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Automatic Differentiation: Geometry of Satellites and Tracking Stations

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Encyclopedia of Optimization

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Keywords

Geometric Models

Sample Optimization Problems

  Minimum Range

  Direction Angles and Their Derivatives

  Design Parameter Optimization

Automatic Differentiation

  Scalar Functions and Operations

  Vector Functions and Operations

  Implementation Methods

Summary

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References

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References

  1. Bate RR, Mueller DD, White JE (1971) Fundamentals of astrodynamics. Dover, Mineola, NY

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  2. Battin RH (1987) An introduction to the mathematics and methods of astrodynamics. AIAA Education Ser. Amer. Inst. Aeronautics and Astronautics, Reston, VA

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  5. Griewank A, Corliss GF (eds) (1995) Automatic differentiation of algorithms: Theory, implementation, and application. SIAM, Philadelphia

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  6. Kalman D (1999) Marriages made in the heavens: A practical application of existence. Math Magazine 72(2):94–103

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  7. Kalman D, Lindell R (1995) Automatic differentiation in astrodynamical modeling. In: Griewank A and Corliss GF (eds) Automatic differentiation of algorithms: Theory, implementation, and application. SIAM, Philadelphia, pp 228–241

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  8. Rall LB (Dec. 1986) The arithmetic of differentiation. Math Magazine 59(5):275–282

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  9. Thomas GB Jr, Finney RL (1996) Calculus and analytic geometry, 9th edn. Addison-Wesley, Reading, MA

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  10. Wertz JR (ed) (1978) Spacecraft attitude determination and control. Reidel, London

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Author information

Authors and Affiliations

  1. American University, Washington, DC, USA

    Dan Kalman

Authors
  1. Dan Kalman
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Kalman, D. (2008). Automatic Differentiation: Geometry of Satellites and Tracking Stations . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_25

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