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Aeroassisted Orbital Transfer pp 30–54Cite as

Chapter 3. Fuel optimal control for coplanar orbital transfer

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 188))

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Abbreviations

A:

Sρs/2m

A1 :

CD0SρsHa/2m

A2 :

CLRSρsHa/2m

AOTV:

Aeroassisted orbital transfer vehicle

ad :

Rd/Ra

aC :

Rc/Ra

b:

Ra/Ha

CD :

drag coefficient

CDO :

zero-lift drag coefficient

CL :

lift coefficient

CLR :

lift coefficient for maximum lift-to-drag ratio

D:

drag force

Em :

maximum value of L/D

g:

gravitational acceleration

H:

altitude

HEO:

high Earth orbit

ℋ:

Hamiltonian

J:

performance index

K:

induced drag factor

L:

lift force

L/D:

lift-to-drag ratio

LEO:

low Earth orbit

m:

vehicle mass

OTV:

orbital transfer vehicle

R:

distance from Earth center to vehicle center of gravity

Ra :

radius of the atmospheric boundary

Rc :

radius of the low Earth orbit

Rd :

radius of the high Earth orbit

RE :

radius of Earth

Rs :

distance from vehicle center of gravity to surface level

S:

aerodynamic reference area

SSO:

space station orbit

t:

time

V:

velocity

ν:

normalized velocity

β:

inverse atmospheric scale height

γ:

flight path angle

δ:

normalized density

λ:

costate (Lagrange) variable

μ:

gravitational constant of Earth

η:

CL/CLR

ρ:

density

τ:

normalized time

ΔV:

characteristic velocity

Δv:

normalized characteristic velocity

c:

circularization or reorbit

d:

deorbit

e:

entry to atmosphere

f:

exit from atmosphere

h:

Hohmann transfer

i:

idealized transfer

s:

surface level

References

  1. Pioneering the Space Frontier, The Report of the National Space Commission on Space, Banton Books Inc., New York, May 1986.

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  2. G. D. Walberg, "A survey of aeroassisted orbital transfer," J. Spacecraft, 22, 3–18, 1985.

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  3. K. D. Mease, and N. X. Vinh, "Minimum-fuel aeroassisted coplanar orbit transfer using lift modulation," J. Guidance, Control, and Dynamics, 8, 134–141, 1985.

    Google Scholar 

  4. A. Miele, V. K. Basapur, and W. Y. Lee, "Optimal trajectories for aeroassisted coplanar orbit transfer," J. Opt. Theory & Appl., 52, 1–24, 1987.

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  5. M. H. Kaplan, Modern Spacecraft Dynamics and Control, John Wiley & Sons, New York, 1976.

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  6. J. P. Marec, Optimal Space Trajectories, Elsevier Scientific Publishing Company, Amsterdam, 1979.

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  7. J. Stoer, and R. Bulirsch, Introduction to Numerical Analysis, Springer-Verlag, New York, 1980.

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  8. H. J. Pesch, "Numerical computation of neighboring optimum feedback control schemes in real-time," Appl. Math. Optim., 5, 231–252, 1979.

    Article  Google Scholar 

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© 1994 Springer-Verlag London Limited

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(1994). Chapter 3. Fuel optimal control for coplanar orbital transfer. In: Aeroassisted Orbital Transfer. Lecture Notes in Control and Information Sciences, vol 188. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0015125

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  • DOI: https://doi.org/10.1007/BFb0015125

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19819-2

  • Online ISBN: 978-3-540-39309-2

  • eBook Packages: Springer Book Archive

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