Microlensing Constraints on the Frequency of Jupiter-Mass Companions: Analysis of 5 Years of PLANET Photometry

We analyze 5 years of PLANET photometry of microlensing events toward the Galactic bulge to search for the short-duration deviations from single-lens light curves that are indicative of the presence of planetary companions to the primary microlenses. Using strict event-selection criteria, we construct a well-defined sample of 43 intensively monitored events. We search for planetary perturbations in these events over a densely sampled region of parameter space spanning two decades in mass ratio and projected separation, but find no viable planetary candidates. By combining the detection efficiencies of the events, we find that, at 95% confidence, less than 25% of our primary lenses have companions with mass ratio q = 10-2 and separations in the lensing zone, [0.6-1.6]θE, where θE is the Einstein ring radius. Using a model of the mass, velocity, and spatial distribution of bulge lenses, we infer that the majority of our lenses are likely M dwarfs in the Galactic bulge. We conclude that less than 33% of M dwarfs in the Galactic bulge have companions with mass mp = MJ between 1.5 and 4 AU, and less than 45% have companions with mp = 3MJ between 1 and 7 AU, the first significant limits on planetary companions to M dwarfs. We consider the effects of the finite size of the source stars and changing our detection criterion, but find that these do not alter our conclusions substantially.

[1]  M. Dominik,et al.  Detection of Rotation in a Binary Microlens: PLANET Photometry of MACHO 97-BLG-41* , 2000 .

[2]  C. Alcock Gravitational lenses , 1982, Nature.

[3]  J. Beaulieu,et al.  Limb Darkening of a K Giant in the Galactic Bulge: PLANET Photometry of MACHO 97-BLG-28 , 1998, astro-ph/9811479.

[4]  S. Cassisi,et al.  The Initial Mass Function of the Galactic Bulge down to ~0.15 M☉ , 1999, astro-ph/9906452.

[5]  P. M. Vreeswijk,et al.  LIMITS ON THE ABUNDANCE OF GALACTIC PLANETS FROM 5 YEARS OF PLANET OBSERVATIONS , 2000 .

[6]  Neville J. Woolf,et al.  ASTRONOMICAL SEARCHES FOR EARTH-LIKE PLANETS AND SIGNS OF LIFE , 1998 .

[7]  Philip Yock,et al.  On Planetary Companions to the MACHO 98-BLG-35 Microlens Star , 2000 .

[8]  et al,et al.  An Interferometric Search for Bright Companions to 51 Pegasi , 1998 .

[9]  P. Vreeswijk,et al.  The 1995 Pilot Campaign of PLANET: Searching for Microlensing Anomalies through Precise, Rapid, Round-the-Clock Monitoring , 1998, astro-ph/9807299.

[10]  Cheongho Han,et al.  Comparison of the Two Follow-up Observation Strategies for Gravitational Microlensing Planet Searches , 2000, astro-ph/0008332.

[11]  T. L. Moore,et al.  Radial velocity observations of the sun at night , 1993 .

[12]  Neda Safizadeh,et al.  The Use of High-Magnification Microlensing Events in Discovering Extrasolar Planets , 1997 .

[13]  Real-Time Detection of Gravitational Microlensing , 1995, astro-ph/9508039.

[14]  University of Chicago,et al.  A new channel for the detection of planetary systems through microlensing , 1997, astro-ph/9711013.

[15]  B. Peterson,et al.  Real-Time Detection and Multisite Observations of Gravitational Microlensing , 1996 .

[16]  B. Scott Gaudi,et al.  Distinguishing Between Binary-Source and Planetary Microlensing Perturbations , 1998 .

[17]  S. Mao,et al.  Can lensed stars be regarded as pointlike for microlensing by MACHOs , 1994 .

[18]  A. Boss,et al.  Protostars and Planets VI , 2000 .

[19]  T. Brown,et al.  Detection of Planetary Transits Across a Sun-like Star , 1999, The Astrophysical journal.

[20]  J. Beaulieu,et al.  Limits on stellar and planetary companions in microlensing event OGLE-1998-BUL-14 , 1999, astro-ph/9909325.

[21]  M. Mayor,et al.  A Jupiter-mass companion to a solar-type star , 1995, Nature.

[22]  R. Nemiroff,et al.  Finite source sizes and the information content of macho-type lens search light curves , 1994, astro-ph/9401005.

[23]  R. P. Butler,et al.  Magnetic Activity-related Radial Velocity Variations in Cool Stars: First Results from the Lick Extrasolar Planet Survey , 1998 .

[24]  Combined Analysis of the Binary Lens Caustic-crossing Event MACHO 98-SMC-1 , 1999, astro-ph/9907247.

[25]  Andrew Gould,et al.  Proper Motions of MACHOs , 1994 .

[26]  Predicting Stellar Angular Sizes , 1999, astro-ph/9904295.

[27]  B. Gaudi,et al.  Microlensing by Multiple Planets in High-Magnification Events , 1998, astro-ph/9803282.

[28]  Andrew Gould,et al.  Discovering Planetary Systems through Gravitational Microlenses , 1992 .

[29]  W. D. Cochran,et al.  The Discovery of a Planetary Companion to 16 Cygni B , 1997 .

[30]  A. Gould,et al.  Stokes's Theorem Applied to Microlensing of Finite Sources , 1997 .

[31]  R. P. Butler,et al.  ATTAINING DOPPLER PRECISION OF 3 M S-1 , 1996 .

[32]  MEASURING THE REMNANT MASS FUNCTION OF THE GALACTIC BULGE , 1999, astro-ph/9906472.

[33]  J. Beaulieu,et al.  A Complete Set of Solutions for Caustic Crossing Binary Microlensing Events , 1999, astro-ph/9903008.

[34]  R. Paul Butler,et al.  Evidence for Multiple Companions to υ Andromedae , 1999 .

[35]  Andrew Gould,et al.  Planet Parameters in Microlensing Events , 1996, astro-ph/9610123.

[36]  P. Vermaak The effects of resolved sources and blending on the detection of planets via gravitational microlensing , 2000 .

[37]  Laurance R. Doyle,et al.  The photometric method of extrasolar planet detection revisited , 1992 .

[38]  David Charbonneau,et al.  A Lack of Planets in 47 Tucanae from a Hubble Space Telescope Search , 2000 .

[39]  David P. Bennett,et al.  Detecting Earth-Mass Planets with Gravitational Microlensing , 1996, astro-ph/9603158.

[40]  EXPECTATIONS FROM A MICROLENSING SEARCH FOR PLANETS , 1996, astro-ph/9612062.

[41]  M. Dominik,et al.  PLANET Observations of Microlensing Event OGLE-1999-BUL-23: Limb-darkening Measurement of the Source Star , 2000, astro-ph/0004243.

[42]  O. Shemmer,et al.  Discovery of a planet orbiting a binary star system from gravitational microlensing , 1999, Nature.

[43]  R. Paul Butler,et al.  A Pair of Resonant Planets Orbiting GJ 876 , 2001 .

[44]  K. Griest,et al.  Effect of binary sources on the search for massive astrophysical compact halo objects via microlensing , 1992 .

[45]  A. Drake,et al.  Binary Microlensing Events from the MACHO Project , 2000 .

[46]  R. P. Butler,et al.  A Transiting “51 Peg-like” Planet , 2000, The Astrophysical journal.

[47]  The Optical Gravitational Lensing Experiment. the Early Warning System , 1994, astro-ph/9408026.

[48]  A. Gould,et al.  The Mass Spectrum Of Machos From Parallax Measurements , 1994, astro-ph/9409036.

[49]  R. Perna,et al.  Identifying Microlensing by Binaries , 1997, astro-ph/9702088.

[50]  R. Di Stefano,et al.  Interpretation of gravitational microlensing by binary systems , 1995 .

[51]  K. Zebrun,et al.  The Optical Gravitational Lensing Experiment. Catalog of Microlensing Events in the Galactic Bulge , 2000 .

[52]  P. Schechter,et al.  DOPHOT, A CCD PHOTOMETRY PROGRAM: DESCRIPTION AND TESTS , 1993 .

[53]  D. Soderblom Planets Beyond the Solar System and the Next Generation of Space Missions , 1997 .

[54]  R. P. Butler,et al.  Sub-Saturn Planetary Candidates of HD 16141 and HD 46375 , 2000, The Astrophysical journal.

[55]  Bohdan Paczynski,et al.  Gravitational microlensing by the galactic halo , 1986 .

[56]  A Planetary Companion to a Nearby M4 Dwarf, Gliese 876* , 1998, astro-ph/9807307.

[57]  R. Paul Butler,et al.  Two Substellar Companions Orbiting HD 168443 , 2001 .

[58]  A. Gould,et al.  MICROLENSING EVENTS : THIN DISK, THICK DISK, OR HALO ? , 1994 .

[59]  William J. Borucki,et al.  The photometric method of detecting other planetary systems , 1984 .

[60]  Rosanne Di Stefano,et al.  A New Channel for the Detection of Planetary Systems through Microlensing. I. Isolated Events due to Planet Lenses , 1999 .

[61]  G. González ARE STARS WITH PLANETS ANOMALOUS , 1999 .

[62]  A. Tomaney,et al.  MACHO Alert 95-30: First Real-Time Observation of Extended Source Effects in Gravitational Microlensing , 1997 .

[63]  Bohdan Paczynski,et al.  Gravitational microlensing by double stars and planetary systems , 1991 .

[64]  P. Nisenson,et al.  A Planet Orbiting the Star ρ Coronae Borealis , 1997 .

[65]  B. Scott Gaudi,et al.  Detection efficiencies of microlensing data sets to stellar and planetary companions , 2000 .

[66]  B.A.Peterson,et al.  Observations of the Binary Microlens Event MACHO 98-SMC-1 by the Microlensing Planet Search Collaboration , 1998, astro-ph/9812252.

[67]  S. Mao,et al.  Do Microlensing Events Repeat , 1996 .

[68]  William H. Press,et al.  Numerical recipes , 1990 .

[69]  E. E. Falco,et al.  The Detectability of Planetary Companions of Compact Galactic Objects from Their Effects on Microlensed Light Curves of Distant Stars , 1994 .

[70]  M. J. Lehner,et al.  The Macho Project: 45 Candidate Microlensing Events from the First Year Galactic Bulge Data , 1997 .

[71]  H. Bondi,et al.  The Gravitational Lens Effect , 1964 .

[72]  J. Angel,et al.  An Imaging Nulling Interferometer to Study Extrasolar Planets , 1997 .