• Processing (Info)

  • Elements and Ephemeris for 50P/Arend

    Orbital Elements

    The following orbital elements are taken from MPC 84320:
      50P/Arend
    Epoch 2015 June 27.0 TT = JDT 2457200.5
    T 2016 Feb. 8.1824 TT                                   MPC
    q   1.918760             (2000.0)            P               Q
    n   0.1193520      Peri.   49.2227      +0.7109667      -0.7026851
    a   4.085541       Node   355.1762      +0.5048938      +0.5373490
    e   0.530353       Incl.   19.1387      +0.4894984      +0.4663579
    P   8.26
    From 1104 observations 1975-2009, mean residual 0".7.  Nongravitational
         parameters A1 = +0.17, A2 = -0.0158.
    
    An explanation of the orbital elements is available.

    These orbital elements are also available in forms suitable for loading into a number of popular planetarium-type software programs.


    Ephemeris

    Personalized ephemerides for this (and other) objects may be generated using the Minor Planet & Comet Ephemeris Service.

    Download this ephemeris as a KML file.

    Date    TT    R. A. (2000) Decl.     Delta      r    Elong.  Phase   m1    m2
    2015 05 28    23 04 52.3 -19 06 54   2.7427  2.8636    86.4    20.7  18.5  22.5
    2015 05 29    23 05 51.6 -19 00 59   2.7246  2.8583    87.1    20.7  18.5  22.5
    2015 05 30    23 06 50.3 -18 55 06   2.7066  2.8530    87.8    20.8  18.5  22.5
    2015 05 31    23 07 48.4 -18 49 15   2.6885  2.8477    88.5    20.8  18.5  22.4
    2015 06 01    23 08 45.8 -18 43 27   2.6704  2.8424    89.2    20.9  18.4  22.4
    2015 06 02    23 09 42.6 -18 37 42   2.6524  2.8371    89.8    20.9  18.4  22.4
    2015 06 03    23 10 38.7 -18 32 00   2.6344  2.8317    90.5    21.0  18.4  22.4
    2015 06 04    23 11 34.1 -18 26 20   2.6163  2.8264    91.2    21.0  18.4  22.4
    2015 06 05    23 12 28.8 -18 20 43   2.5983  2.8211    91.9    21.1  18.3  22.4
    2015 06 06    23 13 22.8 -18 15 09   2.5803  2.8158    92.6    21.1  18.3  22.3
    2015 06 07    23 14 16.2 -18 09 38   2.5624  2.8105    93.3    21.1  18.3  22.3
    2015 06 08    23 15 08.7 -18 04 10   2.5444  2.8052    94.1    21.2  18.2  22.3
    2015 06 09    23 16 00.6 -17 58 45   2.5265  2.7999    94.8    21.2  18.2  22.3
    2015 06 10    23 16 51.6 -17 53 23   2.5086  2.7946    95.5    21.2  18.2  22.3
    2015 06 11    23 17 41.9 -17 48 04   2.4907  2.7893    96.2    21.2  18.2  22.2
    2015 06 12    23 18 31.4 -17 42 48   2.4729  2.7840    96.9    21.2  18.1  22.2
    2015 06 13    23 19 20.1 -17 37 36   2.4551  2.7787    97.6    21.2  18.1  22.2
    2015 06 14    23 20 08.0 -17 32 27   2.4373  2.7734    98.4    21.2  18.1  22.2
    2015 06 15    23 20 55.0 -17 27 22   2.4196  2.7681    99.1    21.2  18.1  22.2
    2015 06 16    23 21 41.1 -17 22 19   2.4019  2.7628    99.8    21.2  18.0  22.1
    2015 06 17    23 22 26.4 -17 17 21   2.3842  2.7575   100.6    21.2  18.0  22.1
    2015 06 18    23 23 10.8 -17 12 25   2.3666  2.7523   101.3    21.2  18.0  22.1
    2015 06 19    23 23 54.2 -17 07 34   2.3491  2.7470   102.0    21.2  17.9  22.1
    2015 06 20    23 24 36.8 -17 02 45   2.3315  2.7417   102.8    21.2  17.9  22.1
    2015 06 21    23 25 18.4 -16 58 01   2.3141  2.7364   103.5    21.2  17.9  22.0
    2015 06 22    23 25 59.1 -16 53 19   2.2967  2.7312   104.3    21.1  17.9  22.0
    2015 06 23    23 26 38.7 -16 48 42   2.2793  2.7259   105.0    21.1  17.8  22.0
    2015 06 24    23 27 17.4 -16 44 08   2.2620  2.7206   105.8    21.1  17.8  22.0
    2015 06 25    23 27 55.1 -16 39 37   2.2448  2.7154   106.6    21.0  17.8  22.0
    2015 06 26    23 28 31.8 -16 35 11   2.2276  2.7101   107.3    21.0  17.7  21.9
    2015 06 27    23 29 07.4 -16 30 47   2.2105  2.7048   108.1    20.9  17.7  21.9
    2015 06 28    23 29 42.0 -16 26 28   2.1935  2.6996   108.9    20.9  17.7  21.9
    2015 06 29    23 30 15.6 -16 22 12   2.1766  2.6943   109.7    20.8  17.6  21.9
    2015 06 30    23 30 48.0 -16 18 00   2.1597  2.6891   110.4    20.7  17.6  21.8
    2015 07 01    23 31 19.3 -16 13 52   2.1429  2.6839   111.2    20.7  17.6  21.8
    2015 07 02    23 31 49.5 -16 09 47   2.1261  2.6786   112.0    20.6  17.6  21.8
    2015 07 03    23 32 18.6 -16 05 47   2.1095  2.6734   112.8    20.5  17.5  21.8
    2015 07 04    23 32 46.5 -16 01 50   2.0929  2.6682   113.6    20.4  17.5  21.7
    2015 07 05    23 33 13.2 -15 57 56   2.0764  2.6629   114.4    20.3  17.5  21.7
    2015 07 06    23 33 38.7 -15 54 07   2.0601  2.6577   115.2    20.2  17.4  21.7
    2015 07 07    23 34 03.0 -15 50 21   2.0437  2.6525   116.1    20.1  17.4  21.7
    2015 07 08    23 34 26.0 -15 46 40   2.0275  2.6473   116.9    20.0  17.4  21.6
    2015 07 09    23 34 47.8 -15 43 02   2.0114  2.6421   117.7    19.9  17.3  21.6
    2015 07 10    23 35 08.2 -15 39 28   1.9954  2.6369   118.5    19.8  17.3  21.6
    2015 07 11    23 35 27.3 -15 35 58   1.9795  2.6317   119.4    19.7  17.3  21.6
    2015 07 12    23 35 45.1 -15 32 31   1.9637  2.6265   120.2    19.5  17.3  21.5
    2015 07 13    23 36 01.5 -15 29 09   1.9480  2.6213   121.1    19.4  17.2  21.5
    2015 07 14    23 36 16.5 -15 25 50   1.9324  2.6161   121.9    19.3  17.2  21.5
    2015 07 15    23 36 30.2 -15 22 35   1.9169  2.6109   122.8    19.1  17.2  21.5
    2015 07 16    23 36 42.3 -15 19 23   1.9015  2.6057   123.6    19.0  17.1  21.4
    2015 07 17    23 36 53.1 -15 16 15   1.8863  2.6006   124.5    18.8  17.1  21.4
    2015 07 18    23 37 02.3 -15 13 11   1.8712  2.5954   125.4    18.6  17.1  21.4
    2015 07 19    23 37 10.1 -15 10 10   1.8562  2.5903   126.3    18.4  17.0  21.4
    2015 07 20    23 37 16.4 -15 07 13   1.8413  2.5851   127.1    18.3  17.0  21.3
    2015 07 21    23 37 21.2 -15 04 19   1.8266  2.5800   128.0    18.1  17.0  21.3
    2015 07 22    23 37 24.4 -15 01 28   1.8120  2.5748   128.9    17.9  17.0  21.3
    2015 07 23    23 37 26.0 -14 58 40   1.7976  2.5697   129.8    17.7  16.9  21.2
    2015 07 24    23 37 26.1 -14 55 55   1.7833  2.5646   130.7    17.5  16.9  21.2
    2015 07 25    23 37 24.7 -14 53 13   1.7691  2.5595   131.7    17.2  16.9  21.2
    2015 07 26    23 37 21.6 -14 50 34   1.7551  2.5543   132.6    17.0  16.8  21.2
    2015 07 27    23 37 16.9 -14 47 58   1.7413  2.5492   133.5    16.8  16.8  21.1
    2015 07 28    23 37 10.6 -14 45 24   1.7276  2.5441   134.4    16.6  16.8  21.1
    2015 07 29    23 37 02.6 -14 42 53   1.7140  2.5391   135.4    16.3  16.7  21.1
    2015 07 30    23 36 53.0 -14 40 24   1.7006  2.5340   136.3    16.1  16.7  21.0
    2015 07 31    23 36 41.7 -14 37 58   1.6874  2.5289   137.3    15.8  16.7  21.0
    2015 08 01    23 36 28.8 -14 35 33   1.6744  2.5238   138.2    15.5  16.7  21.0
    2015 08 02    23 36 14.2 -14 33 11   1.6615  2.5188   139.2    15.3  16.6  21.0
    2015 08 03    23 35 57.8 -14 30 50   1.6488  2.5137   140.2    15.0  16.6  20.9
    2015 08 04    23 35 39.8 -14 28 31   1.6363  2.5087   141.2    14.7  16.6  20.9
    2015 08 05    23 35 20.0 -14 26 14   1.6239  2.5036   142.1    14.4  16.5  20.9
    2015 08 06    23 34 58.5 -14 23 58   1.6118  2.4986   143.1    14.1  16.5  20.8
    2015 08 07    23 34 35.3 -14 21 43   1.5998  2.4936   144.1    13.8  16.5  20.8
    2015 08 08    23 34 10.3 -14 19 29   1.5880  2.4886   145.1    13.5  16.4  20.8
    2015 08 09    23 33 43.6 -14 17 16   1.5764  2.4836   146.1    13.1  16.4  20.7
    2015 08 10    23 33 15.1 -14 15 03   1.5650  2.4786   147.2    12.8  16.4  20.7
    2015 08 11    23 32 45.0 -14 12 51   1.5539  2.4736   148.2    12.5  16.4  20.7
    2015 08 12    23 32 13.0 -14 10 39   1.5429  2.4686   149.2    12.1  16.3  20.6
    2015 08 13    23 31 39.4 -14 08 26   1.5321  2.4636   150.2    11.8  16.3  20.6
    2015 08 14    23 31 04.1 -14 06 13   1.5215  2.4587   151.3    11.4  16.3  20.6
    2015 08 15    23 30 27.0 -14 04 00   1.5112  2.4537   152.3    11.1  16.2  20.5
    2015 08 16    23 29 48.3 -14 01 45   1.5011  2.4488   153.4    10.7  16.2  20.5
    2015 08 17    23 29 08.0 -13 59 29   1.4912  2.4439   154.4    10.3  16.2  20.5
    2015 08 18    23 28 26.0 -13 57 12   1.4815  2.4389   155.5     9.9  16.2  20.4
    2015 08 19    23 27 42.4 -13 54 52   1.4721  2.4340   156.5     9.5  16.1  20.4
    2015 08 20    23 26 57.2 -13 52 31   1.4629  2.4291   157.6     9.2  16.1  20.4
    2015 08 21    23 26 10.5 -13 50 07   1.4539  2.4242   158.6     8.8  16.1  20.3
    2015 08 22    23 25 22.3 -13 47 40   1.4451  2.4194   159.7     8.4  16.1  20.3
    2015 08 23    23 24 32.7 -13 45 10   1.4366  2.4145   160.7     8.0  16.0  20.3
    2015 08 24    23 23 41.6 -13 42 37   1.4284  2.4096   161.8     7.5  16.0  20.2
    2015 08 25    23 22 49.1 -13 40 00   1.4204  2.4048   162.8     7.1  16.0  20.2
    2015 08 26    23 21 55.3 -13 37 20   1.4126  2.4000   163.8     6.7  16.0  20.2
    2015 08 27    23 21 00.2 -13 34 35   1.4051  2.3951   164.9     6.3  15.9  20.1
    2015 08 28    23 20 03.9 -13 31 46   1.3978  2.3903   165.9     5.9  15.9  20.1
    2015 08 29    23 19 06.3 -13 28 51   1.3908  2.3855   166.9     5.5  15.9  20.1
    2015 08 30    23 18 07.7 -13 25 52   1.3840  2.3807   167.9     5.1  15.9  20.0
    2015 08 31    23 17 07.9 -13 22 48   1.3775  2.3760   168.8     4.7  15.8  20.0
    2015 09 01    23 16 07.1 -13 19 38   1.3713  2.3712   169.7     4.4  15.8  19.9
    2015 09 02    23 15 05.3 -13 16 22   1.3653  2.3665   170.5     4.0  15.8  19.9
    2015 09 03    23 14 02.7 -13 13 00   1.3596  2.3617   171.3     3.7  15.8  19.9
    2015 09 04    23 12 59.2 -13 09 32   1.3541  2.3570   171.9     3.4  15.7  19.9
    2015 09 05    23 11 54.9 -13 05 58   1.3489  2.3523   172.4     3.2  15.7  19.8
    2015 09 06    23 10 49.9 -13 02 16   1.3439  2.3476   172.8     3.1  15.7  19.8
    2015 09 07    23 09 44.3 -12 58 28   1.3393  2.3429   173.0     3.0  15.7  19.8
    2015 09 08    23 08 38.2 -12 54 32   1.3349  2.3382   173.0     3.0  15.7  19.8
    2015 09 09    23 07 31.6 -12 50 28   1.3307  2.3336   172.8     3.1  15.6  19.8
    2015 09 10    23 06 24.6 -12 46 17   1.3269  2.3289   172.4     3.3  15.6  19.8
    2015 09 11    23 05 17.4 -12 41 58   1.3232  2.3243   171.8     3.5  15.6  19.8
    2015 09 12    23 04 09.9 -12 37 31   1.3199  2.3197   171.1     3.8  15.6  19.8
    2015 09 13    23 03 02.3 -12 32 55   1.3168  2.3151   170.3     4.2  15.6  19.8
    2015 09 14    23 01 54.8 -12 28 11   1.3140  2.3105   169.4     4.6  15.5  19.8
    2015 09 15    23 00 47.2 -12 23 19   1.3115  2.3059   168.5     5.0  15.5  19.8
    2015 09 16    22 59 39.9 -12 18 17   1.3092  2.3014   167.5     5.4  15.5  19.8
    2015 09 17    22 58 32.7 -12 13 07   1.3072  2.2968   166.5     5.9  15.5  19.9
    2015 09 18    22 57 26.0 -12 07 48   1.3055  2.2923   165.5     6.3  15.5  19.9
    2015 09 19    22 56 19.6 -12 02 19   1.3040  2.2878   164.4     6.8  15.5  19.9
    2015 09 20    22 55 13.8 -11 56 42   1.3028  2.2833   163.3     7.2  15.5  19.9
    2015 09 21    22 54 08.5 -11 50 55   1.3018  2.2788   162.2     7.7  15.4  19.9
    2015 09 22    22 53 04.0 -11 44 59   1.3011  2.2744   161.1     8.2  15.4  19.9
    2015 09 23    22 52 00.2 -11 38 54   1.3006  2.2699   160.0     8.7  15.4  19.9
    2015 09 24    22 50 57.3 -11 32 40   1.3004  2.2655   158.9     9.2  15.4  20.0
    2015 09 25    22 49 55.3 -11 26 17   1.3004  2.2611   157.8     9.7  15.4  20.0
    2015 09 26    22 48 54.3 -11 19 44   1.3007  2.2567   156.7    10.1  15.4  20.0
    2015 09 27    22 47 54.3 -11 13 03   1.3012  2.2523   155.5    10.6  15.4  20.0
    2015 09 28    22 46 55.5 -11 06 12   1.3020  2.2480   154.4    11.1  15.3  20.0
    2015 09 29    22 45 58.0 -10 59 13   1.3030  2.2437   153.3    11.6  15.3  20.0
    2015 09 30    22 45 01.7 -10 52 05   1.3042  2.2393   152.2    12.1  15.3  20.1
    2015 10 01    22 44 06.7 -10 44 48   1.3056  2.2350   151.0    12.5  15.3  20.1
    2015 10 02    22 43 13.2 -10 37 22   1.3073  2.2307   149.9    13.0  15.3  20.1
    2015 10 03    22 42 21.1 -10 29 48   1.3092  2.2265   148.8    13.5  15.3  20.1
    2015 10 04    22 41 30.5 -10 22 05   1.3113  2.2222   147.7    13.9  15.3  20.1
    2015 10 05    22 40 41.5 -10 14 14   1.3136  2.2180   146.6    14.4  15.3  20.1
    2015 10 06    22 39 54.1 -10 06 15   1.3162  2.2138   145.5    14.8  15.3  20.1
    2015 10 07    22 39 08.5 -09 58 07   1.3189  2.2096   144.4    15.3  15.3  20.2
    2015 10 08    22 38 24.5 -09 49 51   1.3219  2.2055   143.3    15.7  15.3  20.2
    2015 10 09    22 37 42.4 -09 41 27   1.3250  2.2013   142.2    16.2  15.3  20.2
    2015 10 10    22 37 02.1 -09 32 56   1.3284  2.1972   141.1    16.6  15.2  20.2
    2015 10 11    22 36 23.6 -09 24 16   1.3319  2.1931   140.0    17.0  15.2  20.2
    2015 10 12    22 35 47.1 -09 15 29   1.3357  2.1890   139.0    17.4  15.2  20.2
    2015 10 13    22 35 12.5 -09 06 35   1.3396  2.1849   137.9    17.8  15.2  20.3
    2015 10 14    22 34 39.9 -08 57 33   1.3437  2.1809   136.8    18.2  15.2  20.3
    2015 10 15    22 34 09.3 -08 48 24   1.3480  2.1769   135.8    18.6  15.2  20.3
    2015 10 16    22 33 40.7 -08 39 07   1.3524  2.1729   134.7    19.0  15.2  20.3
    2015 10 17    22 33 14.2 -08 29 44   1.3570  2.1689   133.7    19.4  15.2  20.3
    2015 10 18    22 32 49.7 -08 20 13   1.3618  2.1649   132.7    19.8  15.2  20.3
    2015 10 19    22 32 27.4 -08 10 36   1.3667  2.1610   131.6    20.2  15.2  20.4
    2015 10 20    22 32 07.1 -08 00 52   1.3718  2.1571   130.6    20.5  15.2  20.4
    2015 10 21    22 31 48.9 -07 51 02   1.3770  2.1532   129.6    20.9  15.2  20.4
    2015 10 22    22 31 32.9 -07 41 05   1.3824  2.1494   128.6    21.2  15.2  20.4
    2015 10 23    22 31 18.9 -07 31 02   1.3879  2.1455   127.6    21.5  15.2  20.4
    2015 10 24    22 31 07.1 -07 20 53   1.3935  2.1417   126.7    21.9  15.2  20.4
    2015 10 25    22 30 57.4 -07 10 38   1.3993  2.1379   125.7    22.2  15.2  20.4
    2015 10 26    22 30 49.7 -07 00 16   1.4052  2.1341   124.7    22.5  15.2  20.5
    2015 10 27    22 30 44.2 -06 49 49   1.4112  2.1304   123.8    22.8  15.2  20.5
    2015 10 28    22 30 40.8 -06 39 17   1.4173  2.1267   122.8    23.1  15.2  20.5
    2015 10 29    22 30 39.4 -06 28 38   1.4236  2.1230   121.9    23.4  15.2  20.5
    2015 10 30    22 30 40.2 -06 17 54   1.4299  2.1193   120.9    23.7  15.2  20.5
    2015 10 31    22 30 43.0 -06 07 05   1.4364  2.1157   120.0    24.0  15.2  20.5
    2015 11 01    22 30 47.8 -05 56 10   1.4430  2.1121   119.1    24.2  15.2  20.6
    2015 11 02    22 30 54.7 -05 45 10   1.4497  2.1085   118.2    24.5  15.2  20.6
    2015 11 03    22 31 03.6 -05 34 04   1.4564  2.1049   117.3    24.8  15.2  20.6
    2015 11 04    22 31 14.6 -05 22 54   1.4633  2.1014   116.4    25.0  15.2  20.6
    2015 11 05    22 31 27.6 -05 11 38   1.4703  2.0979   115.5    25.3  15.2  20.6
    2015 11 06    22 31 42.5 -05 00 17   1.4773  2.0944   114.6    25.5  15.2  20.6
    2015 11 07    22 31 59.5 -04 48 51   1.4845  2.0909   113.8    25.7  15.2  20.6
    2015 11 08    22 32 18.5 -04 37 20   1.4917  2.0875   112.9    25.9  15.2  20.6
    2015 11 09    22 32 39.3 -04 25 44   1.4990  2.0841   112.0    26.1  15.2  20.7
    2015 11 10    22 33 02.2 -04 14 03   1.5063  2.0807   111.2    26.3  15.2  20.7
    2015 11 11    22 33 26.9 -04 02 18   1.5138  2.0774   110.4    26.5  15.2  20.7
    2015 11 12    22 33 53.6 -03 50 27   1.5213  2.0740   109.5    26.7  15.2  20.7
    2015 11 13    22 34 22.1 -03 38 31   1.5288  2.0707   108.7    26.9  15.2  20.7
    2015 11 14    22 34 52.6 -03 26 31   1.5365  2.0675   107.9    27.1  15.2  20.7
    2015 11 15    22 35 24.8 -03 14 26   1.5441  2.0643   107.1    27.3  15.2  20.7
    2015 11 16    22 35 58.9 -03 02 16   1.5519  2.0610   106.3    27.4  15.2  20.8
    2015 11 17    22 36 34.7 -02 50 01   1.5597  2.0579   105.5    27.6  15.2  20.8
    2015 11 18    22 37 12.4 -02 37 42   1.5675  2.0547   104.7    27.7  15.2  20.8
    2015 11 19    22 37 51.8 -02 25 18   1.5754  2.0516   103.9    27.9  15.2  20.8
    2015 11 20    22 38 32.9 -02 12 49   1.5833  2.0485   103.2    28.0  15.2  20.8
    2015 11 21    22 39 15.7 -02 00 16   1.5913  2.0455   102.4    28.1  15.2  20.8
    2015 11 22    22 40 00.2 -01 47 39   1.5993  2.0425   101.7    28.3  15.2  20.8
    2015 11 23    22 40 46.3 -01 34 56   1.6074  2.0395   100.9    28.4  15.2  20.8
    2015 11 24    22 41 34.1 -01 22 10   1.6155  2.0365   100.2    28.5  15.2  20.8
    2015 11 25    22 42 23.4 -01 09 19   1.6236  2.0336    99.4    28.6  15.2  20.9
    2015 11 26    22 43 14.3 -00 56 23   1.6317  2.0307    98.7    28.7  15.2  20.9
    2015 11 27    22 44 06.8 -00 43 23   1.6399  2.0278    98.0    28.8  15.2  20.9
    2015 11 28    22 45 00.8 -00 30 19   1.6481  2.0250    97.3    28.9  15.2  20.9
    2015 11 29    22 45 56.3 -00 17 11   1.6563  2.0222    96.5    29.0  15.2  20.9
    2015 11 30    22 46 53.3 -00 03 58   1.6646  2.0194    95.8    29.1  15.2  20.9
    2015 12 01    22 47 51.8 +00 09 19   1.6728  2.0167    95.1    29.1  15.2  20.9
    2015 12 02    22 48 51.7 +00 22 40   1.6811  2.0140    94.5    29.2  15.2  20.9
    2015 12 03    22 49 53.0 +00 36 06   1.6894  2.0113    93.8    29.3  15.2  20.9
    2015 12 04    22 50 55.8 +00 49 35   1.6978  2.0087    93.1    29.3  15.2  20.9
    2015 12 05    22 52 00.0 +01 03 09   1.7061  2.0061    92.4    29.4  15.2  21.0
    2015 12 06    22 53 05.5 +01 16 48   1.7145  2.0035    91.8    29.4  15.2  21.0
    2015 12 07    22 54 12.4 +01 30 30   1.7229  2.0010    91.1    29.5  15.2  21.0
    2015 12 08    22 55 20.7 +01 44 16   1.7312  1.9985    90.4    29.5  15.2  21.0
    2015 12 09    22 56 30.3 +01 58 07   1.7396  1.9960    89.8    29.6  15.2  21.0
    2015 12 10    22 57 41.2 +02 12 02   1.7481  1.9936    89.1    29.6  15.2  21.0
    2015 12 11    22 58 53.3 +02 26 01   1.7565  1.9912    88.5    29.6  15.2  21.0
    2015 12 12    23 00 06.8 +02 40 03   1.7649  1.9889    87.9    29.7  15.2  21.0
    2015 12 13    23 01 21.5 +02 54 10   1.7733  1.9865    87.2    29.7  15.2  21.0
    2015 12 14    23 02 37.4 +03 08 21   1.7817  1.9843    86.6    29.7  15.2  21.0
    2015 12 15    23 03 54.6 +03 22 36   1.7902  1.9820    86.0    29.7  15.2  21.0
    2015 12 16    23 05 12.9 +03 36 55   1.7986  1.9798    85.4    29.7  15.2  21.0
    2015 12 17    23 06 32.5 +03 51 18   1.8070  1.9776    84.8    29.7  15.2  21.1
    2015 12 18    23 07 53.2 +04 05 44   1.8154  1.9755    84.2    29.7  15.2  21.1
    2015 12 19    23 09 15.0 +04 20 15   1.8239  1.9734    83.6    29.7  15.2  21.1
    2015 12 20    23 10 38.0 +04 34 49   1.8323  1.9713    83.0    29.7  15.2  21.1
    2015 12 21    23 12 02.1 +04 49 26   1.8407  1.9693    82.4    29.7  15.2  21.1
    2015 12 22    23 13 27.2 +05 04 08   1.8491  1.9673    81.8    29.7  15.2  21.1
    2015 12 23    23 14 53.5 +05 18 52   1.8575  1.9653    81.3    29.6  15.2  21.1
    2015 12 24    23 16 20.8 +05 33 41   1.8659  1.9634    80.7    29.6  15.2  21.1
    2015 12 25    23 17 49.1 +05 48 32   1.8743  1.9615    80.1    29.6  15.3  21.1
    2015 12 26    23 19 18.5 +06 03 27   1.8827  1.9597    79.6    29.6  15.3  21.1
    2015 12 27    23 20 48.9 +06 18 26   1.8911  1.9579    79.0    29.5  15.3  21.1
    2015 12 28    23 22 20.3 +06 33 27   1.8994  1.9561    78.4    29.5  15.3  21.1
    2015 12 29    23 23 52.6 +06 48 32   1.9078  1.9544    77.9    29.5  15.3  21.1
    2015 12 30    23 25 26.0 +07 03 40   1.9161  1.9527    77.3    29.4  15.3  21.1
    2015 12 31    23 27 00.4 +07 18 51   1.9245  1.9511    76.8    29.4  15.3  21.2
    2016 01 01    23 28 35.7 +07 34 04   1.9328  1.9495    76.3    29.3  15.3  21.2
    2016 01 02    23 30 12.0 +07 49 21   1.9412  1.9479    75.7    29.3  15.3  21.2
    2016 01 03    23 31 49.2 +08 04 41   1.9495  1.9464    75.2    29.2  15.3  21.2
    2016 01 04    23 33 27.4 +08 20 03   1.9578  1.9449    74.7    29.2  15.3  21.2
    2016 01 05    23 35 06.5 +08 35 28   1.9661  1.9435    74.2    29.1  15.3  21.2
    2016 01 06    23 36 46.5 +08 50 56   1.9744  1.9421    73.6    29.1  15.3  21.2
    2016 01 07    23 38 27.5 +09 06 27   1.9827  1.9407    73.1    29.0  15.3  21.2
    2016 01 08    23 40 09.3 +09 22 00   1.9909  1.9394    72.6    28.9  15.3  21.2
    2016 01 09    23 41 52.1 +09 37 35   1.9992  1.9381    72.1    28.9  15.3  21.2
    2016 01 10    23 43 35.7 +09 53 13   2.0074  1.9368    71.6    28.8  15.3  21.2
    2016 01 11    23 45 20.2 +10 08 53   2.0156  1.9356    71.1    28.7  15.3  21.2
    2016 01 12    23 47 05.6 +10 24 35   2.0239  1.9345    70.6    28.7  15.3  21.2
    2016 01 13    23 48 51.8 +10 40 20   2.0321  1.9333    70.1    28.6  15.3  21.2
    2016 01 14    23 50 38.9 +10 56 06   2.0403  1.9323    69.6    28.5  15.3  21.2
    2016 01 15    23 52 26.9 +11 11 54   2.0484  1.9312    69.2    28.4  15.3  21.2
    2016 01 16    23 54 15.6 +11 27 45   2.0566  1.9302    68.7    28.3  15.3  21.2
    2016 01 17    23 56 05.2 +11 43 36   2.0647  1.9293    68.2    28.3  15.4  21.3
    2016 01 18    23 57 55.6 +11 59 30   2.0729  1.9283    67.7    28.2  15.4  21.3
    2016 01 19    23 59 46.8 +12 15 25   2.0810  1.9275    67.3    28.1  15.4  21.3
    2016 01 20    00 01 38.8 +12 31 21   2.0891  1.9266    66.8    28.0  15.4  21.3
    2016 01 21    00 03 31.6 +12 47 19   2.0972  1.9258    66.3    27.9  15.4  21.3
    2016 01 22    00 05 25.1 +13 03 17   2.1052  1.9251    65.9    27.8  15.4  21.3
    2016 01 23    00 07 19.5 +13 19 17   2.1133  1.9244    65.4    27.7  15.4  21.3
    2016 01 24    00 09 14.6 +13 35 17   2.1214  1.9237    64.9    27.6  15.4  21.3
    2016 01 25    00 11 10.5 +13 51 19   2.1294  1.9231    64.5    27.5  15.4  21.3
    2016 01 26    00 13 07.1 +14 07 21   2.1374  1.9225    64.0    27.4  15.4  21.3
    2016 01 27    00 15 04.5 +14 23 23   2.1454  1.9220    63.6    27.3  15.4  21.3
    2016 01 28    00 17 02.7 +14 39 26   2.1534  1.9215    63.2    27.2  15.4  21.3
    2016 01 29    00 19 01.6 +14 55 29   2.1614  1.9210    62.7    27.1  15.4  21.3
    2016 01 30    00 21 01.3 +15 11 33   2.1694  1.9206    62.3    27.0  15.4  21.3
    2016 01 31    00 23 01.7 +15 27 36   2.1774  1.9202    61.8    26.9  15.4  21.3
    2016 02 01    00 25 02.9 +15 43 40   2.1853  1.9199    61.4    26.8  15.4  21.3
    2016 02 02    00 27 04.8 +15 59 43   2.1933  1.9196    61.0    26.7  15.5  21.3
    2016 02 03    00 29 07.5 +16 15 46   2.2012  1.9194    60.6    26.6  15.5  21.3
    2016 02 04    00 31 10.8 +16 31 49   2.2092  1.9192    60.1    26.4  15.5  21.3
    2016 02 05    00 33 15.0 +16 47 51   2.2171  1.9190    59.7    26.3  15.5  21.3
    2016 02 06    00 35 19.8 +17 03 53   2.2250  1.9189    59.3    26.2  15.5  21.3
    2016 02 07    00 37 25.4 +17 19 53   2.2329  1.9188    58.9    26.1  15.5  21.3
    2016 02 08    00 39 31.8 +17 35 53   2.2408  1.9188    58.5    26.0  15.5  21.4
    2016 02 09    00 41 38.8 +17 51 52   2.2487  1.9188    58.0    25.9  15.5  21.4
    2016 02 10    00 43 46.6 +18 07 50   2.2565  1.9189    57.6    25.7  15.5  21.4
    2016 02 11    00 45 55.1 +18 23 46   2.2644  1.9190    57.2    25.6  15.5  21.4
    2016 02 12    00 48 04.3 +18 39 41   2.2722  1.9191    56.8    25.5  15.5  21.4
    2016 02 13    00 50 14.2 +18 55 35   2.2800  1.9193    56.4    25.4  15.5  21.4
    2016 02 14    00 52 24.8 +19 11 26   2.2879  1.9195    56.0    25.3  15.5  21.4
    2016 02 15    00 54 36.1 +19 27 16   2.2957  1.9198    55.6    25.1  15.6  21.4
    2016 02 16    00 56 48.0 +19 43 04   2.3035  1.9201    55.2    25.0  15.6  21.4
    2016 02 17    00 59 00.7 +19 58 49   2.3113  1.9204    54.8    24.9  15.6  21.4
    2016 02 18    01 01 14.1 +20 14 32   2.3191  1.9208    54.4    24.7  15.6  21.4
    2016 02 19    01 03 28.1 +20 30 13   2.3268  1.9213    54.1    24.6  15.6  21.4
    2016 02 20    01 05 42.8 +20 45 51   2.3346  1.9218    53.7    24.5  15.6  21.4
    2016 02 21    01 07 58.2 +21 01 26   2.3424  1.9223    53.3    24.4  15.6  21.4
    2016 02 22    01 10 14.3 +21 16 58   2.3501  1.9228    52.9    24.2  15.6  21.4
    2016 02 23    01 12 31.0 +21 32 27   2.3579  1.9235    52.5    24.1  15.6  21.4
    2016 02 24    01 14 48.4 +21 47 52   2.3656  1.9241    52.1    24.0  15.6  21.4
    2016 02 25    01 17 06.5 +22 03 14   2.3734  1.9248    51.8    23.8  15.6  21.4
    2016 02 26    01 19 25.2 +22 18 33   2.3811  1.9255    51.4    23.7  15.7  21.4
    2016 02 27    01 21 44.7 +22 33 47   2.3888  1.9263    51.0    23.5  15.7  21.4
    2016 02 28    01 24 04.7 +22 48 58   2.3965  1.9271    50.6    23.4  15.7  21.4
    2016 02 29    01 26 25.5 +23 04 05   2.4043  1.9280    50.3    23.3  15.7  21.4
    2016 03 01    01 28 46.9 +23 19 08   2.4120  1.9289    49.9    23.1  15.7  21.4
    2016 03 02    01 31 09.0 +23 34 06   2.4197  1.9298    49.5    23.0  15.7  21.4
    2016 03 03    01 33 31.7 +23 48 59   2.4274  1.9308    49.2    22.9  15.7  21.4
    2016 03 04    01 35 55.1 +24 03 49   2.4351  1.9318    48.8    22.7  15.7  21.4
    2016 03 05    01 38 19.2 +24 18 33   2.4428  1.9329    48.4    22.6  15.7  21.5
    2016 03 06    01 40 43.9 +24 33 12   2.4505  1.9340    48.1    22.4  15.7  21.5
    2016 03 07    01 43 09.3 +24 47 47   2.4582  1.9351    47.7    22.3  15.8  21.5
    2016 03 08    01 45 35.3 +25 02 16   2.4659  1.9363    47.4    22.2  15.8  21.5
    2016 03 09    01 48 02.0 +25 16 39   2.4736  1.9376    47.0    22.0  15.8  21.5
    2016 03 10    01 50 29.3 +25 30 57   2.4812  1.9388    46.6    21.9  15.8  21.5
    2016 03 11    01 52 57.3 +25 45 10   2.4889  1.9401    46.3    21.7  15.8  21.5
    2016 03 12    01 55 25.9 +25 59 17   2.4966  1.9415    45.9    21.6  15.8  21.5
    2016 03 13    01 57 55.1 +26 13 17   2.5042  1.9429    45.6    21.4  15.8  21.5
    2016 03 14    02 00 24.9 +26 27 12   2.5119  1.9443    45.2    21.3  15.8  21.5
    2016 03 15    02 02 55.4 +26 41 00   2.5196  1.9458    44.9    21.1  15.8  21.5
    2016 03 16    02 05 26.4 +26 54 41   2.5272  1.9473    44.5    21.0  15.9  21.5
    2016 03 17    02 07 58.0 +27 08 16   2.5349  1.9489    44.2    20.8  15.9  21.5
    2016 03 18    02 10 30.3 +27 21 44   2.5425  1.9504    43.8    20.7  15.9  21.5
    2016 03 19    02 13 03.1 +27 35 05   2.5501  1.9521    43.5    20.5  15.9  21.5
    2016 03 20    02 15 36.5 +27 48 19   2.5578  1.9537    43.1    20.4  15.9  21.5
    2016 03 21    02 18 10.5 +28 01 26   2.5654  1.9554    42.8    20.3  15.9  21.5
    2016 03 22    02 20 45.1 +28 14 25   2.5730  1.9572    42.5    20.1  15.9  21.5
    2016 03 23    02 23 20.3 +28 27 17   2.5807  1.9590    42.1    20.0  15.9  21.5
    2016 03 24    02 25 56.0 +28 40 01   2.5883  1.9608    41.8    19.8  16.0  21.5
    2016 03 25    02 28 32.2 +28 52 37   2.5959  1.9627    41.4    19.7  16.0  21.5
    2016 03 26    02 31 09.1 +29 05 05   2.6036  1.9646    41.1    19.5  16.0  21.5
    2016 03 27    02 33 46.5 +29 17 25   2.6112  1.9665    40.8    19.3  16.0  21.5
    2016 03 28    02 36 24.4 +29 29 36   2.6188  1.9685    40.4    19.2  16.0  21.5
    2016 03 29    02 39 02.9 +29 41 39   2.6264  1.9705    40.1    19.0  16.0  21.5
    2016 03 30    02 41 41.9 +29 53 34   2.6340  1.9725    39.8    18.9  16.0  21.5
    2016 03 31    02 44 21.4 +30 05 20   2.6417  1.9746    39.4    18.7  16.0  21.5
    2016 04 01    02 47 01.5 +30 16 57   2.6493  1.9768    39.1    18.6  16.1  21.5
    2016 04 02    02 49 42.1 +30 28 25   2.6569  1.9789    38.8    18.4  16.1  21.6
    2016 04 03    02 52 23.2 +30 39 44   2.6645  1.9811    38.4    18.3  16.1  21.6
    2016 04 04    02 55 04.7 +30 50 54   2.6721  1.9833    38.1    18.1  16.1  21.6
    2016 04 05    02 57 46.8 +31 01 55   2.6797  1.9856    37.8    18.0  16.1  21.6
    2016 04 06    03 00 29.4 +31 12 47   2.6873  1.9879    37.4    17.8  16.1  21.6
    2016 04 07    03 03 12.4 +31 23 28   2.6949  1.9903    37.1    17.7  16.1  21.6
    2016 04 08    03 05 55.9 +31 34 01   2.7025  1.9926    36.8    17.5  16.2  21.6
    2016 04 09    03 08 39.9 +31 44 23   2.7101  1.9951    36.4    17.4  16.2  21.6
    2016 04 10    03 11 24.3 +31 54 36   2.7176  1.9975    36.1    17.2  16.2  21.6
    2016 04 11    03 14 09.1 +32 04 39   2.7252  2.0000    35.8    17.0  16.2  21.6
    2016 04 12    03 16 54.3 +32 14 31   2.7328  2.0025    35.5    16.9  16.2  21.6
    2016 04 13    03 19 40.0 +32 24 14   2.7403  2.0051    35.1    16.7  16.2  21.6
    2016 04 14    03 22 26.0 +32 33 46   2.7479  2.0076    34.8    16.6  16.2  21.6
    2016 04 15    03 25 12.4 +32 43 08   2.7554  2.0103    34.5    16.4  16.2  21.6
    2016 04 16    03 27 59.1 +32 52 19   2.7629  2.0129    34.2    16.3  16.3  21.6
    2016 04 17    03 30 46.2 +33 01 20   2.7705  2.0156    33.8    16.1  16.3  21.6
    2016 04 18    03 33 33.6 +33 10 10   2.7780  2.0183    33.5    15.9  16.3  21.6
    2016 04 19    03 36 21.4 +33 18 49   2.7855  2.0211    33.2    15.8  16.3  21.6
    2016 04 20    03 39 09.5 +33 27 18   2.7930  2.0239    32.9    15.6  16.3  21.6
    2016 04 21    03 41 57.8 +33 35 35   2.8005  2.0267    32.5    15.5  16.3  21.6
    2016 04 22    03 44 46.5 +33 43 42   2.8080  2.0295    32.2    15.3  16.4  21.6
    2016 04 23    03 47 35.4 +33 51 37   2.8155  2.0324    31.9    15.2  16.4  21.6
    2016 04 24    03 50 24.7 +33 59 21   2.8229  2.0353    31.6    15.0  16.4  21.6
    2016 04 25    03 53 14.1 +34 06 54   2.8304  2.0383    31.2    14.8  16.4  21.6
    2016 04 26    03 56 03.8 +34 14 16   2.8379  2.0412    30.9    14.7  16.4  21.6
    2016 04 27    03 58 53.7 +34 21 26   2.8453  2.0443    30.6    14.5  16.4  21.6
    2016 04 28    04 01 43.9 +34 28 25   2.8528  2.0473    30.3    14.4  16.4  21.6
    2016 04 29    04 04 34.2 +34 35 13   2.8602  2.0504    30.0    14.2  16.5  21.6
    2016 04 30    04 07 24.8 +34 41 49   2.8676  2.0535    29.6    14.0  16.5  21.6
    2016 05 01    04 10 15.5 +34 48 14   2.8750  2.0566    29.3    13.9  16.5  21.7
    2016 05 02    04 13 06.3 +34 54 27   2.8824  2.0598    29.0    13.7  16.5  21.7
    2016 05 03    04 15 57.3 +35 00 29   2.8898  2.0629    28.7    13.6  16.5  21.7
    2016 05 04    04 18 48.5 +35 06 19   2.8971  2.0662    28.4    13.4  16.5  21.7
    2016 05 05    04 21 39.7 +35 11 57   2.9045  2.0694    28.1    13.3  16.6  21.7
    2016 05 06    04 24 31.0 +35 17 24   2.9118  2.0727    27.7    13.1  16.6  21.7
    2016 05 07    04 27 22.5 +35 22 40   2.9191  2.0760    27.4    12.9  16.6  21.7
    2016 05 08    04 30 13.9 +35 27 43   2.9264  2.0793    27.1    12.8  16.6  21.7
    2016 05 09    04 33 05.5 +35 32 35   2.9337  2.0827    26.8    12.6  16.6  21.7
    2016 05 10    04 35 57.0 +35 37 16   2.9409  2.0861    26.5    12.5  16.6  21.7
    2016 05 11    04 38 48.5 +35 41 45   2.9482  2.0895    26.2    12.3  16.6  21.7
    2016 05 12    04 41 40.1 +35 46 02   2.9554  2.0930    25.8    12.1  16.7  21.7
    2016 05 13    04 44 31.6 +35 50 07   2.9626  2.0964    25.5    12.0  16.7  21.7
    2016 05 14    04 47 23.0 +35 54 01   2.9698  2.0999    25.2    11.8  16.7  21.7
    2016 05 15    04 50 14.4 +35 57 43   2.9769  2.1035    24.9    11.7  16.7  21.7
    2016 05 16    04 53 05.7 +36 01 13   2.9840  2.1070    24.6    11.5  16.7  21.7
    2016 05 17    04 55 56.9 +36 04 32   2.9911  2.1106    24.3    11.4  16.7  21.7
    2016 05 18    04 58 48.0 +36 07 39   2.9982  2.1142    24.0    11.2  16.8  21.7
    2016 05 19    05 01 39.0 +36 10 34   3.0053  2.1178    23.7    11.1  16.8  21.7
    2016 05 20    05 04 29.8 +36 13 18   3.0123  2.1215    23.3    10.9  16.8  21.7
    2016 05 21    05 07 20.4 +36 15 51   3.0193  2.1252    23.0    10.7  16.8  21.7
    2016 05 22    05 10 10.9 +36 18 12   3.0263  2.1289    22.7    10.6  16.8  21.7
    2016 05 23    05 13 01.2 +36 20 21   3.0333  2.1326    22.4    10.4  16.8  21.7
    2016 05 24    05 15 51.3 +36 22 19   3.0402  2.1364    22.1    10.3  16.9  21.7
    2016 05 25    05 18 41.2 +36 24 06   3.0471  2.1401    21.8    10.1  16.9  21.7
    2016 05 26    05 21 30.8 +36 25 41   3.0540  2.1439    21.5    10.0  16.9  21.7
    2016 05 27    05 24 20.2 +36 27 06   3.0608  2.1478    21.2     9.8  16.9  21.7
    2016 05 28    05 27 09.3 +36 28 19   3.0676  2.1516    20.9     9.7  16.9  21.7
    2016 05 29    05 29 58.2 +36 29 20   3.0744  2.1555    20.6     9.5  16.9  21.7
    2016 05 30    05 32 46.7 +36 30 11   3.0812  2.1594    20.3     9.4  17.0  21.7
    2016 05 31    05 35 35.0 +36 30 51   3.0879  2.1633    20.0     9.2  17.0  21.7
    2016 06 01    05 38 22.9 +36 31 20   3.0946  2.1673    19.7     9.1  17.0  21.7
    2016 06 02    05 41 10.6 +36 31 38   3.1012  2.1712    19.4     8.9  17.0  21.7
    2016 06 03    05 43 57.8 +36 31 46   3.1078  2.1752    19.2     8.8  17.0  21.7
    2016 06 04    05 46 44.7 +36 31 42   3.1144  2.1792    18.9     8.7  17.0  21.8
    2016 06 05    05 49 31.3 +36 31 29   3.1209  2.1833    18.6     8.5  17.1  21.8
    2016 06 06    05 52 17.4 +36 31 04   3.1274  2.1873    18.3     8.4  17.1  21.8
    2016 06 07    05 55 03.1 +36 30 30   3.1339  2.1914    18.0     8.2  17.1  21.8
    2016 06 08    05 57 48.4 +36 29 45   3.1403  2.1955    17.8     8.1  17.1  21.8
    2016 06 09    06 00 33.3 +36 28 50   3.1467  2.1996    17.5     8.0  17.1  21.8
    2016 06 10    06 03 17.7 +36 27 44   3.1530  2.2037    17.2     7.8  17.1  21.8
    2016 06 11    06 06 01.6 +36 26 29   3.1593  2.2079    16.9     7.7  17.2  21.8
    2016 06 12    06 08 45.1 +36 25 04   3.1655  2.2121    16.7     7.6  17.2  21.8
    2016 06 13    06 11 28.0 +36 23 29   3.1717  2.2163    16.4     7.4  17.2  21.8
    2016 06 14    06 14 10.5 +36 21 44   3.1778  2.2205    16.2     7.3  17.2  21.8
    2016 06 15    06 16 52.5 +36 19 49   3.1839  2.2247    15.9     7.2  17.2  21.8
    2016 06 16    06 19 33.9 +36 17 45   3.1900  2.2290    15.7     7.1  17.2  21.8
    2016 06 17    06 22 14.8 +36 15 32   3.1959  2.2333    15.5     7.0  17.3  21.8
    2016 06 18    06 24 55.1 +36 13 09   3.2019  2.2375    15.2     6.9  17.3  21.8
    2016 06 19    06 27 34.9 +36 10 37   3.2078  2.2419    15.0     6.7  17.3  21.8
    2016 06 20    06 30 14.1 +36 07 56   3.2136  2.2462    14.8     6.6  17.3  21.8
    2016 06 21    06 32 52.8 +36 05 06   3.2194  2.2505    14.6     6.5  17.3  21.8
    2016 06 22    06 35 30.8 +36 02 07   3.2252  2.2549    14.4     6.4  17.3  21.8
    2016 06 23    06 38 08.3 +35 59 00   3.2309  2.2593    14.2     6.3  17.4  21.8
    2016 06 24    06 40 45.2 +35 55 43   3.2365  2.2637    14.0     6.2  17.4  21.8
    2016 06 25    06 43 21.5 +35 52 18   3.2421  2.2681    13.8     6.1  17.4  21.8
    2016 06 26    06 45 57.2 +35 48 45   3.2476  2.2725    13.7     6.1  17.4  21.8
    2016 06 27    06 48 32.3 +35 45 04   3.2531  2.2770    13.5     6.0  17.4  21.8
    2016 06 28    06 51 06.7 +35 41 14   3.2585  2.2814    13.4     5.9  17.4  21.8
    2016 06 29    06 53 40.6 +35 37 16   3.2638  2.2859    13.2     5.8  17.5  21.8
    2016 06 30    06 56 13.8 +35 33 11   3.2691  2.2904    13.1     5.8  17.5  21.8
    2016 07 01    06 58 46.3 +35 28 58   3.2743  2.2949    13.0     5.7  17.5  21.8