The Algorithm Theoretical Basis Document for the Atmospheric Delay Correction to GLAS Laser Altimeter Ranges

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1 NASA/TM / Vol 8 ICESat (GLAS) Science Processing Software Document Series The Algorithm Theoretical Basis Document for the Atmospheric Delay Correction to GLAS Laser Altimeter Ranges Thomas A. Herring and Katherine J. Quinn National Aeronautics and Space Administration Goddard Space Flight Center Greenbelt, Maryland October 2012

2 NASA STI Program... in Profile Since its founding, NASA has been dedicated to the advancement of aeronautics and space science. The NASA scientific and technical information (STI) program plays a key part in helping NASA maintain this important role. The NASA STI program operates under the auspices of the Agency Chief Information Officer. It collects, organizes, provides for archiving, and disseminates NASA s STI. The NASA STI program provides access to the NASA Aeronautics and Space Database and its public interface, the NASA Technical Report Server, thus providing one of the largest collections of aeronautical and space science STI in the world. Results are published in both non-nasa channels and by NASA in the NASA STI Report Series, which includes the following report types: TECHNICAL PUBLICATION. Reports of completed research or a major significant phase of research that present the results of NASA Programs and include extensive data or theoretical analysis. Includes compilations of significant scientific and technical data and information deemed to be of continuing reference value. NASA counterpart of peer-reviewed formal professional papers but has less stringent limitations on manuscript length and extent of graphic presentations. TECHNICAL MEMORANDUM. Scientific and technical findings that are preliminary or of specialized interest, e.g., quick release reports, working papers, and bibliographies that contain minimal annotation. Does not contain extensive analysis. CONTRACTOR REPORT. Scientific and technical findings by NASA-sponsored contractors and grantees. CONFERENCE PUBLICATION. Collected papers from scientific and technical conferences, symposia, seminars, or other meetings sponsored or co-sponsored by NASA. SPECIAL PUBLICATION. Scientific, technical, or historical information from NASA programs, projects, and missions, often concerned with subjects having substantial public interest. TECHNICAL TRANSLATION. English-language translations of foreign scientific and technical material pertinent to NASA s mission. Specialized services also include organizing and publishing research results, distributing specialized research announcements and feeds, providing help desk and personal search support, and enabling data exchange services. For more information about the NASA STI program, see the following: Access the NASA STI program home page at your question via the Internet to help@sti.nasa.gov Fax your question to the NASA STI Help Desk at Phone the NASA STI Help Desk at Write to: NASA STI Help Desk NASA Center for AeroSpace Information 7115 Standard Drive Hanover, MD

3 NASA/TM / Vol 8 ICESat (GLAS) Science Processing Software Document Series The Algorithm Theoretical Basis Document for the Atmospheric Delay Correction to GLAS Laser Altimeter Ranges Thomas A. Herring The Massachusetts Institute of Technology, Cambridge, MA Katherine J. Quinn The Massachusetts Institute of Technology, Cambridge, MA National Aeronautics and Space Administration Goddard Space Flight Center Greenbelt, Maryland October 2012

4 Notice for Copyrighted Information This manuscript has been authored by employees of the Massachusetts Institute of Technology with the National Aeronoutics and Space Administration. The United States Government has a non-exclusive, irrevocable, worldwide license to prepare derivative works, publish, or reproduce this manuscript, and allow others to do so, for United States Government purposes. Any publisher accepting this manuscript for publication acknowledges that the United States Government retains such a license in any published form of this manuscript. All other rights are retained by the copyright owner. Trade names and trademarks are used in this report for identification only. Their usage does not constitute an official endorsement, either expressed or implied, by the National Aeronautics and Space Administration. Level of Review: This material has been technically reviewed by technical management Available from: NASA Center for AeroSpace Information 7115 Standard Drive Hanover, MD National Technical Information Service 5285 Port Royal Road Springfield, VA Price Code: A17

5 Table of Contents 1.0 Introduction Algorithm Description Group Refractivity Models Zenith Delay Equations Off-Nadir Pointing Corrections NCEP Global Analyses Surface Pressure Precipitable Water Vapor Delay Correction with Respect to Height Spatial Interpolation Temporal Interpolation Coordinate Systems Processing Flow Validation References Appendix A Appendix B ICESat Mission Summary Off-Nadir Atmospheric Delay Corrections Addendum 1

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48 REPORT DOCUMENTATION PAGE Form Approved OMB No The public repor ing burden for his collection of informa ion is estimated to average 1 hour per response, including the ime for reviewing instruc ions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collec ion of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports ( ), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. 1. REPORT DATE (DD-MM-YYYY) 2. REPORT TYPE 3. DATES COVERED (From - To) Technical Memorandum 4. TITLE AND SUBTITLE 5a. CONTRACT NUMBER The Algorithm Theoretical Basis Document for the Atmospheric Delay Correction to GLAS Laser Altimeter Ranges 5b. GRANT NUMBER 5c. PROGRAM ELEMENT NUMBER 6. AUTHOR(S) 5d. PROJECT NUMBER Thomas A. Herring, Katherine J. Quinn 5e. TASK NUMBER 5f. WORK UNIT NUMBER 7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) 8. PERFORMING ORGANIZATION REPORT NUMBER The Massachusetts Institute of Technology, Cambridge, MA Goddard Space Flight Center Greenbelt, MD SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSORING/MONITOR'S ACRONYM(S) National Aeronautics and Space Administration Washington, DC DISTRIBUTION/AVAILABILITY STATEMENT NASA GSFC 11. SPONSORING/MONITORING REPORT NUMBER NASA/TM /Vol. 8 Unclassified-Unlimited, Subject Category: 2, 43, 47 Report available from the NASA Center for Aerospace Information, 7115 Standard Drive, Hanover, MD (443) SUPPLEMENTARY NOTES 14. ABSTRACT NASA s Ice, Cloud, and Land Elevation Satellite (ICESat) mission will be launched late It s primary instrument is the Geoscience Laser Altimeter System (GLAS) instrument. The main purpose of this instrument is to measure elevation changes of the Greenland and Antarctic icesheets. To accurately measure the ranges it is necessary to correct for the atmospheric delay of the laser pulses. The atmospheric delay depends on the integral of the refractive index along the path that the laser pulse travels through the atmosphere. The refractive index of air at optical wavelengths is a function of density and molecular composition. For ray paths near zenith and closed form equations for the refractivity, the atmospheric delay can be shown to be directly related to surface pressure and total column precipitable water vapor. For ray paths off zenith a mapping function relates the delay to the zenith delay. The closed form equations for refractivity recommended by the International Union of Geodesy and Geophysics (IUGG) are optimized for ground based geodesy techniques and in the next section we will consider whether these equations are suitable for satellite laser altimetry. 15. SUBJECT TERMS Cryospheres, remote sensing, geodesy, satellite instruments, lasers, altimetry, refraction, elevation, algorithms, ice sheet elevation, ice environments, ice 16. SECURITY CLASSIFICATION OF: a. REPORT b. ABSTRACT c. THIS PAGE Unclassified Unclassified Unclassified 17. LIMITATION OF ABSTRACT Unclassified 18. NUMBER OF PAGES 47 19b. NAME OF RESPONSIBLE PERSON Dr. H. Jay Zwally 19b. TELEPHONE NUMBER (Include area code) (301) Standard Form 298 (Rev. 8-98) Prescribed by ANSI Std. Z39-18

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