Skip to main content

Eliminating Poisson's Spot with Linear Programming

  • Conference paper

Part of the book series: Operations Research/Computer Science Interfaces ((ORCS,volume 47))

Abstract

A leading design concept for NASA's upcoming planet-finding space telescope involves placing an occulter 72,000 km in front of a 4-m telescope. The purpose of the occulter is to block the bright starlight thereby enabling the telescope to take pictures of planets orbiting the blocked star. Unfortunately, diffraction effects prevent a simple circular occulter from providing a sufficiently dark shadow—a specially shaped occulter is required. In this paper, I explain how to reduce this shape-optimization problem to a large-scale linear programming problem that can be solved with modern LP tools.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  • Cash W (2006) Detection of earth-like planets around nearby stars using a petal-shaped occulter. Nature 442:51–53

    Article  Google Scholar 

  • Charbonneau D, Brown T, Latham D, Mayor M (2000) Detection of planetary transits across a sun-like star. The Astrophysical Journal 529:45–48

    Article  Google Scholar 

  • Copi C, Starkman G (2000) The big occulting steerable satellite (boss). The Astro-physical Journal 532:581–592

    Article  Google Scholar 

  • Fourer R, Gay D, Kernighan B (1993) AMPL: A Modeling Language for Mathematical Programming. Scientific Press

    Google Scholar 

  • Marcy G, Butler P (1998) Detection of extrasolar giant planets. Annual Review of Astronomy and Astrophysics 36:57–97

    Article  Google Scholar 

  • Simmons W, Kasdin N, Vanderbei R, Cash W (2003) System concept design for the new worlds observer. Bulletin of the American Astronomical Society 35:1205

    Google Scholar 

  • Spitzer L (1965) The beginnings and future of space astronomy. Am Scientist 50(3):473

    Google Scholar 

  • Vanderbei R (1999) LOQO user's manual—version 3.10. Optimization Methods and Software 12:485–514

    Article  MathSciNet  Google Scholar 

  • Vanderbei R, Cady E, Kasdin N (2007) Optimal occulter design for finding extraso-lar planets. Astrophysical Journal 665(1):794–798

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer Science+Business Media, LLC

About this paper

Cite this paper

Vanderbei, R.J. (2009). Eliminating Poisson's Spot with Linear Programming. In: Chinneck, J.W., Kristjansson, B., Saltzman, M.J. (eds) Operations Research and Cyber-Infrastructure. Operations Research/Computer Science Interfaces, vol 47. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-88843-9_24

Download citation

  • DOI: https://doi.org/10.1007/978-0-387-88843-9_24

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-387-88842-2

  • Online ISBN: 978-0-387-88843-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics