To appear in ApJS. Preprint typeset using LATEX style AASTeX6 v. 1.0 BANYAN. IX. THE INITIAL MASS FUNCTION AND PLANETARY-MASS OBJECT SPACE DENSITY OF THE TW HYA ASSOCIATION Jonathan Gagne´1,2, Jacqueline K. Faherty1,3, Eric E. Mamajek4,5, Lison Malo6,7, Rene´ Doyon7, Joseph C. Filippazzo8, Alycia J. Weinberger1, Jessica K. Donaldson1,Sebastien´ Lepine´ 9, David Lafreniere` 7, Etienne´ Artigau7, Adam J. Burgasser10, Dagny Looper11, Anne Boucher7, Yuri Beletsky12, Sara Camnasio13, Charles Brunette7, Genevieve` Arboit7 1 Carnegie Institution of Washington DTM, 5241 Broad Branch Road NW, Washington, DC 20015, USA;
[email protected] 2 NASA Sagan Fellow 3 NASA Hubble Fellow 4 Department of Physics & Astronomy, University of Rochester, Rochester, NY 14627, USA 5Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA 91109, USA 6 Canada-France-Hawaii Telescope, 65-1238 Mamalahoa Hwy, Kamuela, HI 96743, USA 7 Institute for Research on Exoplanets, Universit´ede Montr´eal,D´epartement de Physique, C.P. 6128 Succ. Centre-ville, Montr´eal,QC H3C 3J7, Canada 8 Space Telescope Science Institute, 3700 San Martin Dr, Baltimore, MD 21218, USA 9 Department of Physics and Astronomy, Georgia State University, 25 Park Place, Atlanta, GA 30302, USA 10 Center for Astrophysics and Space Sciences, University of California, San Diego, 9500 Gilman Dr., Mail Code 0424, La Jolla, CA 92093, USA 11 New York University Tisch School of the Arts, 721 Broadway, 10th floor, New York, NY 10003, USA 12 Las Campanas Observatory, Carnegie Institution of Washington, Colina el Pino, Casilla 601 La Serena, Chile 13 Department of Physics and Astronomy, Hunter College, City University of New York, NY 10065, USA ABSTRACT A determination of the initial mass function (IMF) of the current, incomplete census of the 10 Myr- old TW Hya association (TWA) is presented.