1. prof. S. Ishkov, SAMARA/SSAU Young Engineers Satellite 2 Samara Summer Space School 2004 Mission Safety Analysis And Deployment Control (theoretical substantiations) SAMARA STATE AEROSPASE UNIVERSITY, RUSSIA

2. prof. S. Ishkov, SAMARA/SSAU Mathematical Model Assumptions: Assumptions: –No any disturbances of FOTON-YES2 orbit –The tether is always tense –FOTON and YES2 capsule are mass points Y θ’θ’ Z X ξ φ η ζ С В А r θ’θ’ θ φ

3. prof. S. Ishkov, SAMARA/SSAU Mathematical Model T – control tension ζ – dissipation coefficient S – tether cross-sectional area m – total mass m 2 – implicit mass R - geocentric radius vector ν – true anomaly of center of mass - r – undeformed tether length E – tether young modulus

4. prof. S. Ishkov, SAMARA/SSAU Simulations Deployment trajectory Deployment speed vs. time

5. prof. S. Ishkov, SAMARA/SSAU F(u) Шаговый мотор / Stepper motor ОТС / OTS ТХ Сравнивающее устройство / The comparator Программное устройство / Onboard computer u Катушка фрикц. мех./ Barberpole spool Фрикционный механизм / Barberpole brake Control system

6. prof. S. Ishkov, SAMARA/SSAU Simulation with barberpole brake Tension vs. time with barberpole brake without barberpole brake Turns vs. time

7. prof. S. Ishkov, SAMARA/SSAU Simulation with barberpole brake Tension (zoomed) vs. time with barberpole brake without barberpole brake Turns (zoomed) vs. time

8. prof. S. Ishkov, SAMARA/SSAU Jerk Simulation Deployment trajectory Velocity vs. time Tension vs. time Jerk after ~ 40 th second of deployment

9. prof. S. Ishkov, SAMARA/SSAU Jerk Simulation Deployment trajectory Velocity vs. time Tension vs. time Jerk after ~ 8 th second of deployment

10. prof. S. Ishkov, SAMARA/SSAU Jerk Simulation Deployment trajectory Velocity vs. time Tension vs. time Jerk after ~ 2 nd second of deployment