Kepler's missing planets

We investigate the distributions of the orbital period ratios of adjacent planets in high multiplicity Kepler systems (four or more planets) and low multiplicity systems (two planets). Modeling the low multiplicity sample as essentially equivalent to the high multiplicity sample, but with unobserved intermediate planets, we find some evidence for an excess of planet pairs between the 2:1 and 3:1 Mean Motion Resonances in the low multiplicity sample. This possible excess may be the result of strong dynamical interactions near these or other resonances or it may be a byproduct of other evolutionary events or processes such as planetary collisions. Three planet systems show a significant excess of planets near the 2:1 Mean Motion Resonance that is not as prominent in either of the other samples. This observation may imply a correlation between strong dynamical interactions and observed planet number—perhaps a relationship between resonance pairs and the inclinations or orbital periods of additional planets. The period ratio distributions can also be used to identify targets to search for missing planets in the each of the samples, the presence or absence of which would have strong implications for planet formation and dynamical evolution models.

[1]  Batavia,et al.  Transit timing observations from Kepler - III. : Confirmation of four multiple planet systems by a Fourier-domain study of anticorrelated transit timing variations , 2012, 1201.5412.

[2]  S. J. Aarseth,et al.  Origin and Ubiquity of Short-Period Earth-like Planets: Evidence for the Sequential Accretion Theory of Planet Formation , 2005, astro-ph/0508305.

[3]  Jon M. Jenkins,et al.  ARCHITECTURE AND DYNAMICS OF KEPLER'S CANDIDATE MULTIPLE TRANSITING PLANET SYSTEMS , 2011, 1102.0543.

[4]  Howard Isaacson,et al.  Kepler-9: A System of Multiple Planets Transiting a Sun-Like Star, Confirmed by Timing Variations , 2010, Science.

[5]  J. Margot,et al.  ARE PLANETARY SYSTEMS FILLED TO CAPACITY? A STUDY BASED ON KEPLER RESULTS , 2013, 1302.7190.

[6]  S. Raymond,et al.  Predicting Planets in Known Extrasolar Planetary Systems. I. Test Particle Simulations , 2004, astro-ph/0402542.

[7]  Las Cumbres Observatory Global Telescope Network,et al.  PLANETARY CANDIDATES OBSERVED BY KEPLER. III. ANALYSIS OF THE FIRST 16 MONTHS OF DATA , 2012, 1202.5852.

[8]  Jack J. Lissauer,et al.  Urey Prize Lecture: On the Diversity of Plausible Planetary Systems , 1995 .

[9]  M. R. Haas,et al.  TRANSIT TIMING OBSERVATIONS FROM KEPLER. IV. CONFIRMATION OF FOUR MULTIPLE-PLANET SYSTEMS BY SIMPLE PHYSICAL MODELS , 2012, 1201.5415.

[10]  Tx,et al.  Transit timing observations from Kepler - VII. Confirmation of 27 planets in 13 multiplanet systems via transit timing variations and orbital stability , 2012, 1208.3499.

[11]  Eric B. Ford,et al.  ON THE RELATIVE SIZES OF PLANETS WITHIN KEPLER MULTIPLE-CANDIDATE SYSTEMS , 2012, 1212.1859.

[12]  Brett Gladman,et al.  Dynamics of Systems of Two Close Planets , 1993 .

[13]  Jie Li,et al.  THE KEPLER-19 SYSTEM: A TRANSITING 2.2 R⊕ PLANET AND A SECOND PLANET DETECTED VIA TRANSIT TIMING VARIATIONS , 2011, 1109.1561.

[14]  S. Tremaine,et al.  PLANETS NEAR MEAN-MOTION RESONANCES , 2012, 1211.5603.

[15]  Matthew J. Holman,et al.  The Use of Transit Timing to Detect Terrestrial-Mass Extrasolar Planets , 2005, Science.

[16]  E. Thommes.  A Safety Net for Fast Migrators: Interactions between Gap-opening and Sub-Gap-opening Bodies in a Protoplanetary Disk , 2005, astro-ph/0502427.

[17]  J. Margot,et al.  PREDICTING PLANETS IN KEPLER MULTI-PLANET SYSTEMS , 2011, 1112.0337.

[18]  J. Laskar,et al.  On the spacing of planetary systems. , 2000, Physical review letters.

[19]  F. Fressin,et al.  CHARACTERISTICS OF PLANETARY CANDIDATES OBSERVED BY KEPLER. II. ANALYSIS OF THE FIRST FOUR MONTHS OF DATA , 2011, 1102.0541.

[20]  F. Fressin,et al.  FIVE KEPLER TARGET STARS THAT SHOW MULTIPLE TRANSITING EXOPLANET CANDIDATES , 2010, 1006.2763.

[21]  K. Kinemuchi,et al.  ALMOST ALL OF KEPLER'S MULTIPLE-PLANET CANDIDATES ARE PLANETS , 2012, 1201.5424.

[22]  John C. Geary,et al.  Kepler-36: A Pair of Planets with Neighboring Orbits and Dissimilar Densities , 2012, Science.

[23]  E. Ford,et al.  A FIRST COMPARISON OF KEPLER PLANET CANDIDATES IN SINGLE AND MULTIPLE SYSTEMS , 2011, 1103.3896.

[24]  Jie Li,et al.  Transiting circumbinary planets Kepler-34 b and Kepler-35 b , 2012, Nature.

[25]  Howard Isaacson,et al.  TRANSIT TIMING OBSERVATIONS FROM KEPLER. II. CONFIRMATION OF TWO MULTIPLANET SYSTEMS VIA A NON-PARAMETRIC CORRELATION ANALYSIS , 2012, 1201.5409.

[26]  K. Kinemuchi,et al.  TRANSIT TIMING OBSERVATIONS FROM KEPLER. V. TRANSIT TIMING VARIATION CANDIDATES IN THE FIRST SIXTEEN MONTHS FROM POLYNOMIAL MODELS , 2012, 1201.1892.

[27]  The Neptune-sized Circumbinary Planet Kepler-38b , 2012, 1208.3712.

[28]  Konstantin Batygin,et al.  DISSIPATIVE DIVERGENCE OF RESONANT ORBITS , 2012, 1204.2791.

[29]  A. Johansen,et al.  CAN PLANETARY INSTABILITY EXPLAIN THE KEPLER DICHOTOMY? , 2012, 1206.6898.

[30]  G. Benedict,et al.  HUBBLE SPACE TELESCOPE FINE GUIDANCE SENSOR PARALLAXES FOR FOUR CLASSICAL NOVAE, , 2013, 1302.3245.

[31]  Peter Tenenbaum,et al.  TRANSIT TIMING OBSERVATIONS FROM KEPLER. I. STATISTICAL ANALYSIS OF THE FIRST FOUR MONTHS , 2011, 1102.0544.

[32]  Warren R. Brown,et al.  Kepler-16: A Transiting Circumbinary Planet , 2011, Science.

[33]  E. Agol,et al.  On detecting terrestrial planets with timing of giant planet transits , 2004 .

[34]  Ashley J. Ross,et al.  CLUSTERING OF SLOAN DIGITAL SKY SURVEY III PHOTOMETRIC LUMINOUS GALAXIES: THE MEASUREMENT, SYSTEMATICS, AND COSMOLOGICAL IMPLICATIONS , 2012, 1201.2137.

[35]  Orbital Perturbations of Transiting Planets: A Possible Method to Measure Stellar Quadrupoles and to Detect Earth-Mass Planets , 2001, astro-ph/0104034.