Objects In This Ephemeris -------------------------------------------------------- Name Id-code ------------- ------- CORDELIA..............706 OPHELIA...............707 BIANCA................708 CRESSIDA..............709 DESDEMONA.............710 JULIET................711 PORTIA................712 ROSALIND..............713 BELINDA...............714 PUCK..................715 Approximate Time Coverage From: 1998 JAN 01 00:00:00.000 To : 2010 JAN 01 00:00:00.000 Status -------------------------------------------------------- This is the current best estimate for the position of the minor satellites of Uranus as of 3-Dec-1998. Currently, no formal updates to this ephemeris are planned. However, if you need a more recent ephemeris and have reason to believe that observations following the creation date of this ephemeris may significantly improve the positional knowledge for any of these objects, we recommend that you contact NAIF and to the extent that resources are available we will attempt to provide an update to this ephemeris. Production/History of this Ephemeris -------------------------------------------------------- This ephemeris was produced by Bill Taber of the Navigation Ancillary Information Facility (NAIF) at the Jet Propulsion Laboratory on 1-Dec-1998 for use by the Space Telescope Science Institute. It was transformed to SPK format from a equinoctial elements provided by Bob Jacobson of the Solar Systems Dynamics group of the Astrodynamics and Navigation section (section 312) of the Jet Propulsion Laboratory. The Release Form for the ephemeris description of these satellites is included as an appendix at the end of this note. Usage -------------------------------------------------------- To determine the state of these satellites with respect to any object other than the Uranus barycenter, you need at a minimum a planetary ephemeris. It is recommended that you use JPL developmental ephemers 403 (DE403) or later when computing states of these satellites with respect to anything other than the Uranus Barycenter. DE403 is available via anonymous ftp on NAIF's ftp server: naif-sun (ip address 128.149.126.11) in the directory pub/naif/generic_kernels/spk. Both binary and transfer format ephemerides are available. They are in the files. de403s.bsp ( binary format ) de403s.xsp ( transfer format ) de403s.cmt ( comments about de403s ) In addition, if you need to plan observations of these satellites relative to Uranus, you will need a satellite ephemeris that includes Uranus relative to the Uranus Barycenter. The following ephemerides is suitable for this purpose (available in the same location as de403s.bsp) ura027-2.bsp ( binary format ) ura027-2.xsp ( transfer format ) Accuracy -------------------------------------------------------- The uncertainty in the positions of the satellites of this ephemeris are given in the table below: 1-Sigma Orbital Uncertainties Radial Downtrack Normal Orbital Period Satellite (km) (km) (km) (seconds) ------------------------------------------------------ Cordelia 50 14500 200 0.15 Ophelia 500 75000 250 0.9 Bianca 30 410 230 0.0060 Cressida 25 220 150 0.0035 Desdemona 25 220 150 0.0035 Juliet 20 185 150 0.0030 Portia 25 175 150 0.0030 Rosalind 25 260 180 0.0050 Belinda 20 220 150 0.0050 Puck 20 200 120 0.0050 References -------------------------------------------------------- R.A. Jacobson, "The orbits of the Inner Uranian Satellites From Hubble Space Telescope and Voyager 2 Observations." The Astronomical Journal, March 1998 Volume 115, No. 3 pp 1195-1199 Inquiries If you have any questions regarding this ephemeris contact Bill Taber btaber@spice.jpl.nasa.gov Phone (818) 354-4279 FAX (818) 393-6388 JPL MS 301/125L 4800 Oak Grove Drive Pasadena, CA 91109 Appendix --- Rock Element Release Form =========================================================================== Rock Element File: rckin.ura039.txt File location: murphy:/home6/raj/Satellite/Uranus/Rocks/Data/rckin.ura039.txt Equinox Reference Julian Date: 2451545.00 Bodies on the File: Name Number GM AX BX CX Cordel 706 0.000000000000000E+00 20.000 0.000 0.000 Opheli 707 0.000000000000000E+00 25.000 0.000 0.000 Bianca 708 0.000000000000000E+00 30.000 0.000 0.000 Cressi 709 0.000000000000000E+00 30.000 0.000 0.000 Desdem 710 0.000000000000000E+00 30.000 0.000 0.000 Juliet 711 0.000000000000000E+00 40.000 0.000 0.000 Portia 712 0.000000000000000E+00 55.000 0.000 0.000 Rosali 713 0.000000000000000E+00 30.000 0.000 0.000 Belind 714 0.000000000000000E+00 37.500 0.000 0.000 Puck 715 0.000000000000000E+00 81.000 0.000 0.000 Elements for Cordel at Julian Date: 2446450.0 Semi-major axis 49751.72200000000 km h = esin(omega+node) 2.196155257809854E-05 k = ecos(omega+node) -2.616109646458082E-04 mean longitude 70.00654224200319 deg p = tan(i/2)sin(node) 4.593675494284073E-04 q = tan(i/2)cos(node) 5.801117535036105E-04 apsidal rate 1.739356380560684E-05 deg/sec mean longitude rate 1.243655458532564E-02 deg/sec nodal rate -1.736934732358518E-05 deg/sec Reference plane pole RTA 77.31126999999999 deg Reference plane pole DEC 15.17520000000000 deg Elements for Opheli at Julian Date: 2446450.0 Semi-major axis 53763.39000000000 km h = esin(omega+node) -3.133200269914386E-04 k = ecos(omega+node) -9.916862471808582E-03 mean longitude 298.0683571691387 deg p = tan(i/2)sin(node) 2.485085980620679E-04 q = tan(i/2)cos(node) -8.694254731571202E-04 apsidal rate 1.325233191309423E-05 deg/sec mean longitude rate 1.106977237274373E-02 deg/sec nodal rate -1.323657157523269E-05 deg/sec Reference plane pole RTA 77.31126999999999 deg Reference plane pole DEC 15.17520000000000 deg Elements for Bianca at Julian Date: 2446450.0 Semi-major axis 59165.55000000000 km h = esin(omega+node) 8.971748009891265E-04 k = ecos(omega+node) -1.827531842136253E-04 mean longitude 239.9991076795366 deg p = tan(i/2)sin(node) 1.682254477338740E-03 q = tan(i/2)cos(node) -9.465466268162635E-05 apsidal rate 9.471202896165893E-06 deg/sec mean longitude rate 9.587823618966998E-03 deg/sec nodal rate -9.462032392641446E-06 deg/sec Reference plane pole RTA 77.31126999999999 deg Reference plane pole DEC 15.17520000000000 deg Elements for Cressi at Julian Date: 2446450.0 Semi-major axis 61766.73000000000 km h = esin(omega+node) 2.135521241345163E-04 k = ecos(omega+node) -2.900698938540351E-04 mean longitude 17.43441300043773 deg p = tan(i/2)sin(node) 4.887836102488585E-05 q = tan(i/2)cos(node) -8.094698786371765E-06 apsidal rate 8.146067553304360E-06 deg/sec mean longitude rate 8.988222389105249E-03 deg/sec nodal rate -8.138705872927823E-06 deg/sec Reference plane pole RTA 77.31126999999999 deg Reference plane pole DEC 15.17520000000000 deg Elements for Desdem at Julian Date: 2446450.0 Semi-major axis 62658.36400000000 km h = esin(omega+node) 9.723239512740034E-05 k = ecos(omega+node) -7.979138390076314E-05 mean longitude 314.0004112591695 deg p = tan(i/2)sin(node) -7.934922021259821E-04 q = tan(i/2)cos(node) 5.783817071912779E-04 apsidal rate 7.747195444389255E-06 deg/sec mean longitude rate 8.796939111736320E-03 deg/sec nodal rate -7.740437839303249E-06 deg/sec Reference plane pole RTA 77.31126999999999 deg Reference plane pole DEC 15.17520000000000 deg Elements for Juliet at Julian Date: 2446450.0 Semi-major axis 64358.22200000000 km h = esin(omega+node) 5.937201276777622E-04 k = ecos(omega+node) 2.899050111831932E-04 mean longitude 308.6703577437537 deg p = tan(i/2)sin(node) -1.968311842960469E-04 q = tan(i/2)cos(node) -5.362697096802111E-04 apsidal rate 7.054135446068334E-06 deg/sec mean longitude rate 8.450533968211433E-03 deg/sec nodal rate -7.048279828285220E-06 deg/sec Reference plane pole RTA 77.31126999999999 deg Reference plane pole DEC 15.17520000000000 deg Elements for Portia at Julian Date: 2446450.0 Semi-major axis 66097.26500000000 km h = esin(omega+node) 4.439609698121046E-05 k = ecos(omega+node) -2.828284655050884E-05 mean longitude 340.8116975843583 deg p = tan(i/2)sin(node) -5.078474991455212E-04 q = tan(i/2)cos(node) -8.893683431833462E-05 apsidal rate 6.425626220921286E-06 deg/sec mean longitude rate 8.119056497467633E-03 deg/sec nodal rate -6.420569130989476E-06 deg/sec Reference plane pole RTA 77.31126999999999 deg Reference plane pole DEC 15.17520000000000 deg Elements for Rosali at Julian Date: 2446450.0 Semi-major axis 69926.79500000000 km h = esin(omega+node) 5.119640813135829E-05 k = ecos(omega+node) -1.018959466854515E-04 mean longitude 289.5039357650758 deg p = tan(i/2)sin(node) 5.408825347704433E-04 q = tan(i/2)cos(node) 2.371745328519729E-03 apsidal rate 5.276490952266129E-06 deg/sec mean longitude rate 7.461000211559000E-03 deg/sec nodal rate -5.272963274877423E-06 deg/sec Reference plane pole RTA 77.31126999999999 deg Reference plane pole DEC 15.17520000000000 deg Elements for Belind at Julian Date: 2446450.0 Semi-major axis 75255.61300000000 km h = esin(omega+node) -4.550504222119267E-05 k = ecos(omega+node) 5.770959489262290E-05 mean longitude 318.9675651318586 deg p = tan(i/2)sin(node) -2.637801571748877E-04 q = tan(i/2)cos(node) 4.337154961306541E-05 apsidal rate 4.082890883918376E-06 deg/sec mean longitude rate 6.682410746920550E-03 deg/sec nodal rate -4.080413586943079E-06 deg/sec Reference plane pole RTA 77.31126999999999 deg Reference plane pole DEC 15.17520000000000 deg Elements for Puck at Julian Date: 2446450.0 Semi-major axis 86004.44400000000 km h = esin(omega+node) 1.180321117033704E-04 k = ecos(omega+node) 8.610832533193203E-06 mean longitude 331.6236003018918 deg p = tan(i/2)sin(node) -2.784974210178902E-03 q = tan(i/2)cos(node) -6.156536661882880E-05 apsidal rate 2.565678895181057E-06 deg/sec mean longitude rate 5.469266062887764E-03 deg/sec nodal rate -2.564609522196947E-06 deg/sec Reference plane pole RTA 77.31126999999999 deg Reference plane pole DEC 15.17520000000000 deg Release to: HORIZONS/NAIF Date: 26-MAR-1998 Time: 16:27:30 Preparer: R.A. Jacobson Comments: Inner satellite orbits fit to Voyager and HST observations as described in AJ 115, 1195---1199, March 1998.