Analytical solutions to a guidance problem

J. E. Cochran; T. S. No; D. G. Thaxton

Analytical solutions to a guidance problem

J. E. Cochran
, T. S. No
, D. G. Thaxton

Department of Aerospace Engineering

Auburn University

Research output: Conference(x) › Paper › peer-review

1 Scopus citations

Abstract

Analytical solutions to the nonlinear equations of relative motion of a constant-velocity target and an interceptor which uses a form of proportional navigation as a guidance law are obtained for navigation gains of 3 and A. The solutions are in terms of elliptic functions and integrals. Although relatively complicated, these solutions may be readily evaluated. Some interesting results regarding intercept boundaries are also given.

Original language	English
Pages	94-100
Number of pages	7
State	Published - 1988
Event	Astrodynamics Conference, 1988 - Minneapolis, United States Duration: 1988.08.15 → 1988.08.17

Conference

Conference	Astrodynamics Conference, 1988
Country/Territory	United States
City	Minneapolis
Period	88.08.15 → 88.08.17

Cite this

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title = "Analytical solutions to a guidance problem",

abstract = "Analytical solutions to the nonlinear equations of relative motion of a constant-velocity target and an interceptor which uses a form of proportional navigation as a guidance law are obtained for navigation gains of 3 and A. The solutions are in terms of elliptic functions and integrals. Although relatively complicated, these solutions may be readily evaluated. Some interesting results regarding intercept boundaries are also given.",

author = "Cochran, \{J. E.\} and No, \{T. S.\} and Thaxton, \{D. G.\}",

note = "Publisher Copyright: {\textcopyright} 1988 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.; Astrodynamics Conference, 1988 ; Conference date: 15-08-1988 Through 17-08-1988",

year = "1988",

language = "English",

pages = "94--100",

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TY - CONF

T1 - Analytical solutions to a guidance problem

AU - Cochran, J. E.

AU - No, T. S.

AU - Thaxton, D. G.

PY - 1988

Y1 - 1988

N2 - Analytical solutions to the nonlinear equations of relative motion of a constant-velocity target and an interceptor which uses a form of proportional navigation as a guidance law are obtained for navigation gains of 3 and A. The solutions are in terms of elliptic functions and integrals. Although relatively complicated, these solutions may be readily evaluated. Some interesting results regarding intercept boundaries are also given.

AB - Analytical solutions to the nonlinear equations of relative motion of a constant-velocity target and an interceptor which uses a form of proportional navigation as a guidance law are obtained for navigation gains of 3 and A. The solutions are in terms of elliptic functions and integrals. Although relatively complicated, these solutions may be readily evaluated. Some interesting results regarding intercept boundaries are also given.

UR - https://www.scopus.com/pages/publications/85002062736

M3 - Paper

AN - SCOPUS:85002062736

SP - 94

EP - 100

T2 - Astrodynamics Conference, 1988

Y2 - 15 August 1988 through 17 August 1988

ER -

Analytical solutions to a guidance problem

Abstract

Conference

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