prof. s. ishkov, samara/ssau young engineers satellite 2 samara summer space school 2004 mission...
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prof. S. Ishkov, SAMARA/SSAU
Young Engineers Satellite 2Young Engineers Satellite 2Samara Summer Space School 2004 Samara Summer Space School 2004
Mission Safety Analysis And Deployment ControlMission Safety Analysis And Deployment Control(theoretical substantiations)(theoretical substantiations)
SAMARA STATE AEROSPASE SAMARA STATE AEROSPASE UNIVERSITY, RUSSIAUNIVERSITY, RUSSIA
prof. S. Ishkov, SAMARA/SSAU
Mathematical ModelMathematical Model Assumptions:Assumptions:
– No any disturbances of FOTON-YES2 orbitNo any disturbances of FOTON-YES2 orbit
– The tether is always tenseThe tether is always tense
– FOTON and YES2 capsule are mass pointsFOTON and YES2 capsule are mass points
Y
θ’
Z
X
ξ
φ
η
ζ
СВ
А
r
θ’
θ
φ
prof. S. Ishkov, SAMARA/SSAU
Mathematical ModelMathematical Model
T – control tensionζ – dissipation coefficientS – tether cross-sectional aream – total massm2 – implicit massR - geocentric radius vector
ν – true anomaly of center of mass-r – undeformed tether length E – tether young modulus
prof. S. Ishkov, SAMARA/SSAU
SimulationsSimulations
Deployment trajectoryDeployment trajectory Deployment speed vs. Deployment speed vs. timetime
prof. S. Ishkov, SAMARA/SSAU
F(u)
Шаговый мотор
/Stepper motor
ОТС / OTSТ Х
Сравнивающее устройство
/The comparator
Программное устройство
/Onboard computer
u
Катушка фрикц. мех./Barberpole
spool
Фрикционный механизм
/Barberpole brake
Control systemControl system
a
l
l
)(tlnp)(tlnp
BI
n
u
0ntIn B
;,1
;,0
;,1
au
aua
au
I B
a
prof. S. Ishkov, SAMARA/SSAU
Simulation with barberpole brakeSimulation with barberpole brake
Tension vs. time with barberpole brake
without barberpole brake
Turns vs. time
prof. S. Ishkov, SAMARA/SSAU
Simulation with barberpole brakeSimulation with barberpole brake
Tension (zoomed) vs. time with barberpole brake
without barberpole brake
Turns (zoomed) vs. time
prof. S. Ishkov, SAMARA/SSAU
Jerk SimulationJerk Simulation
Deployment trajectoryDeployment trajectory Velocity vs. timeVelocity vs. time Tension vs. timeTension vs. time
Jerk after ~ 40Jerk after ~ 40thth second of deployment second of deployment
prof. S. Ishkov, SAMARA/SSAU
Jerk SimulationJerk Simulation
Deployment trajectoryDeployment trajectory Velocity vs. timeVelocity vs. time Tension vs. timeTension vs. time
Jerk after ~ 8Jerk after ~ 8thth second of deployment second of deployment
prof. S. Ishkov, SAMARA/SSAU
Jerk SimulationJerk Simulation
Deployment trajectoryDeployment trajectory Velocity vs. timeVelocity vs. time Tension vs. timeTension vs. time
Jerk after ~ 2Jerk after ~ 2ndnd second of deployment second of deployment