Maximum-likelihood method for estimating the mass and period distributions of extrasolar planets

被引:98
作者
Tabachnik, S [1 ]
Tremaine, S [1 ]
机构
[1] Princeton Univ Observ, Princeton, NJ 08544 USA
关键词
planetary systems; planetary systems : formation; planetary systems : protoplanetary discs;
D O I
10.1046/j.1365-8711.2002.05610.x
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate the distribution of mass M and orbital period P of extrasolar planets, taking account of selection effects caused by the limited velocity precision and duration of existing surveys. We fit the data on 72 planets to a power-law distribution of the form dn = CM-alpha P-beta (dM/M)(dP/P), and find alpha = 0.11 +/- 0.10, beta = 0.27 +/- 0.06 for M less than or similar to 10 M-J, where M-J is the mass of Jupiter. The correlation coefficient between these two exponents is -0.31, indicating that uncertainties in the two distributions are coupled. We estimate that 4 per cent of solar-type stars have companions in the range 1 M-J < M < 10 M-J, 2 d P < 10 yr.
引用
收藏
页码:151 / 158
页数:8
相关论文
共 17 条
[1]  
BASRI G, 1997, AIP C P, V393, P228
[2]  
COCHRAN WD, 2000, IN PRESS IAU S, V202
[3]   The Lick planet search: Detectability and mass thresholds [J].
Cumming, A ;
Marcy, GW ;
Butler, RP .
ASTROPHYSICAL JOURNAL, 1999, 526 (02) :890-915
[4]  
Endl M, 2000, ASTRON ASTROPHYS, V362, P585
[5]  
Hayashi C., 1981, Progress of Theoretical Physics Supplement, P35, DOI 10.1143/PTPS.70.35
[6]   The distribution of exoplanet masses [J].
Jorissen, A ;
Mayor, M ;
Udry, S .
ASTRONOMY & ASTROPHYSICS, 2001, 379 (03) :992-998
[7]   Detection of extrasolar giant planets [J].
Marcy, GW ;
Butler, RP .
ANNUAL REVIEW OF ASTRONOMY AND ASTROPHYSICS, 1998, 36 :57-97
[8]  
Mayor M, 1998, ASTR SOC P, V134, P140
[9]   The mass distribution of extrasolar planet candidates and spectroscopic binary low-mass companions [J].
Mazeh, T ;
Goldberg, D ;
Latham, DW .
ASTROPHYSICAL JOURNAL, 1998, 501 (02) :L199-L203
[10]   The mass distribution of extrasolar planet candidates and low-mass secondaries [J].
Mazeh, T .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1999, 311 (3-5) :317-324