We present a method of proving existence of center manifolds within specified domains. The method is based on a combination of topological tools, normal forms, and rigorous computer-assisted computations. We apply our method to obtain a proof of a center manifold in an explicit region around the equilibrium point L1 in the Earth–Sun planar restricted circular three-body problem.

a Energy Research Center of the Netherlands (ECN), Policy Studies Department, Amsterdam, The Netherlands Columbia University, Lenfest Center for Sustainable Energy, The Earth Institute, New York City, NY, USA c School of Advanced International Studies, Johns Hopkins University, Bologna, Italy d Eindhoven University of Technology, Department of Industrial Engineering & Innovation Sciences, Eindh...

CHONDRITES. T.J. McCoy, C.M. Corrigan, J. Davidson, D.L. Schrader, and K. Righter Dept. of Mineral Sciences, Smithsonian Institution, Washington DC 20560-0119 USA ([email protected]) Department of Terrestrial Magnetism, Carnegie Institution of Washington, Washington, DC 20015-1305, USA Center for Meteorite Studies, School of Earth and Space Exploration, Arizona State University, Tempe, AZ 85287 USA...

Max-Planck-Institut für Radioastronomie, Bonn, Germany, Department of Physics and Astronomy, University of Texas at San Antonio, San Antonio, TX, United States, 3 Instituto Nacional de Astrofísica Óptica y Electrónica, Puebla, Mexico, 4 SOFIA Science Center, NASA Ames Center, Mountain View, CA, United States, Centre for Remote Sensing and Earth Observation Processes (TAP), Flemish Institute for...

Astrid Oberson, Else K. Bünemann, Dennis K. Friesen, I.M. Rao, Paul C. Smithson, Benjamin L. Turner, and Emmanuel Frossard, Institute of Plant Sciences, Swiss Federal Institute of Technology, Zurich, Switzerland School of Earth and Environmental Sciences, University of Adelaide, Adelaide, Australia International Center for the Improvement of Maize and Wheat (CIMMYT) and International Q1 Fertili...

Future Opportunities and Challenges in Remote Sensing of Drought Brian D. Wardlow, Martha C. Anderson, Justin Sheffield, Brad Doorn, Xiwu Zhan, Matt Rodell, and Others National Drought Mitigation Center, University of Nebraska-Lincoln U.S. Department of Agriculture, Agricultural Research Service Department of Civil and Environmental Engineering, Princeton University National Aeronautics and Spa...

S. I. Khan, P. Adhikari, Y. Hong, H. Vergara, T. Grout, R. F. Adler, F. Policelli, D. Irwin, T. Korme, and L. Okello School of Civil Engineering and Environmental Sciences, University of Oklahoma, Norman, OK, USA NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA Earth System Science Interdisciplinary Center, University of Maryland, College Park, MD, USA NASA Marshall Space Flight Cente...

G. S. Collins, N. Artemieva, K. Wünnemann, P. A. Bland, W. U. Reimold, and C. Koeberl Impacts and Astromaterials Research Centre, Department of Earth Science and Engineering, Imperial College London, SW7 2AZ London, UK; Institute for the Dynamics of Geospheres, Russian Academy of Sciences, Moscow, Russia; Museum for Natural History, Humboldt University, Invalidenstrasse 43, 10115 Berlin, German...

a Earth Life Science Institute, Tokyo Institute of Technology, Meguro-ku, Tokyo 152-8550, Japan b Department of Geological Sciences, University of Colorado, UCB 399, 2200 Colorado Avenue, Boulder, CO 80309-0399, USA c Institute for Geological and Geochemical Research, Research Center for Astronomy and Earth Sciences, Hungarian Academy of Sciences, 45 Budaörsi Street, H-1112 Budapest, Hungary d ...

1 Department of Applied Physics and Applied Mathematics, Columbia University, New York, NY 2 Lamont-Doherty Earth Observatory of Columbia University, Palisades, NY 3 Department of Earth and Environmental Sciences, Columbia University, New York, NY 4 NASA Goddard Institute for Space Studies, New York, NY 5 Pacific Northwest National Laboratory, Richland, Washington 6 NASA Langley Research Center...