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}}
{{QualityImage}},
 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]