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Space Shuttle Debris Presented by: Evan C. Wayton

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Page 1: Space Shuttle Debris

Space Shuttle DebrisPresented by: Evan C. Wayton

Page 2: Space Shuttle Debris

Scope• Overview• Contact Models• Tracker Considerations• Simulated Considerations• Simulated Data Results• Conclusions

Page 3: Space Shuttle Debris

Scope: Overview• Overview

• Mission• 3-2-1-Blastoff!• Why Study Ascent Debris?

• Nominal Radar Systems• Key Performance Parameters

• Contact Models• Tracker Considerations• Simulated Considerations• Simulated Data Results• Conclusions

Gregory M. Horstkamp, JOHNS HOPKINS APL TECHNICAL DIGEST, VOLUME 29, NUMBER 2 (2010)

Page 4: Space Shuttle Debris

Mission: 3-2-1-Blastoff!~Liftoff

Page 5: Space Shuttle Debris

Mission: 3-2-1-Blastoff!~4 seconds

Page 6: Space Shuttle Debris

Mission: 3-2-1-Blastoff!~19 seconds

Page 7: Space Shuttle Debris

Mission: 3-2-1-Blastoff!

http://www.zinkwazi.com/blog/1462/cosmo-skymed-4-satellite-launch-november-5-2010

Page 8: Space Shuttle Debris

Mission: Why Study Ascent Debris• STS-107 (Columbia)

February 1, 2003

• What was the debris?

• How do we track ascent debris in the night?

• Why is it important?

Page 9: Space Shuttle Debris

Mission: Ascent Debris

https://www.youtube.com/watch?v=IgQ3ekcvyRA#t=21

Page 10: Space Shuttle Debris

Nominal Systems (NASA)• July 24, 2014: US Patent 20140203961 A1

• “ A method is provided for analyzing debris events after a launch of a rocket-propelled vehicle. Radar and Doppler data of the launch of the rocket-powered vehicle is collected for a period of time. Atmospheric conditions are determined at the time of launch. A trajectory of the rocket-propelled vehicle is determined during ascent.”

ARDENT: Ascent Radar Debris

Examination Tool

http://www.google.com/patents/US20140203961

Page 11: Space Shuttle Debris

Nominal Systems (NASA)• July 24, 2014: US Patent 20140203961 A1

• Columbia Disaster Conclusion• Small briefcase sized foam insulation struck left wing

• Common ascent debris• SRB and SRB exhaust/smoke plumes• Main engine exhaust

• “ During the STS-107 accident investigation, radar data collected during ascent indicated a debris event that was initially theorized to be the root cause of the accident. This theory was investigated and subsequently disproved by the Columbia Accident Investigation Board (CAIB). However, the data itself and the lack of understanding of what debris data in radar meant to the shuttle program, required further analysis and understanding.”

http://www.google.com/patents/US20140203961

Page 12: Space Shuttle Debris

Nominal Systems (Lockheed)• February 7, 2006: US Patent 6995705 B2

• “System and method for doppler track correlation for debris tracking”

Page 13: Space Shuttle Debris

Nominal Systems• Land Based C-Band Mid-Course Imaging Radar (MCR)

• “Far enough north” such that the exhaust of SRBs would not impede a potential debris event

• Sea Based X-Band all weather Doppler Radars• Mirror image of C-Band MCR• Head on view of ascent

Kent, B.M. “The NASA debris radar for characterizing static and dynamic ascent debris events for safety of flight,” APSURSI 2012 IEEE

Page 14: Space Shuttle Debris

Nominal Systems

http://www.google.com/patents/US20140203961

Kent, B.M. “The NASA debris radar for characterizing static and dynamic ascent debris events for safety of flight,” APSURSI 2012 IEEE

Page 15: Space Shuttle Debris

Key Performance Parameters• This is very interesting, and could

quickly escape the scope of this project

• How can we use what we learned about Kalman filters to track a simplified ascent debris model?• Use a Kalman filter to track shuttle and

shuttle debris• Distinguish shuttle track from SRB

debris track using gating/association

Page 16: Space Shuttle Debris

Scope: Overview• Overview• Contact Models

• Dynamics of Target Relative to Radar• Associated Physics• Shuttle Model: STS-124• Solid Rocket Booster Model: STS-124

• Tracker Considerations• Simulated Considerations• Simulated Data Results• Conclusions

Page 17: Space Shuttle Debris

Dynamics of Target Relative to Radar

http://space.stackexchange.com/questions/3616/were-space-shuttle-external-tanks-recoverable-and-reusable

Page 18: Space Shuttle Debris

Dynamics of Target Relative to Radar

science.ksc.nasa.gov/shuttle/technology/images/tal_abort_2.jpg

Page 19: Space Shuttle Debris

Associated Physics• Doppler Shift

• Aside: Lord Rayleigh

• Radar Cross Section (RCS)

• Ballistic coefficient

• Drag/Terminal Velocity

Page 20: Space Shuttle Debris

Shuttle Model: STS-124• Launch date: May 31, 2008

• Simplifying Assumption• Entire duration of launch

takes place in a plane

http://www.spaceflightnow.com/shuttle/sts124/fdf/124ascentdata.html

Page 21: Space Shuttle Debris

Shuttle Model: STS-124

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800Down Range Distance of Shuttle Relative to Launch Pad (RLP) vs. Time

Time Since Launch [sec]

Dow

n R

ange

Dis

tanc

e (R

LP) [

mile

s]

0 100 200 300 400 500 600-10

0

10

20

30

40

50

60

70Height of Shuttle (RLP) vs. Time

Time Since Launch [sec]

Ele

vatio

n [m

iles]

Shuttle

Shuttle

Page 22: Space Shuttle Debris

Shuttle Model: STS-124

0 100 200 300 400 500 600 700 800-10

0

10

20

30

40

50

60

70Height Vs. Down Range Distance (RLP)

Down Range Distance (RLP) [miles]

Hei

ght o

f Shu

ttle

(RLP

) [m

iles]

Shuttle

Page 23: Space Shuttle Debris

Solid Rocket Booster (SRB) Model: STS-124• No SRB trajectory data was

available for this flight, except the time of SRB separation• Utilize “typical” trajectory

descriptions for SRB

• (Time, Location of Separation)• (Time, Max Altitude)• (Time, Height Parachute)• (Time, Location of SRB Landing)

http://upload.wikimedia.org/wikipedia/commons/4/42/Srb_splashdown.jpg

Page 24: Space Shuttle Debris

No SRB Data Provided• http://www-pao.ksc.nasa.gov/kscpao/nasafact/ships.htm

• SRB hit Atlantic Ocean ~60 miles down range,

• Just so happens that at the time that the height reaches zero, the shuttle has gone 60 miles, so we assume that the DR trajectory of the SRB is the same as that of the shuttle

• This isn’t true, for a number of reasons.

• A pair of SRBs, fully loaded with propellant, weigh about 1.4 million pounds (635,040 kilograms) apiece. They stand 149.2 feet (45.5 meters) tall, and have a diameter of 12 feet (3.6 meters). The boosters in use today are the largest solid propellant motors ever developed for space flight and the first to be used on a manned space vehicle. These boosters will propel the orbiter to a speed of 3,512 miles per hour (5,652 kilometers per hour).

• At approximately two minutes after the Space Shuttle lifts off from the launch pad, the twin SRBs have expended their fuel. The boosters separate from the orbiter and its external tank at an altitude of approximately 30.3 statute miles (26.3 nautical miles/48.7 kilometers) above the Earth's surface. After separation, momentum will propel the SRBs for another 70 seconds to an altitude of 44.5 statute miles (38.6 nautical miles/71.6 kilometers) before they begin their long tumble back to Earth.

Page 25: Space Shuttle Debris

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800Down Range Distance of Shuttle & SRB Relative to Launch Pad (RLP) vs. Time

Time Since Launch [sec]

Dow

n R

ange

Dis

tanc

e (R

LP) [

mile

s]

ShuttleSRB

0 100 200 300 400 500 600-10

0

10

20

30

40

50

60

70Height of Shuttle and SRB (RLP) vs. Time

Time Since Launch [sec]

Ele

vatio

n [m

iles]

ShuttleSRB

Shuttle and SRB Trajectories

Page 26: Space Shuttle Debris

Scope: Overview• Overview• Contact Models• Tracker Considerations

• Tracking Shuttle, SORV• Radar 1• Radar 2

• Simulated Considerations• Gating• Gating and Association

• Simulated Data Results• No gating, or association in time• No gating, or association in 2D spatial • Gating and association

• Conclusions

Page 27: Space Shuttle Debris

Tracking: Shuttle, SORV

Radar 1: (xo,yo,zo)=(0,-50,0) [miles]

Page 28: Space Shuttle Debris

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800

900

1000

Time since Launch [sec]

Rad

ial D

ista

nce

(RTR

) [m

iles]

Radial Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: ShuttleMeasured: ShuttleTracked: Shuttle

0 100 200 300 400 500 6000

10

20

30

40

50

60

70

80

90

Time since Launch [sec]

Azi

mut

hal A

ngle

[deg

]

Azimuthal Angle (RTR) of Shuttle vs. Time

Truth: ShuttleMeasured: ShuttleTracked: Shuttle

0 100 200 300 400 500 600-5

0

5

10

15

20

25

30

35

Time since Launch [sec]E

leva

tion

Ang

le [d

eg]

Elevation Angle (RTR) of Shuttle vs. Time

Truth: ShuttleMeasured: ShuttleTracked: Shuttle

Tracking: Shuttle, SORV

Radar 1: (xo,yo,zo)=(0,-50,0) [miles]

Page 29: Space Shuttle Debris

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800

900

1000

Time since Launch [sec]

X D

ista

nce

(RTR

) [m

iles]

X Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: ShuttleMeasured: ShuttleTracked Polar: Shuttle

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800

900

1000

Time since Launch [sec]

Y D

ista

nce

(RTR

) [m

iles]

Y Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: ShuttleMeasured: ShuttleTracked Polar: Shuttle

0 100 200 300 400 500 6000

20

40

60

80

100

120

140

160

180

200

Time since Launch [sec]Z

Dis

tanc

e (R

TR) [

mile

s]

Z Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: ShuttleMeasured: ShuttleTracked Polar: Shuttle

Tracking: Shuttle SORV

Radar 1: (xo,yo,zo)=(0,-50,0) [miles]

Page 30: Space Shuttle Debris

Tracking: Shuttle, SORV

Radar 2: (xo,yo,zo)=(300,-300,0) [miles]

Page 31: Space Shuttle Debris

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800

900

1000

Time since Launch [sec]

Rad

ial D

ista

nce

(RTR

) [m

iles]

Radial Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: ShuttleMeasured: ShuttleTracked: Shuttle

0 100 200 300 400 500 600-60

-40

-20

0

20

40

60

Time since Launch [sec]

Azi

mut

hal A

ngle

[deg

]

Azimuthal Angle (RTR) of Shuttle vs. Time

Truth: ShuttleMeasured: ShuttleTracked: Shuttle

0 100 200 300 400 500 600-4

-2

0

2

4

6

8

10

12

14

16

Time since Launch [sec]E

leva

tion

Ang

le [d

eg]

Elevation Angle (RTR) of Shuttle vs. Time

Truth: ShuttleMeasured: ShuttleTracked: Shuttle

Tracking: Shuttle, SORV

Radar 2: (xo,yo,zo)=(300,-300,0) [miles]

Page 32: Space Shuttle Debris

Tracking: Shuttle SORV

0 100 200 300 400 500 600-800

-600

-400

-200

0

200

400

600

800

Time since Launch [sec]

X D

ista

nce

(RTR

) [m

iles]

X Distance of Shuttle Relative to Radar (RTR) vs. Time

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800

900

1000

Time since Launch [sec]

Y D

ista

nce

(RTR

) [m

iles]

Y Distance of Shuttle Relative to Radar (RTR) vs. Time

0 100 200 300 400 500 6000

20

40

60

80

100

120

140

160

180

200

Time since Launch [sec]Z

Dis

tanc

e (R

TR) [

mile

s]

Z Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: ShuttleMeasured: ShuttleTracked Polar: Shuttle

Truth: ShuttleMeasured: ShuttleTracked Polar: Shuttle

Truth: ShuttleMeasured: ShuttleTracked Polar: Shuttle

Radar 2: (xo,yo,zo)=(300,-300,0) [miles]

Page 33: Space Shuttle Debris

Shuttle and SRB Trajectories• The radar receives serial measurements

• Without gating and association, it cannot distinguish between shuttle and SRB

• What would happen if the radar tried to track the data without gating and association?

Page 34: Space Shuttle Debris

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800

900

1000

Time since Launch [sec]

Rad

ial D

ista

nce

(RTR

) [m

iles]

Radial Distance Relative to Radar (RTR) of Shuttle and SRB vs. Time

Truth: Shuttle + SRB Rx DataMeasured: Shuttle + SRB Rx DataTracked: Shuttle + SRB

0 100 200 300 400 500 6000

10

20

30

40

50

60

70

80

90

Time since Launch [sec]

Azi

mut

hal A

ngle

[deg

]

Azimuthal Angle (RTR) of Shuttle and SRB vs. Time

Truth: Shuttle + SRB Rx DataMeasured: Shuttle + SRB Rx DataTracked: Shuttle + SRB

0 100 200 300 400 500 600-5

0

5

10

15

20

25

30

35

Time since Launch [sec]E

leva

tion

Ang

le [d

eg]

Elevation Angle (RTR) of Shuttle and SRB vs Time

Truth: Shuttle + SRB Rx DataMeasured: Shuttle + SRB Rx DataTracked: Shuttle + SRB

Tracking: Shuttle and SRB

Radar 1: (xo,yo,zo)=(0,-50,0) [miles]

Page 35: Space Shuttle Debris

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800

900

1000

Time since Launch [sec]

X D

ista

nce

(RTR

) [m

iles]

X Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: Shuttle + SRBMeasured: Shuttle + SRBTracked Polar: Shuttle +SRB

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800

900

1000

Time since Launch [sec]

Y D

ista

nce

(RTR

) [m

iles]

Y Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: Shuttle + SRBMeasured: Shuttle + SRBTracked Polar: Shuttle +SRB

0 100 200 300 400 500 6000

20

40

60

80

100

120

140

160

180

200

Time since Launch [sec]Z

Dis

tanc

e (R

TR) [

mile

s]

Z Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: Shuttle + SRBMeasured: Shuttle + SRBTracked Polar: Shuttle +SRB

Tracking: Shuttle and SRB, Cartesian

Radar 1: (xo,yo,zo)=(0,-50,0) [miles]

Page 36: Space Shuttle Debris

Tracking Shuttle and SRB: Gating• Perhaps utilizing a gate alone would solve our problem?

With only gating, the tracker would mix up the shuttle and

the SRB tracks!

Page 37: Space Shuttle Debris

Gating and Association• Utilizing an EKF gating and association in Cartesian coordinates

could be implemented, due to time constraints, a 3DEKF with gating and association was not implemented

• Association of trajectories crossing with significant parallel component is increasingly difficult with noise present

• How can we implement association without this added complexity?

Page 38: Space Shuttle Debris

Gating and Association• Let’s take a look at what our shuttle and SRB data looks like in

Height, Range space

0 200 400 600 800 1000 12000

20

40

60

80

100

120

140

160

180

200Height Vs. Down Range Distance of Shuttle and SRB (RTR)

Down Range Distance (RTR) [miles]

Hei

ght (

RTR

) [m

iles]

Truth: Shuttle + SRBMeasured Shuttle +SRB

Radar 1: (xo,yo,zo)=(0,-50,0) [miles]

Non-overlapping data, perhaps association will be

easier in this domain?

Page 39: Space Shuttle Debris

Gating and Association• Let’s use a 2DRV filter without gating:

0 200 400 600 800 1000 12000

50

100

150

200

250

300

350

400

450

500Height Vs. Down Range Distance of Shuttle and SRB (RTR)

Down Range Distance (RTR) [miles]

Hei

ght (

RTR

) [m

iles]

Truth: Shuttle + SRBMeasured Shuttle +SRB

Radar 1: (xo,yo,zo)=(0,-50,0) [miles]

Had to use very small η, cannot recover from

continual “zero measurments”

Page 40: Space Shuttle Debris

0 100 200 300 400 500 6000

20

40

60

80

100

120

140

160

180

200

Time since Launch [sec]

Z D

ista

nce

(RTR

) [m

iles]

Z Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: Shuttle + SRBMeasured: Shuttle + SRBTracked Polar: Shuttle +SRB

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800

900

1000

Time since Launch [sec]

Y D

ista

nce

(RTR

) [m

iles]

Y Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: Shuttle + SRBMeasured: Shuttle + SRBTracked Polar: Shuttle +SRB

0 100 200 300 400 500 600-5

0

5

10

15

20

25

30

35

Time since Launch [sec]

Azi

mut

hal A

ngle

(RTR

) [m

iles]

Azimuthal Angle of Shuttle Relative to Radar (RTR) vs. Time

Truth: Shuttle + SRBMeasured: Shuttle + SRBTracked Polar: Shuttle +SRB

Gating and Association• Perhaps we could gate/associate Z, Y, and Phi?

Radar 1: (xo,yo,zo)=(0,-50,0) [miles]

Page 41: Space Shuttle Debris

0 100 200 300 400 500 6000

20

40

60

80

100

120

140

160

180

200

Time since Launch [sec]

Z D

ista

nce

(RTR

) [m

iles]

Z Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: Shuttle + SRBMeasured: Shuttle + SRBGated Track 1Gated Measured Data

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800

900

1000

Time since Launch [sec]

Y D

ista

nce

(RTR

) [m

iles]

Y Distance of Shuttle Relative to Radar (RTR) vs. Time

Truth: Shuttle + SRBMeasured: Shuttle + SRBGated Track 1Gated Measured Data

0 100 200 300 400 500 600-5

0

5

10

15

20

25

30

35

Time since Launch [sec]

Azi

mut

hal A

ngle

(RTR

) [m

iles]

Azimuthal Angle of Shuttle Relative to Radar (RTR) vs. Time

Truth: Shuttle + SRBMeasured: Shuttle + SRBGated Track 1Gated Measured Data

Gating and Association• Perhaps we could gate/associate Z, Y, and Phi?

Radar 1: (xo,yo,zo)=(0,-50,0) [miles]

Page 42: Space Shuttle Debris

Gating and Association

𝑥=𝑅cos (ϕ ) sin (𝜃 )

𝜃=acos ( 𝑦𝑅cos (ϕ ) )

𝑅=𝑧

sin (ϕ )𝑦𝑧ϕ

If we can track in y, z, and we have solved the tracking problem.

Page 43: Space Shuttle Debris

Gating and Association• Perhaps we could gate/associate Z, Y, and Phi?

Radar 1: (xo,yo,zo)=(0,-50,0) [miles]

0 100 200 300 400 500 6000

20

40

60

80

100

120

140

160

180

200

Time since Launch [sec]

Z D

ista

nce

(RTR

) [m

iles]

Z Distance of Shuttle Relative to Radar (RTR) vs. Time

0 100 200 300 400 500 6000

100

200

300

400

500

600

700

800

900

1000

Time since Launch [sec]

Y D

ista

nce

(RTR

) [m

iles]

Y Distance of Shuttle Relative to Radar (RTR) vs. Time

0 100 200 300 400 500 600-5

0

5

10

15

20

25

30

35

Time since Launch [sec]

Ele

vatio

n A

ngle

(RTR

) [m

iles]

Elevation Angle of Shuttle Relative to Radar (RTR) vs. Time

Truth: Shuttle + SRBMeasured: Shuttle + SRBGated Track 1Gated Measured DataGated Track 2

Truth: Shuttle + SRBMeasured: Shuttle + SRBGated Track 1Gated Measured Data

Truth: Shuttle + SRBMeasured: Shuttle + SRBGated Track 1Gated Measured DataGated Track 2

Page 44: Space Shuttle Debris

Success!

Page 45: Space Shuttle Debris

Well… Not Really.• Clearly we made some gross simplifications to the reality of

the situation• We did not use a Doppler radar• We assumed point sources rather than tumbling debris with a

time dependent radar cross section• We didn’t consider the plethora of fuel which is released during

the SRB separation…

• Even in making such simplifications, we didn’t get superb tracks

• We gained a first experience with gating and association, and the difficulties which come along with associating tracks

Page 46: Space Shuttle Debris

Conclusions• Tracking shuttle debris is an extremely important application

of modern radar tracking

• Different radars are used in viewing shuttle debris cross range as compared to down range

• It is rather simple to discuss and understand why gating and association is important, it is quite another to implement it.