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Comet Hale-Bopp Orbit and Ephemeris Information

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This chart is a ray-traced image of the orbit planes of Earth and Comet Hale-Bopp and their positions from March to May 1997. Courtesy of Eric Frappa from the Saint-Etienne Planetarium in France.

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Orbit and Ephemeris Information for Comet 1995 O1 Hale-Bopp

Don Yeomans - JPL
November 8, 1996

Additional observations through Oct. 28, 1996 have been used to update the orbit, ephemeris, and error analysis.


 Object: Comet C/1995 O1 (Hale-Bopp)
 JPL Ref. Solution: 45
 Planetary Ephemeris: DE403
 No. Observations:  1444
 Observation Arc:  1993 Apr 27 - 1996 Oct 28

 ---- Residual Summary ----       RA        Dec      Total
 Mean                             .010      .011      .015
 RMS, unweighted                  .674      .867      .776

 ---- Corrected Elements (J2000):  Solution 45
 Epoch  2450520.50000 = 1997 Mar 13.00000
                        Post-Fit Std.Dev.
e     0.995095916       .000001646
q     0.914101515       .000002361
Tp    2450539.6346497   .0004084    1997 Apr  1.13465
Node  282.4706903       .0000059
w     130.5909135       .0001366
i      89.4294098       .0000462


ORBITAL ELEMENTS FOR COMET HALE-BOPP (1995 O1)
The following (J2000) osculating orbital elements can be used to
generate ephemeris data using two body programs.  However, care must
be taken to select an orbital element set with an epoch close to
the desired ephemeris output times.


Epoch (TDB)        e         q        Node        w          i              Tp

 ---- Elements at other epochs:
Epoch (TDB)      e         q      Node         w          i          Tp
1996 Oct  1.0  .9952307 .9143046 282.472419 130.575162  89.432510  1997 Apr  1.124093
1997 Jan 12.0  .9950918 .9141138 282.470878 130.589797  89.429555  1997 Apr  1.134271
1997 Mar 13.0  .9950959 .9141015 282.470690 130.590914  89.429410  1997 Apr  1.134650
1997 May  2.0  .9951088 .9141013 282.470806 130.591009  89.429283  1997 Apr  1.134718
1997 Sep 30.0  .9950814 .9140210 282.469240 130.585871  89.427986  1997 Apr  1.133652

e:      Eccentricity
q:      Perihelion passage distance (AU)
Node:   Longitude of the ascending node (deg.)
w:      Argument of perihelion (deg.)
i:      Inclination (deg.)
Tp:     Perihelion passage time (TDB)


Original and Future Orbital periods
By integrating the above orbit forward and backward in time until the comet
leaves the planetary system and then referring the osculating orbital elements
to the solar system barycenter, the following orbital periods result:

Original orbital period before entering planetary system = 4200 years
Future orbital period after exiting planetary system     = 2379 years



Ephemeris data at 5 day steps (O hours UTC)

Ephemeris computed using JPL orbital solution No. 45 dated Nov. 8, 1996
Magnitude predictions are based upon estimates by Charles Morris.


Absolute (inertial) plane-of-sky ephemeris uncertainties (1-sigma)
over this interval are as follows:

   1996 Aug. - Sep.    < 1"
   1997 Jan. - Feb.    < 3"
   1997 Mar.           < 6"
   1997 Apr.           < 3"


Ephemeris (with perturbations) for Comet C/1995 O1 (Hale-Bopp)

 Date (UT)       R.A. J2000  Dec.     Delta Deldot    r   Theta Beta Moon PsAng PsAMV TMag
1996 Nov  4  17 41 39.15 -03 07 13.2  3.049  -2.38  2.479  46.9  17.0 125  71.7 153.0  5.0
1996 Nov  9  17 45 02.02 -02 45 14.5  3.039  -4.35  2.418  43.4  16.4  67  68.1 153.7  4.9
1996 Nov 14  17 48 46.97 -02 20 59.5  3.024  -6.41  2.356  40.2  15.7  16  64.1 154.7  4.9
1996 Nov 19  17 52 53.15 -01 54 07.9  3.002  -8.53  2.294  37.2  15.1  72  59.5 155.7  4.8
1996 Nov 24  17 57 19.89 -01 24 18.4  2.975 -10.67  2.232  34.5  14.5 136  54.2 157.0  4.7
1996 Nov 29  18 02 06.87 -00 51 09.0  2.941 -12.83  2.170  32.1  14.0 153  48.3 158.5  4.6
1996 Dec  4  18 07 14.12 -00 14 14.8  2.900 -15.00  2.107  30.1  13.6 101  41.7 160.2  4.5
1996 Dec  9  18 12 41.82 +00 26 52.2  2.854 -17.18  2.044  28.6  13.3  42  34.4 162.1  4.4
1996 Dec 14  18 18 30.29 +01 12 43.1  2.801 -19.33  1.981  27.5  13.3  37  26.6 164.3  4.3
1996 Dec 19  18 24 40.01 +02 03 51.6  2.742 -21.44  1.918  26.9  13.4 100  18.4 166.7  4.1
1996 Dec 24  18 31 11.95 +03 00 54.6  2.677 -23.48  1.854  26.9  13.9 154  10.3 169.4  4.0
1996 Dec 29  18 38 07.78 +04 04 33.7  2.607 -25.43  1.791  27.3  14.6 133   2.5 172.4  3.9
1997 Jan  3  18 45 29.83 +05 15 37.5  2.531 -27.27  1.728  28.2  15.6  80 355.3 175.7  3.7
1997 Jan  8  18 53 21.05 +06 35 01.5  2.449 -29.00  1.664  29.4  16.9  28 348.8 179.3  3.6
1997 Jan 13  19 01 45.16 +08 03 48.8  2.363 -30.56  1.602  30.9  18.4  62 343.0 183.2  3.4
1997 Jan 18  19 10 47.06 +09 43 08.8  2.273 -31.90  1.539  32.6  20.2 120 338.2 187.4  3.2
1997 Jan 23  19 20 33.52 +11 34 18.0  2.179 -32.99  1.477  34.5  22.2 151 334.1 191.8  3.0
1997 Jan 28  19 31 13.72 +13 38 41.5  2.083 -33.77  1.416  36.4  24.4 116 330.7 196.4  2.8
1997 Feb  2  19 42 59.77 +15 57 50.2  1.985 -34.18  1.356  38.3  26.7  67 328.2 201.2  2.6
1997 Feb  7  19 56 07.67 +18 33 13.9  1.886 -34.15  1.297  40.1  29.3  35 326.4 206.2  2.4
1997 Feb 12  20 10 58.52 +21 26 05.8  1.788 -33.55  1.240  41.8  32.0  78 325.3 211.3  2.2
1997 Feb 17  20 28 00.63 +24 36 55.7  1.693 -32.26  1.186  43.3  34.8 123 325.2 216.7  1.9
1997 Feb 22  20 47 51.89 +28 04 48.7  1.602 -30.16  1.134  44.5  37.7 139 326.1 222.4  1.7
1997 Feb 27  21 11 21.26 +31 46 19.1  1.519 -27.11  1.086  45.5  40.6 112 328.3 228.6  1.5
1997 Mar  4  21 39 27.91 +35 33 52.8  1.447 -23.03  1.042  46.0  43.3  72 331.9 235.6  1.3
1997 Mar  9  22 13 13.18 +39 13 57.4  1.387 -17.88  1.003  46.2  45.7  45 337.5 243.7  1.1
1997 Mar 14  22 53 17.66 +42 26 04.1  1.344 -11.76   .970  46.0  47.6  69 345.1 253.0   .9
1997 Mar 19  23 39 19.10 +44 44 57.1  1.320  -4.96   .944  45.5  48.8 104 354.7 263.7   .8
1997 Mar 24  00 29 09.60 +45 47 56.9  1.316   2.11   .926  44.6  49.1 134   5.9 275.4   .8
1997 Mar 29  01 19 06.28 +45 25 14.6  1.332   8.92   .916  43.4  48.5 134  17.7 287.1   .8
1997 Apr  3  02 05 21.72 +43 44 59.6  1.367  15.01   .915  42.0  47.0  91  29.1 298.2   .8
1997 Apr  8  02 45 39.09 +41 08 12.0  1.418  20.06   .922  40.4  44.7  37  39.6 308.0   .9
1997 Apr 13  03 19 29.99 +37 58 32.5  1.482  23.94   .938  38.7  41.9  43  48.9 316.4  1.1
1997 Apr 18  03 47 33.79 +34 35 16.7  1.555  26.71   .962  36.8  38.7  92  57.2 323.5  1.2
1997 Apr 23  04 10 53.59 +31 11 16.6  1.635  28.50   .994  34.9  35.4 146  64.8 329.5  1.4
1997 Apr 28  04 30 31.36 +27 53 54.8  1.719  29.47  1.031  32.9  32.1 148  71.9 334.6  1.6
1997 May  3  04 47 18.89 +24 46 44.5  1.804  29.77  1.074  31.0  28.9  82  78.9 339.0  1.8
1997 May  8  05 01 56.33 +21 50 56.1  1.890  29.56  1.121  29.1  25.9  15  85.9 342.8  2.0
1997 May 13  05 14 53.66 +19 06 19.0  1.975  28.97  1.172  27.3  23.3  47  93.2 346.0  2.2
1997 May 18  05 26 33.20 +16 32 00.9  2.057  28.12  1.226  25.6  20.9 104 100.8 348.9  2.4
1997 May 23  05 37 11.70 +14 06 52.4  2.137  27.08  1.282  24.2  18.9 165 108.9 351.4  2.6
1997 May 28  05 47 01.85 +11 49 39.6  2.214  25.90  1.340  23.0  17.2 127 117.5 353.7  2.8
1997 Jun  2  05 56 13.25 +09 39 09.5  2.287  24.62  1.400  22.1  15.8  60 126.7 355.6  3.0
1997 Jun  7  06 04 52.95 +07 34 13.5  2.356  23.28  1.461  21.6  14.8  12 136.2 357.4  3.2
1997 Jun 12  06 13 06.06 +05 33 49.0  2.421  21.91  1.523  21.6  14.2  65 145.9 359.0  3.3
1997 Jun 17  06 20 56.46 +03 37 01.1  2.482  20.54  1.585  21.9  13.8 122 155.4    .4  3.5
1997 Jun 22  06 28 27.23 +01 43 01.4  2.540  19.19  1.648  22.6  13.7 161 164.6   1.7  3.6
1997 Jun 27  06 35 40.88 -00 08 52.9  2.593  17.86  1.711  23.7  13.8 100 173.1   2.9  3.7
1997 Jul  2  06 42 39.27 -01 59 20.4  2.643  16.55  1.775  25.0  14.0  39 180.9   3.9  3.9
1997 Jul  7  06 49 23.57 -03 48 55.4  2.689  15.28  1.838  26.7  14.4  34 188.0   4.9  4.0
1997 Jul 12  06 55 54.49 -05 38 07.0  2.731  14.07  1.901  28.6  14.8  85 194.4   5.8  4.1
1997 Jul 17  07 02 12.53 -07 27 19.5  2.770  12.93  1.965  30.6  15.3 139 200.2   6.6  4.2
1997 Jul 22  07 08 18.09 -09 16 53.9  2.806  11.86  2.028  32.8  15.7 136 205.4   7.4  4.3
1997 Jul 27  07 14 11.51 -11 07 08.9  2.839  10.86  2.091  35.1  16.2  75 210.2   8.1  4.4
1997 Aug  1  07 19 52.77 -12 58 22.0  2.869   9.92  2.153  37.5  16.7  32 214.6   8.8  4.5
1997 Aug  6  07 25 21.44 -14 50 47.1  2.896   9.05  2.216  39.9  17.1  56 218.7   9.4  4.6
1997 Aug 11  07 30 36.98 -16 44 34.1  2.921   8.29  2.278  42.4  17.5 104 222.5  10.0  4.7
1997 Aug 16  07 35 38.75 -18 39 49.7  2.944   7.62  2.340  45.0  17.8 144 226.1  10.6  4.8
1997 Aug 21  07 40 26.17 -20 36 38.4  2.965   7.05  2.402  47.6  18.1 110 229.6  11.1  4.9
1997 Aug 26  07 44 58.50 -22 35 04.3  2.985   6.56  2.463  50.2  18.4  58 232.9  11.6  4.9
1997 Aug 31  07 49 14.60 -24 35 09.3  3.003   6.16  2.524  52.8  18.6  43 236.2  12.1  5.0
1997 Sep  5  07 53 13.01 -26 36 50.9  3.020   5.87  2.585  55.4  18.7  76 239.5  12.6  5.1
1997 Sep 10  07 56 52.12 -28 40 02.4  3.037   5.69  2.645  58.0  18.8 118 242.7  13.1  5.1
1997 Sep 15  08 00 10.26 -30 44 33.7  3.053   5.62  2.705  60.6  18.9 130 246.0  13.6  5.2
1997 Sep 20  08 03 05.65 -32 50 12.8  3.070   5.64  2.765  63.1  18.9  88 249.3  14.0  5.3
1997 Sep 25  08 05 36.17 -34 56 46.7  3.086   5.76  2.824  65.6  18.9  54 252.7  14.5  5.3
1997 Sep 30  08 07 39.08 -37 03 57.7  3.103   5.98  2.883  68.1  18.8  61 256.2  15.0  5.4
1997 Oct  5  08 09 11.31 -39 11 22.5  3.121   6.30  2.942  70.5  18.7  93 259.8  15.5  5.5
1997 Oct 10  08 10 09.53 -41 18 32.3  3.139   6.71  3.001  72.8  18.5 121 263.6  16.0  5.5
1997 Oct 15  08 10 30.24 -43 24 54.7  3.159   7.22  3.059  75.1  18.4 110 267.6  16.5  5.6
1997 Oct 20  08 10 09.62 -45 29 55.5  3.181   7.80  3.116  77.2  18.2  75 271.8  17.0  5.6
1997 Oct 25  08 09 03.22 -47 32 57.0  3.205   8.45  3.174  79.3  17.9  62 276.2  17.5  5.7
1997 Oct 30  08 07 06.03 -49 33 14.7  3.230   9.17  3.231  81.2  17.7  78 280.9  18.0  5.8
1997 Nov  4  08 04 12.92 -51 29 57.3  3.258   9.95  3.288  83.0  17.4 103 285.9  18.5  5.8
1997 Nov  9  08 00 18.92 -53 22 08.8  3.288  10.79  3.344  84.7  17.2 111 291.2  19.0  5.9
1997 Nov 14  07 55 19.56 -55 08 50.7  3.320  11.65  3.401  86.2  16.9  92 296.8  19.4  6.0
1997 Nov 19  07 49 10.90 -56 49 03.9  3.355  12.54  3.456  87.5  16.6  74 302.8  19.7  6.0
1997 Nov 24  07 41 49.90 -58 21 45.8  3.392  13.45  3.512  88.7  16.3  77 309.2  19.9  6.1
1997 Nov 29  07 33 15.46 -59 45 50.8  3.433  14.36  3.567  89.8  16.1  92 316.0  19.9  6.1
1997 Dec  4  07 23 29.60 -61 00 14.5  3.475  15.27  3.622  90.6  15.8 102 323.1  19.6  6.2
1997 Dec  9  07 12 38.23 -62 03 59.8  3.521  16.17  3.677  91.3  15.5  96 330.5  19.0  6.3
1997 Dec 14  07 00 51.40 -62 56 23.0  3.569  17.03  3.732  91.8  15.3  83 338.2  18.0  6.3
1997 Dec 19  06 48 22.85 -63 36 55.1  3.619  17.87  3.786  92.2  15.1  83 346.1  16.5  6.4
1997 Dec 24  06 35 29.70 -64 05 22.8  3.672  18.66  3.840  92.3  14.8  91 354.1  14.7  6.5
1997 Dec 29  06 22 31.64 -64 21 52.3  3.727  19.41  3.894  92.4  14.6  97   2.2  12.6  6.5
1998 Jan  3  06 09 49.14 -64 26 51.7  3.784  20.11  3.947  92.3  14.4  92  10.2  10.3  6.6
1998 Jan  8  05 57 41.32 -64 21 11.0  3.843  20.75  4.000  92.0  14.2  83  18.1   8.0  6.7
1998 Jan 13  05 46 23.77 -64 05 56.7  3.904  21.32  4.053  91.7  14.0  85  25.7   5.9  6.7
1998 Jan 18  05 36 07.81 -63 42 22.7  3.966  21.83  4.106  91.2  13.9  94  33.2   4.1  6.8




R.A. J2000  Dec. = Geocentric astrometric right ascension and declination
                   referred to the mean equator and equinox of J2000.
                   Light time corrections have been applied

Delta            = Geocentric distance of object in AU

Deldot           = Geocentric radial velocity of object in km/s

r                = Heliocentric distance of object in AU

Theta            = Sun-Earth-Object angle in degrees

Beta             = Sun-Object-Earth angle in degrees

Moon             = Moon-Earth-Object angle in degrees

PsAng            = Position angle of extended radius vector in degrees
                   This will be the approximate position angle of an ion tail

PsAMV            = Position angle of minus velocity vector in degrees.
                   A dust tail will have an approximate position angle
                   located between the position angles defined by PsAng and PsAMV.

TMag             = Total magnitude
                 = 0.4 + 5.00*log(Delta) +  5.6*log(r)



 
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