Satellite Ephemeris File Release Satellite Ephemeris: MAR085 Location: ssd.jpl.nasa.gov/pub/eph/satellites/nio/LINUX_PC/mar085.nio Size(nio): 12 bytes Enter SATEPHMERGE/13 02-Jun-2009 09:36: 1.621 linked 01-Apr-2008 09:16:24 Fit to data: MAR085.6 Ephemeris Version Number: 17 Timespan from JED 2415023.500(04-JAN-1900) to JED 2488071.500(03-JAN-2100) File Epoch Julian Date: 2442983.50 Master Interval: 4.0000 Days Equinox Reference Julian Date: 2451545.00 Planetary Ephemeris Number: DE-0421/LE-0421 Bodies on the File: Name Number GM NDIV NDEG Model Phobos 401 7.091739680170039E-04 16 15 SATORB Deimos 402 1.009641595898490E-04 8 15 SATORB Mars 499 4.282837440030002E+04 16 7 SATORB System 4.282837521043814E+04 Additional Constants on the File: AU 1.495978706996262E+08 RADIUS 3.396000000000000E+03 J402 1.956607465830782E-03 J403 3.147507554074059E-05 J404 -1.538575483533000E-05 J405 5.726763004136751E-06 J406 -4.855110957757139E-06 J407 -4.104314721127168E-06 J408 -5.950945316885806E-07 POLTIM 2.451545000000000E+06 ZACPL4 3.172516888281604E+02 ZDEPL4 5.440970827020242E+01 DACPL4 -1.089657253405223E-01 DDEPL4 -5.793317199773752E-02 WPL4 1.760765375475796E+02 WDP4 3.508919824964918E+02 GMB 4.035032363095674E+05 GM6 3.794058520000016E+07 GM5 1.267127648000003E+08 GMS 1.327124400409446E+11 C40201 3.104209608136573E-10 S40201 2.948800476093854E-10 C40202 -5.463219407577550E-05 S40202 3.158709200319611E-05 C40301 4.108329934135620E-06 S40301 2.719466079272354E-05 C40302 -5.447240601050437E-06 S40302 2.855955002123446E-06 C40303 4.888057891148419E-06 S40303 3.566172683977448E-06 C40401 4.000016367008860E-06 S40401 3.570166063899290E-06 C40402 -2.129934470887725E-07 S40402 -2.008182886982658E-06 C40403 3.858684129034953E-07 S40403 -1.154676158274252E-08 C40404 6.544311209591252E-09 S40404 -2.719921965529053E-07 C40501 4.141964360940282E-07 S40501 1.817987460862057E-06 C40502 -6.955872223050639E-07 S40502 -1.886863024238513E-07 C40503 1.094315923279241E-07 S40503 8.975121493770691E-09 C40504 -3.613132311828388E-08 S40504 -2.633398994590623E-08 C40505 -1.095650470178056E-08 S40505 9.306795249330532E-09 401RAD 1.132000000000000E+01 401J2 1.005800000000000E-01 401C22 1.591000000000000E-02 401LIB 1.189424542401034E+00 4K2_0 1.520000000000000E-01 401PSI -3.458126947205846E-01 Chebyshev interpolation error: 2.000 meters Release to: Horizons/NAIF Time: 15-Jan-2010 08:43:29 Preparer: R. A. Jacobson Comments: Ephemeris for Martian satellites from fit to all data. Work is described in AJ 139 (2010) 668-679. THE ORBITS AND MASSES OF THE MARTIAN SATELLITES AND THE LIBRATION OF PHOBOS R. A. Jacobson Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA 91109-8099 robert.jacobson@jpl.nasa.gov ABSTRACT This paper reports on an update to the orbits and masses of the Martian satellites, Phobos and Deimos. We obtained the orbits by fitting a numerical integration to all available Earthbased astrometry through the opposition of 2003, spacecraft imaging observations through 2007, and the Doppler tracking of the Viking and Phobos 2 spacecraft; the Doppler data provide information on the satellite masses. Our dynamical model included the figure acceleration due to a librating Phobos; we determined the amplitude of the forced libration. We also took into account the secular acceleration of Phobos due to the tide that it raises on Mars and estimated the Martian tidal quality factor Q. We provide an assessment of the accuracy of the orbits and a geometrical description of the orbits in the form of mean elements.