******************************************************************************* JPL/HORIZONS 3753 Cruithne (1986 TO) 2025-Dec-12 18:07:54 Rec #: 3753 (+COV) Soln.date: 2025-Nov-06_17:45:32 # obs: 1681 (1973-2025) IAU76/J2000 helio. ecliptic osc. elements (au, days, deg., period=Julian yrs): EPOCH= 2457811.5 ! 2017-Feb-27.00 (TDB) Residual RMS= .33634 EC= .5149024977211094 QR= .4839816594269906 TP= 2457740.1725028651 OM= 126.2367976177445 W= 43.82697541448969 IN= 19.80646853978785 A= .9976997555199564 MA= 70.54419146333908 ADIST= 1.511417851612922 PER= .99657 N= .9890181810000001 ANGMOM= .014729508 DAN= .5346 DDN= 1.1665 L= 168.3215554 B= 13.5706256 MOID= .0704037 TP= 2016-Dec-17.6725028651 Asteroid physical parameters (km, seconds, rotational period in hours): GM= n.a. RAD= 1.0355 ROTPER= 27.3099 H= 15.42 G= .150 B-V= n.a. ALBEDO= .365 STYP= Q ASTEROID comments: 1: soln ref.= JPL#304, OCC=0 2: source=ORB ******************************************************************************* ******************************************************************************* Ephemeris / WWW_USER Fri Dec 12 18:07:54 2025 Pasadena, USA / Horizons ******************************************************************************* Target body name: 3753 Cruithne (1986 TO) {source: JPL#304} Center body name: Earth (399) {source: DE441} Center-site name: BODY CENTER ******************************************************************************* Start time : A.D. 2017-Sep-04 00:00:00.0000 TDB Stop time : A.D. 2100-Jan-01 00:00:00.0000 TDB Step-size : 150 calendar years ******************************************************************************* Center geodetic : 0.0, 0.0, 0.0 {E-lon(deg),Lat(deg),Alt(km)} Center cylindric: 0.0, 0.0, 0.0 {E-lon(deg),Dxy(km),Dz(km)} Center radii : 6378.137, 6378.137, 6356.752 km {Equator_a, b, pole_c} Keplerian GM : 8.8876924467071033E-10 au^3/d^2 Small perturbers: Yes {source: SB441-N16} Output units : AU-D, deg, Julian Day Number (Tp) Calendar mode : Mixed Julian/Gregorian Output type : GEOMETRIC osculating elements Output format : 10 EOP file : eop.251212.p260310 EOP coverage : DATA-BASED 1962-JAN-20 TO 2025-DEC-12. PREDICTS-> 2026-MAR-09 Reference frame : Ecliptic of J2000.0 ******************************************************************************* Initial IAU76/J2000 heliocentric ecliptic osculating elements (au, days, deg.): EPOCH= 2457811.5 ! 2017-Feb-27.00 (TDB) Residual RMS= .33634 EC= .5149024977211094 QR= .4839816594269906 TP= 2457740.1725028651 OM= 126.2367976177445 W= 43.82697541448969 IN= 19.80646853978785 Equivalent ICRF heliocentric cartesian coordinates (au, au/d): X= 5.314501610997013E-01 Y=-8.838615547914510E-01 Z=-3.325996239767593E-01 VX= 1.519574275342356E-02 VY= 8.603477345148687E-04 VZ=-4.230865769309153E-03 Asteroid physical parameters (km, seconds, rotational period in hours): GM= n.a. RAD= 1.0355 ROTPER= 27.3099 H= 15.42 G= .150 B-V= n.a. ALBEDO= .365 STYP= Q ******************************************************************************* JDTDB EC QR IN OM W Tp N MA TA A AD PR ******************************************************************************* $$SOE 2458000.500000000 = A.D. 2017-Sep-04 00:00:00.0000 TDB EC= 2.130714333089429E+05 QR= 7.079398980434641E-01 IN= 3.444800742782628E+01 OM= 2.038001558570610E+02 W = 2.753210444843321E+02 Tp= 2458034.216819008347 N = 2.820378149769758E+05 MA=-9.509417961079655E+06 TA= 3.220831312552502E+02 A =-3.322562811973927E-06 AD= 9.999999999999998E+99 PR= 9.999999999999998E+99 $$EOE ******************************************************************************* TIME Barycentric Dynamical Time ("TDB" or T_eph) output was requested. This continuous coordinate time is equivalent to the relativistic proper time of a clock at rest in a reference frame co-moving with the solar system barycenter but outside the system's gravity well. It is the independent variable in the solar system relativistic equations of motion. TDB runs at a uniform rate of one SI second per second and is independent of irregularities in Earth's rotation. CALENDAR SYSTEM Mixed calendar mode was active such that calendar dates after AD 1582-Oct-15 (if any) are in the modern Gregorian system. Dates prior to 1582-Oct-5 (if any) are in the Julian calendar system, which is automatically extended for dates prior to its adoption on 45-Jan-1 BC. The Julian calendar is useful for matching historical dates. The Gregorian calendar more accurately corresponds to the Earth's orbital motion and seasons. A "Gregorian-only" calendar mode is available if such physical events are the primary interest. REFERENCE FRAME AND COORDINATES Ecliptic at the standard reference epoch Reference epoch: J2000.0 X-Y plane: adopted Earth orbital plane at the reference epoch Note: IAU76 obliquity of 84381.448 arcseconds wrt ICRF X-Y plane X-axis : ICRF Z-axis : perpendicular to the X-Y plane in the directional (+ or -) sense of Earth's north pole at the reference epoch. Symbol meaning [1 au= 149597870.700 km, 1 day= 86400.0 s]: JDTDB Julian Day Number, Barycentric Dynamical Time EC Eccentricity, e QR Periapsis distance, q (au) IN Inclination w.r.t X-Y plane, i (degrees) OM Longitude of Ascending Node, OMEGA, (degrees) W Argument of Perifocus, w (degrees) Tp Time of periapsis (Julian Day Number) N Mean motion, n (degrees/day) MA Mean anomaly, M (degrees) TA True anomaly, nu (degrees) A Semi-major axis, a (au) AD Apoapsis distance (au) PR Sidereal orbit period (day) ABERRATIONS AND CORRECTIONS Geometric osculating elements have NO corrections or aberrations applied. Computations by ... Solar System Dynamics Group, Horizons On-Line Ephemeris System 4800 Oak Grove Drive, Jet Propulsion Laboratory Pasadena, CA 91109 USA General site: https://ssd.jpl.nasa.gov/ Mailing list: https://ssd.jpl.nasa.gov/email_list.html System news : https://ssd.jpl.nasa.gov/horizons/news.html User Guide : https://ssd.jpl.nasa.gov/horizons/manual.html Connect : browser https://ssd.jpl.nasa.gov/horizons/app.html#/x API https://ssd-api.jpl.nasa.gov/doc/horizons.html command-line telnet ssd.jpl.nasa.gov 6775 e-mail/batch https://ssd.jpl.nasa.gov/ftp/ssd/horizons_batch.txt scripts https://ssd.jpl.nasa.gov/ftp/ssd/SCRIPTS Author : Jon.D.Giorgini@jpl.nasa.gov ******************************************************************************* !$$SOF CENTER = '@399' COMMAND = 'Cruithne' OUT_UNITS = 'AU-D' START_TIME = '2017-Sep-04' STEP_SIZE = '150 years' STOP_TIME = '2100-01-01' TABLE_TYPE = 'ELEMENTS'