1. To the adaptive multibody gravity assists tours design in Jovian system for the Ganymede Landing. Grushevskii A.

2. 24th International Symphosium on Space Flight Dynamics, May 5-9, 2014
Keldysh Institute of Applied Mathematics Russian Academy of Sciences
Grushevskii A.V., Golubev Yu.F, Koryanov V.V., Tuchin A.G. To the adaptive multibody gravity assist tours design in Jovian system for the Ganymede Landing
24th International Symphosium on Space Flight Dynamics,
May 5-9, 2014

3. ESA- JUICE MISSION

4. ESA- JUICE Mission Debut
Interplanetary part-
Ganymede Flyby-
JOI-
G&C-Flyby Sequence
GOI

5. Roskosmos part: +Ganymede Landing
Flexible JOI Data
Flexible G&C-Flyby Sequence
GOI
Ganymede Circular Orbit
Landing

6. MaiN Problems
-Min Delta V (ballistic scenarios, if it’s possible)
-Radiation Doze Accumulation (TILD)
-Duration
-Min V-infinity relative Ganymede

7. Roscosmos part: Ganymede Landing. Resonance beginning. Typical scenario
Moon
Orbital period of SC after the satellite flyby rated to satellite’s orbital period
Number of rounds after a flyby
Ganymede 6 1 5 2 4 3
2.5
ESTK complex of Keldysh IAM RAS Ballistic Center
Navigation and Ancillary Information Facility (NAIF) - NASA
Refined Flyby Model

8. Quasi-Singularity of the Radiation Hazard

9. Joining to Jovian System After Interplanetary Part
Time of Jovian sphere of action 2029/06/03 09:25:10 UTC
Flyby hyperbola ( J2000)
Semimajor axe, km
Eccentricity
Inclination grad
V-Infinity, km/s 4.91
Pericenter Time 2029/08/29 17:20:35 UTC
Pericenter altitude 12.5 RJ

10. 1 GAM (near Ganymede)
Callisto
Europa IO
Ganymede
Time of minimal distance reaching
2030/04/25 12:55:52
Minimal distance km
Height of pericenter of flyby hyperbola km
Asymptotic velocity
Change of velocity relatively to Jupiter
Period after flyby of GANYMEDE
days
Distance in pericenter rated to Jupiter’s radius
Eccentricity after flyby
Velocity in pericenter after flyby
Velocity in apocenter after flyby
Vx= , Vy= , Vz= , |V|=

11. 2 GAM
Time of minimal distance reaching
2030/06/07 11:18:06
Minimal distance km
Height of pericenter of flyby hyperbola km
Asymptotic velocity
Change of velocity relatively to Jupiter
Period after flyby of GANYMEDE
days
Distance in pericenter rated to Jupiter’s radius
Eccentricity after flyby
Velocity in pericenter after flyby
Velocity in apocenter after flyby
Vx , Vy= , Vz= , |V|=

12. 3 GAM
Time of minimal distance reaching
2030/08/18 00:23:08
Minimal distance km
Height of pericenter of flyby hyperbola km
Asymptotic velocity
Change of velocity relatively to Jupiter
Period after flyby of GANYMEDE
days
Distance in pericenter rated to Jupiter’s radius
Eccentricity after flyby
Velocity in pericenter after flyby
Velocity in apocenter after flyby
Vx= , Vy= , Vz= , |V|=

13. 4 GAM
Time of minimal distance reaching
2030/09/15 15:30:37
Minimal distance km
Height of pericenter of flyby hyperbola km
Asymptotic velocity
Change of velocity relatively to Jupiter
Period after flyby of GANYMEDE
days
Distance in pericenter rated to Jupiter’s radius
Eccentricity after flyby
Velocity in pericenter after flyby
Velocity in apocenter after flyby
Vx= , Vy= , Vz= , |V|=

14. 5 GAM
Time of minimal distance reaching
2030/10/07 02:25:05
Minimal distance km
Height of pericenter of flyby hyperbola km
Asymptotic velocity
Change of velocity relatively to Jupiter
Period after flyby of GANYMEDE
days
Distance in pericenter rated to Jupiter’s radius
Eccentricity after flyby
Velocity in pericenter after flyby
Velocity in apocenter after flyby
Vx= , Vy= , Vz= , |V|=

15. 6 GAM
Time of minimal distance reaching
2030/11/12 04:29:38
Minimal distance km
Height of pericenter of flyby hyperbola km
Asymptotic velocity
Change of velocity relatively to Jupiter
Period after flyby of GANYMEDE
days
Distance in pericenter rated to Jupiter’s radius
Eccentricity after flyby
Velocity in pericenter after flyby
Velocity in apocenter after flyby
Vx= , Vy= , Vz= , |V|=

16. Quasi-Singularity of the Radiation Hazard

17. Gravity-assist sequence. Effective Type T1

18. RADIATION HAZARD PROBLEM (M. Podzolko e.a., SINP MSU Data)

19. Typical radiation hazard analysis on the ENDGAME phase
Dynamics of the radiation accumulation

20. Typical radiation hazard analysis on the ENDGAME phase
Dynamics of the radiation accumulation- zoom scale

21. Dynamics of the radiation accumulation- on one orbit. Quasi-singularity
Period after flyby of GANYMEDE
42.9 days
Distance in pericenter rated to Jupiter’s radius
11.5
Distance in apocenter rated to Jupiter’s radius
98.0

22. Ti (Tisserand’s Criterion)
Restricted 3 Body Problem Jacobi Integral J Tisserands Parameter T
(see R.Russel, S.Campagnola)
“Isoinfine” (“Captivity”)

23. Tisserand-Poincare graph (N. Strange, J. Sims, K. Kloster, J
Tisserand-Poincare graph (N.Strange, J.Sims, K.Kloster, J.Longuski axes Rp-T (A.Labunskii, O.Papkov, K.Sukhanov axes Ra-Rp- the same)

24. TP-strategy(axes Ra-Rp in RJ)

25. CB-Classic Billiard
Duplex Shutting
CGB-Classic Gravitational Billiard

26. Using PHASE BEAM method of Gravity Assists Sequences Determination

27. Previous front trees of Tisserand graph for Russian “Laplace” mission

28. Previous Tisserand Graph for the Roscosmos “Laplace” mission

29. Phase Selection
We need the criterion of selection of encounters for V-infinity reduction
The “Magic” code is:
“Ganymede”+”Not Ganymede”+”Ganymede”
Or “G”^”C”^…^”C”^”G”

30. Rebounds+ReRebounds (axes Ra-Rp)

31. Real Phase Searching(axes Ra-Rp in RJ)
Rebounds
Rebounds-ReRebounds

32. “JUICE” by ESA Tisserand-Poincare typical graph

33. Research basement
Orbit correction algorithm preceding spacecraft’s Jovian moons gravity assists
Gravity assists refined model
ESTK KIAM RAS Ballistic centre complex
Navigation and Ancillary Information Facility (NAIF) - NASA ephemeris — will be refined during JUICE by ESA

34. Fly-by sequence selection strategy
Lambert problem solution;
The phase-beams method;
Delta V minimizations;
Gravity-assist parameters permanent corrections;
Simulations results are presented.

35. Gravity-assist sequence. Effective Type T1

36. Part II of radiation-comfortable tour

37. Low-radiation sequence type T2

38. Type: Hyper-low-radiation, Expensive Delta V

39. «Endgame» (S.Campagnola, R.Russel, 2011)

40. Virtual Trajectories Splitting After Swing-by

41. Applications for Another Kinds of Flybys

42. Callisto & Ganymede assists us to minimize fuel requirements
Tour design problem lends itself well to optimization schemes
Callisto & Ganymede assists us to minimize fuel requirements

45. Thank you for your attention !