MHD element for Attitude Control and Stabilization of the Rotating Spacecraft Some new ideas

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Stability of a rotating SC with a flexible
element located along its rotation axis 1, 2
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Auroral Probe (INTERBALL project)
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Mathematical model
where
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Stability condition
where
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Stability and instability domains for the
rotating SC of the AP type- - stability -
instability (one unstable root) instability
(two unstable roots)
??
?I
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Root loci of the second and third roots for
the variable parameters ?? and ?I
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Mathematical simulation of the nutation of the
gyro-stable AP- type SC (?0 const 0.0523 s-1
and ?c 0.06 s-1) (a) s is a vector locus
corresponding to the mass m displacement by the
strains of the flexible element (b) ? is a
vector locus corresponding to the angular
components of the SC
?
s
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Mathematical simulation of the nuta tion of the
gyro-unstable SC of the AP type (?0 const
0.0523 s-1 and ?c 0.03 s-1) (a) s is a vector
locus corresponding to the mass m displacement by
the strains of the flexible element (b) ? is a
vector locus corresponding to the angular
components of the SC
?
s
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MHD-elementTheory and experiment3, 4
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The MHD-element of the torus shape completely
filled with an electroconductive magnetized liquid
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Stability of a rotating SC with MHD-element in
the control loop 5, 6
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Mathematical model of a rotating SC with MHD
control
The root of the characteristic equations
responsible for the stability
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Stabilization of the gyro-stable SC of the AP-
type with MHD elements and accelerometers. The
mathematical simulation for ?0 const 0.0523
s-1, ?c 0.06 s-1 (a0 2, a1 3) (a) s is a
vector locus corresponding to the mass m
displacement by the strains of the flexible
element (b) ? is a vector locus corresponding to
the angular components of the SC
?
s
18
Stabilization of the gyro-unstable SC of the AP-
type with MHD elements and accelerometers. The
mathematical simulation for ?0 const 0.0523
s-1, ?c 0.03 s-1 (a0 2, a1 3) (a) s is a
vector locus corresponding to the mass m
displacement by the strains of the flexible
element (b) ? is a vector locus corresponding to
the angular components of the SC
?
s
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Facility for the experimental studying of the
MHD-phenomena
1, 2, 3 the rotating MHD-element
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Experimental results
Amplitude and phase responses of I/V control loop

• Theory
• Experiment, A(f)
• Experiment, ??(f)

?, ?
The hydrodynamical moment acting on the torus
during the slow braking of its rotation

• Theory
• Experiment without magnetic field
• Experiment with magnetic field

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MHD-element for the attitude control and
stabilization of a rotating spacecraft Some new
ideas 7, 8, 9, 10
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Reminiscences concerning some problems of Rocket
Carriers dynamics and stability
The launches of N-1 heavy Rocket Carrier (RC) in
the years 1969 1972 discovered the disturbing
moment in the roll plane, caused by the twist of
the Liquid Propellant Engines (LPE) jets
combination around the longitudinal axis of the
RC.
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The heavy RC N-1
The view from the tail on the 30 LPE of the N-1 RC
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The equilibrium forms of 8 interacting LPE jets

• a The form with the regular symmetry
• b The form with two planes of symmetry
• c - The form with screw symmetry

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Mechanical models of the LPE jets forms presented
in the previous slide

• a The form with the regular symmetry
• b The form with two planes of symmetry
• c - The form with the screw symmetry

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The launch of N-1 RC 3-L
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General comment to the slide 22

• Analyzing the situation described above we see
  the arising in particular cases of the roll
  moment caused by a gas dynamical eccentricity of
  LPE jets. The moment is acting on a non rotating
  object (RC).
• We are looking forward to use the analogous
  phenomena for generating the pitch and yaw
  moments for the attitude control of the rotating
  SC. These moments must be in the contrary to the
  previous case under strict control. The point is
  that we can use for this purpose a hydro
  dynamical eccentricity with MHD control.
• Let us consider this problem more closely.

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MHD effects in the Nature
Force lines of the Jovian magnetic field in the
vicinity of the Io orbit
The forces acting on the elements of a rotating
plasma torus
Eccentric Jovian plasma torus including the Io
moons orbit
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Table 1. Parameters of Jupiter
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Table 2. Parameters of Jovian torus
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New MHD-element realizing the attitude control
of a spinning SC
Ferromagnetic magnet guide
Electro conductive liquid
Winding
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Rotating SC with a new MHD-element
Mathematical model
Steady-state regime
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MHD control of the three surface of the liquid
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Summary

• The fact of vital importance is that the system
  being under consideration has no hinges and does
  not need any special fuel expenses
• To confirm the new conception and to make the
  next step for its practical application we must
  fulfill a good deal of theoretical and
  experimental investigation.

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References

• Dokuchaev, L.V., Rabinovich, B.I. Analisis of
  Perturbed Motion near the Stability Boundary of a
  Rotating Spacecraft of the INTERBALL Auroral
  Probe Type, Cosmic Research, Vol. 37. No. 6,
  1999, pp. 554 562.
• Dokuchaev, L.V, Nazirov, R.R., Rabinovich, B.I.,
  Ulyashin, A.I., On the Concordance of the
  Mathematical Model of Nutation of the Interball-2
  Sattelite with a Flight Experiment. Cosmic
  Research, Vol. 38, No 5, 2000, pp. 454 462.
• Rabinovich, B.I., Lebedev, V.G., Mytarev, A.I.
  Vortex Processes and Solid Body Dynamics. The
  Dynamic Problems of Spacecraft and Magnetic
  Levitation Systems. Kluwer Academic Publishers,
  Dordrecht, 1994, 296 p.
• Churilov, G.A., Klishev, O.P., Mytarev, A.I.,
  Rabinovich, B.I. Experimental Research of
  Toroidal Magnetohydrodynamic Element. Physical
  and Mathematical Models of Slow Breking Process,
  Scientific and technical journal Polyot
  (Flight), No 9, 2001, pp. 21 27 (In Russian).
  
• Dokuchaev, L.V., Rabinovich, B.I., Grishin, A.V.
  About the Stabilization of the Spacecraft with
  Deformable Elements Using the Magnetohydrodynamic
  Effects, Scientific and technical Journal
  Polyot (Flight), No 7, 2000, pp. 21 27 (In
  Russian).

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• 6. B.I. Rabinovich. Structural Control of a
  Rotating Spacecraft with Elastic Spike Antennas
  Using the Magnetohydrodynamic Control System. 3rd
  International Workshop on Structural Control.
  Paris July 2000, pp. 453-461.
• Rabinovich, B.I., Prokhorenko., V.I. Concerning
  the rolling disturbance caused by the joint work
  of a Rocket Carriers LPR Engines, Preprint Space
  Research Institute Russian Academy of Sciences,
  ??.-2023, 2000, 18.
• 8. Rabinovich, B.I. A Plasma Ring Rotating
  in a Gravitational. Magnetic Field The
  Stability Problem, Doklady Physics, Vol 44, No 7,
  1999, pp. 482 485.
• 9. Rabinovich, B.I., Prokhorenko, V.I. A
  Spacecraft with a Liquid Stabilized by Rotation,
  Plasma Torus and Alfvens Problem, Scientific and
  technical journal Polyot (Flight), No 5,
  1999, pp. 9 16 (In Russian).
• 10. B.I. Rabinovich. Some New Ideas of the
  Attitude Control Based on the Magnetohydrodynamic
  Phenomena. The Application to the Rotating
  Spacecraft. Astro2000, 11 CASI Conference on
  Astronautics, Ottawa, Canada, November 2000, p.
  240a.