stars in {phi, theta, r} format*)
starsDeg = Map[celestialToSph, starList, 1];
(*Map into the Cartesian space*)
starPlot = sphereMap /@ starsDeg;
stars = ListPointPlot3D[starPlot];
labels = Table[
Graphics3D[
Text[
starList[[i, 4]],
starPlot[[i]],
{-1.1, 0}
]],
{i, 1, Length[starList]}];
posLines = Table[
Graphics3D[{Orange,
Line[
{{0, 0, 0},
{starPlot[[i, 1]], starPlot[[i, 2]], 0},
starPlot[[i]]}
]}],
{i, 2, Length[starList]}];
gridhours = Graphics3D[
{Line[{{-20, 0, 0}, {20, 0, 0}}],
Line[{{0, -20, 0}, {0, 20, 0}}]}];
gridly = {offsetCircle[5, 0],
offsetCircle[10, 0],
offsetCircle[15, 0]};
viewDist = 20000; (*Distance of Viewpoint*)
viewRA = 225 Degree; (*RA of viewpoint*)
viewDec = 20 Degree;(*Dec of viewpoint*)
Show[
labels,
posLines,
stars,
gridhours,
gridly,

BaseStyle -> {FontFamily -> "DejaVu Sans"},
PlotRange -> {{-15, 15}, {-15, 15}, {-12, 12}},
SphericalRegion -> True,
Axes -> False,
BoxRatios -> {1, 1, 1},
Boxed -> False,
(*ViewPoint -> {Sin[viewRA]*viewDist, Cos[viewRA]*viewDist,
Sin[viewDec]*viewDist},*)
(*ViewVertical -> {0, 0, 1},*)
AxesLabel -> {"x", "y", "z"},
ImageSize -> 1000]
```

## File history

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Date/TimeThumbnailDimensionsUserComment
current20:08, 6 April 2008600 × 600 (92 KB)Inductiveload{{Information |Description=A spatial representation of every star within 14 light-years of en:Sol. There are 32 stars in this region, including Sol. The stars are coloured according to the spectral type, which may not reflect the actual colour. Plea
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