The distribution of exoplanet masses

被引:83
作者
Jorissen, A
Mayor, M
Udry, S
机构
[1] Free Univ Brussels, Inst Astron & Astrophys, B-1050 Brussels, Belgium
[2] Observ Geneva, CH-1290 Sauverny, Switzerland
关键词
methods : numerical; stars : planetary systems;
D O I
10.1051/0004-6361:20011373
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The present study derives the distribution of secondary masses M-2 for the 67 exoplanets and very low-mass brown-dwarf companions of solar-type stars, known as of April 4, 2001. This distribution is related to the distribution of M-2 sin i through an integral equation of Abel's type. Although a formal solution exists for this equation, it is known to be ill-conditioned, and is thus very sensitive to the statistical noise present in the input M-2 sin i distribution. To overcome this difficulty, we present two robust, independent approaches: (i) the formal solution of the integral equation is numerically computed after performing an optimal smoothing of the input distribution and (ii) the Lucy-Richardson algorithm is used to invert the integral equation. Both approaches give consistent results. The resulting statistical distribution of exoplanet true masses reveals that there is no reason to ascribe the transition between giant planets and brown dwarfs to the threshold mass for deuterium ignition (about 13.6 MJ). The M-2 distribution shows instead that most of the objects have M-2 less than or equal to 10 M-J, but there is a small tail with a few heavier candidates around 15 M-J.
引用
收藏
页码:992 / 998
页数:7
相关论文
共 25 条
[1]   ON BANDWIDTH VARIATION IN KERNEL ESTIMATES - A SQUARE ROOT LAW [J].
ABRAMSON, IS .
ANNALS OF STATISTICS, 1982, 10 (04) :1217-1223
[2]  
[Anonymous], 1992, MULTIVARIATE DENSITY
[3]   Evidence for multiple companions to υ andromedae [J].
Butler, RP ;
Marcy, GW ;
Fischer, DA ;
Brown, TM ;
Contos, AR ;
Korzennik, SG ;
Nisenson, P ;
Noyes, RW .
ASTROPHYSICAL JOURNAL, 1999, 526 (02) :916-927
[4]   MASS-DISTRIBUTION OF BINARY STARS USING AN ITERATIVE INVERSION TECHNIQUE [J].
CERF, N ;
BOFFIN, HMJ .
INVERSE PROBLEMS, 1994, 10 (03) :533-546
[5]   ON THE INTEGRAL EQUATION GOVERNING THE DISTRIBUTION OF THE TRUE AND THE APPARENT ROTATIONAL VELOCITIES OF STARS [J].
CHANDRASEKHAR, S ;
MUNCH, G .
ASTROPHYSICAL JOURNAL, 1950, 111 (01) :142-156
[6]   Detection of planetary transits across a sun-like star [J].
Charbonneau, D ;
Brown, TM ;
Latham, DW ;
Mayor, M .
ASTROPHYSICAL JOURNAL, 2000, 529 (01) :L45-L48
[7]  
Halbwachs JL, 2000, ASTRON ASTROPHYS, V355, P581
[8]   Preliminary astrometric masses for proposed extrasolar planetary companions [J].
Han, I ;
Black, DC ;
Gatewood, G .
ASTROPHYSICAL JOURNAL, 2001, 548 (01) :L57-L60
[9]  
Hardle W., 1990, APPL NONPARAMETRIC R, DOI DOI 10.1017/CCOL0521382483
[10]   ITERATIVE TECHNIQUE FOR RECTIFICATION OF OBSERVED DISTRIBUTIONS [J].
LUCY, LB .
ASTRONOMICAL JOURNAL, 1974, 79 (06) :745-754