Formation Flying Rachel Winters Shunsuke Hirayama Matt Whitten Tsutomu Hasegawa Kyle Tholen Aziatun Burhan Matt Mueller Masao Shimada Shelby Sullivan Tomo Sugano Eric Weber 1 Columbia Disaster • Structural damage to tiles on the inboard leading edge of left wing, sustained during launch • Columbia went on to disintegrate in re-entry • If there had been satellite surveillance of exterior of shuttle, this damage would have likely been noticed and dealt with Rachel Winters (2/32) http://www.spaceref.com/news/viewnews.html?id=733 2 Damage Criteria • Damaged tiles require attention if they are: 0.25 inch on the wing leading edge lower surface (RED) 0.5 inch threshold for nose cap (GREEN) 1 inch major dimension around TPS seals and the wing leading edge upper surface (BLUE) 3 inch threshold for all other TPS surfaces (YELLOW) Rachel Winters (3/32) http://spaceflight.nasa.gov/shuttle/rtf/hill/inspect_repair_sep9_summary_covey.ppt 3 Design • A satellite that will fly as an escort to the space shuttle • Satellite provides visual inspection of shuttle exterior for 24 hour period of time • Satellite will be transported into space on shuttle • Satellite must meet University Nanosat requirements for mass and volume x y Rachel Winters (4/32) z 4 Previous Work • AERCam “Sprint” (NASA) http://spaceflight.nasa.gov/station /assembly/sprint/index.html – Successfully tested on STS-87 for 1.25 hours around the Columbia orbiter in 1997. – Live video feed – Remote controlled – 14 inches, 35 pounds • Mini AERCam (NASA) http://aercam.jsc.nasa.gov/ Rachel Winters (5/32) – Successful ground tests, still under development – Live video feed, including orthogonal view – Remote and supervised autonomous control options – 7.5 inches, 10 pounds 5 Improvements Our design is... – Powered sufficient to operate for 24 hours – Autonomous control – Some supervision is advised to ensure there is no risk of collision with the orbiter – Supervision is only necessary for launch and retrieval Rachel Winters (6/32) 6 Systems Integration & Management Rachel Winters, Matt Whitten Major Tasks: • Expendable vs Recoverable spacecraft • Recovery method design • Determine shuttle interface requirements • Determine picture order Rachel Winters (7/32) 7 Relative Orbit Control & Navigation Kyle Tholen, Matt Mueller Major Tasks: • Determine relative orbit to meet mission requirements • Determine major disturbances from orbit and counteract them • Single vs Multiple spacecraft trade study • Determine thruster equipment • Find Tank size • Determine navigation method Rachel Winters (8/32) 8 Configuration & Structural Design Shelby Sullivan, Eric Weber Major Tasks: • Find camera and lens • Camera field of view analysis • Design structure (material, shape) • Configure component positioning • Mass budget • Solidwork components (Solid modeling) Rachel Winters (9/32) 9 Attitude Determination & Control Shunsuke Hirayama, Tsutomu Hasegawa Major Tasks: • Determine method of attitude control • Single vs Multiple cameras • Determine pointing accuracy necessary • Determine torque disturbances Rachel Winters (10/32) 10 Power, Thermal & Communications Aziatun Burhan, Masao Shimada, Tomo Sugano Major Tasks: • Determine power needed by satellite • Battery only vs Solar Cell + Battery • Define thermal environment (outside and inside sources) • Determine thermal control method • Determine transmission method • Determine differential drag • Integration for CPU Rachel Winters (11/32) 11 Expendable Vs Recoverable • Expendable – Safer, no need to get close to orbiter for recapture – Cost efficient if only 1 mission was planned • Recoverable – Less expensive to reuse – We have a viable method of recovery – It requires reasonable amounts of extra fuel needed – We are able to store back-ups of the images onboard the satellite • We chose a Recoverable design Rachel Winters (12/32) 12 Single Vs Multiple Satellites • Single – Amount of extra fuel needed for plane transfers is relatively small – We have the ability to “see” entire shuttle with only 1 satellite – Safer, there are less satellites flying around orbiter • Multiple – Less fuel is necessary – Easier orbit to control, no plane transfer needed • We chose a Single Satellite design Rachel Winters (13/32) 13 Solar Cells + Battery Vs Battery Only • Solar cells + Battery – Smaller battery needed – Longer satellite lifetime – Less massive • Battery Only – No need for attitude control, no solar cells to point at sun – Electrical storage independent of orbit • We chose a design with Solar Cells and Battery Rachel Winters (14/32) 14 Single Vs Multiple Cameras • Single – We have the ability to control attitude – Reduces power, mass, and volume necessary for multiple cameras • Multiple – Less accurate attitude sensors would be necessary – Larger field of view, it would be easier to point the camera at the orbiter • We chose a Single Camera design Rachel Winters (15/32) 15 Design Walkthrough • Assumptions and Requirements – Mass restricted to 50 kg – Volume restricted to 60x60x50 cm3 – Necessary to operate for 24 hours, power source must last this long – Must be able to detect damage as small as 1/4 inch (0.635 cm) • Derived from Orbiter damage criteria – Assumed a LEO orbit that was the same as the ISS orbit • Interest: Orbiters and ISS use this orbit for extended periods of time, small modifications to our design can allow us to orbit the ISS or orbiters other than the shuttle – Assumed our shuttle-relative orbit was within safety standards (rmin = 118 m, rmax = 237 m) – Relative velocity of less than 4 cm/s for retrieval Rachel Winters (16/32) 16 Orbit Design Created an orbit – Accuracy of known location/velocity was important – Maintain a “safe” distance away from the shuttle – Remain within camera range Rachel Winters (17/32) 17 Orbit Design continued • Determined orbital disturbances – J2 disturbances – Drag differences in Low Earth Orbit – This determined the amount of thrust needed to maintain desired orbit Rachel Winters (18/32) 18 Orbit Design continued • Plane change decided – Used a plane change to keep the number of satellites to 1 (Trade Study) – Affects the amount of cold gas needed Rachel Winters (19/32) 19 Satellite Design • We determined the type of attitude control we wanted: zero-momentum – It allows us to control all three axes of rotation – We needed to be able to point at the shuttle at all times – This determined the mode of control: Reaction Wheels • We already needed control to counteract torque disturbances – Aerodynamic torque – Gravity-Gradient torque – Solar radiation pressure torque Rachel Winters (20/32) 20 Satellite Design continued • To reduce the magnitude of disturbance torque, we chose to design the center of mass to be in the center of the satellite • We chose to make the satellite a 50x50x50 cm cube to facilitate rapid design Rachel Winters (21/32) 21 Satellite Design continued We modeled the components and satellite in Solidworks to map out what we wanted it to look like Rachel Winters (22/32) 22 Satellite Design continued • Thermal control designed – Found the temperature range of the environment – Found the temperature tolerance of hardware – Used the component layout to determine necessary thermal control within satellite Rachel Winters (23/32) 23 Satellite Design continued • Power subsystem – Approximated power drain with major components – Made early approximation on battery/solar cell requirements – Determined number of solar cells we can support • Amount of power solar cells could absorb – Found power demand including all components • Max: 87.6 W, Ave: 40.2 W – Determined back-up battery requirements Rachel Winters (24/32) 24 Power Distribution Camera ** 20% ADCS 5% Orbit Control (FCS) 5% OBC 3% Power management 7% Communication 4% Camera (idle) 3% Thermal control ** 13% Propulsion ** 40% ** non continuous operation Rachel Winters (25/32) 25 Mass Budget Piece Dimensions (cm) Mass (g) Volume(cm^3) Thruster x4 1.5D x 3.0 23 2.8 N2 Tank 12.0D x 28.9 4000 2251.5 Camera 15.0 x 15.0 x 4.0 960 900.0 Lens 16.0D x 35.0 1270 4889.2 Battery x2 15.0 x 7.0 x 7.0 1400 735.0 Electronics Controller 30.0 x 30.0 x 7.0 3500 6300 CPU 9.6 x 9.1 x 2.0 96 174.7 Star Tracker 5.4 x 5.4 x 15.6 600 1011.5 Reaction Wheel 11.8 x 11.8 x 11.5 1986 1272.6 Gyro 9.9 x 11.7 x 3.1 439 359.0 GPS Comp x2 14.0 x 8.9 x 11.7 450 1458.0 GPS antennas x2 3.8 x 2.9 x 1.1 20 11.6 Solar Cell Panels x5 48.0 x 48.0 x 0.5 3365 1152.0 Aluminum Panel 48.0 x 48.0 x 0.6 3110 1152.0 Satellite Structure 50.0 x 50.0 x 50.0 7434 125000.0 Mass of Hardware Extra Parts (conservative estimate) Rachel Winters (26/32) Total 44.0 kg 5 kg 49.0 kg 26 Hardware determination • Camera & Lens – MegaPlus – Small mass; operable in space conditions – This determined an orbit range to stay within – Able to capture 39% of shuttle at 180 m separation • Transmitter – Zonet Wireless LAN Adaptor http://www.amazon.com/802-11G-Wireless-Adapt-FROM100Meters/dp/B000MN8MV4 Rachel Winters (27/32) – Able to transmit large amounts of data over orbit range – Operating range up to 300 m – Connects with USB port – Orbiter must also be connected to wireless network 27 Hardware continued • Star tracker – Sun Space – Very accurate • within .001 degree • 0.1 degree accuracy needed – Must not be exposed to sunlight • Gyro – Sun Space – Adds accuracy to attitude determination – Part of the Reaction Wheel system, separate casing Rachel Winters (28/32) 28 Hardware continued • Reaction Wheel Assembly – Sun Space – Keep shuttle in field of view – Induce up to 50 mNm of Torque – Includes 3 wheels with 3-axis control • CPU – Arcom Viper – Provides computer processing for • attitude and orbit control • picture and transmission commands – Includes two USB ports • Used for transmitter • Possible picture storage Rachel Winters (29/32) 29 Hardware continued • CDGPS - NovAtel – Carrier Phase Differential GPS determines shuttlerelative location and velocity – Light weight – Includes two antennas, two receivers Receiver Rachel Winters (30/32) Antenna 30 Hardware continued • Thrusters - MOOG – Needed to make orbital changes – 4 Thrusters aligned with the center of mass – Cold gas thruster system • Gaseous Nitrogen • Tank - Airhog – Pressurized to about 21 MPa – 1700 cm3 volume Rachel Winters (31/32) 31 Hardware continued • Battery - Saft – Satellite needs power to operate for 24 hours – Use solar cells minimize battery demand – 2 Batteries for redundancy – 1 hour charging time, recharges to 75% – Lithium-ion cell batteries • Heater – Some devices are temperature sensitive – Maintains temperature of satellite within allowable range Rachel Winters (32/32) 32 Configuration and Structural Design Eric Weber • Tasks – – – – – – Preliminary hardware research Preliminary transmission research Materials Research Solid Modeling Satellite Configuration Kept Mass Budget Total Hours: 75 Eric Weber (1/14) 33 Configuration and Structural Design • Design Requirements – University Nanosat • Must be less than 50x60x60 cm • Must be less massive than 50 kg – Mission specific • Must withstand mission of 24 hours Eric Weber (2/14) 34 Configuration and Structural Design • Derived Requirements and Goals – Center of mass to be within 1.5 cm of geometric center (ADC) – Camera and Star Tracker looking at 90º angle from each other (ADC) – 4 Thrusters (ADC/Orbit) • Thrust line on the same plane • Through center of mass • At 90 º angles from the camera Eric Weber (3/14) 35 Configuration and Structural Design • Derived Requirements and Goals (cont.) – Solar cell panels on all faces except camera face (Power) – Attempt to keep components away from satellite walls (Thermal) Eric Weber (4/14) 36 Configuration and Structural Design • Must be less than 50x60x60 cm 50 cm 50 cm 50 cm Eric Weber (5/14) 37 Configuration and Structural Design Piece Dimensions (cm) Mass (g) Volume(cm^3) Thruster x4 1.5D x 3.0 23 2.8 N2 Tank 12.0D x 28.9 4000 2251.5 Camera 15.0 x 15.0 x 4.0 960 900.0 Lens 16.0D x 35.0 1270 4889.2 Battery x2 15.0 x 7.0 x 7.0 1400 735.0 Electronics Controller 30.0 x 30.0 x 7.0 3500 6300 CPU 9.6 x 9.1 x 2.0 96 174.7 Star Tracker 5.4 x 5.4 x 15.6 600 1011.5 Reaction Wheel 11.8 x 11.8 x 11.5 1986 1272.6 Gyro 9.9 x 11.7 x 3.1 439 359.0 GPS Comp x2 14.0 x 8.9 x 11.7 450 1458.0 GPS antennas x2 3.8 x 2.9 x 1.1 20 11.6 Solar Cell Panels x5 48.0 x 48.0 x 0.5 3365 1152.0 Aluminum Panel 48.0 x 48.0 x 0.6 3110 1152.0 Satellite Structure 50.0 x 50.0 x 50.0 7434 125000.0 Mass of Hardware Extra Parts (conservative estimate) Eric Weber (6/14) Total 44.0 kg 5 kg 49.0 kg 38 Configuration and Structural Design • Must withstand mission of 24 hours – Short satellite mission time – Satellite is to be carried up with shuttle • Greatest force < 50 N – Material Selection • Aluminum 6061 T6 – Availability – Cheap – Adequate Eric Weber (7/14) 39 Configuration and Structural Design • Center of mass calculation N xcm m x i i i 1 M • SolidWorks can calculate these numbers – Iterative process to find an adequate center of mass • Center of mass location offset from geometric center – X = 0.29 cm – Y = 0.15 cm – Z = 0.01 cm Eric Weber (8/14) 40 Configuration and Structural Design Eric Weber (9/14) 41 Configuration and Structural Design • Camera and Star Tracker looking at 90º angles from each other Thrusters • 4 Thrusters facing each other with thrust line through the center of mass at 90 º angles from the camera Eric Weber (10/14) 42 Configuration and Structural Design • Solar cell panels on all sides except camera side Eric Weber (11/14) 43 Configuration and Structural Design • Attempt to keep components away from satellite walls (Thermal) Eric Weber (12/14) 44 Configuration and Structural Design • All requirements and goals were met Must be less than 50x60x60 cm Must be less massive than 50 kg Must withstand mission of 24 hours Center of mass is to be within 1.5 cm of geometric center Camera and Star Tracker looking at 90º angle from each other 4 Thrusters facing each other with thrust line through the center of mass at 90 º angles from the camera Solar cell panels on all sides except camera side Attempt to keep components away from satellite walls Eric Weber (13/14) 45 Configuration and Structural Design • Recommendations for Future Work – Thin out aluminum frame and supports • For lower mass – Model small parts • For more accurate model Eric Weber (14/14) 46 Shelby Sullivan Major Tasks: Camera and Lens Determination Picture Quality Analysis Solidmodeling Satellite Configuration Hours Worked: 78 Shelby Sullivan (1/17) 47 Camera MegaPlus II EP1600 16 Megapixel 4872 x 3248 Three sensor grades for “demanding applications” Selectable 8, 10, or 12 bits/pixel “Temperature Resistant” construction Shelby Sullivan (2/17) 48 Lens Canon EF 400mm f/4 DO IS USM • • • • Angle of view – 6.2° x 4.1° Length – 24 cm Mass – 2 kg Fixed focal length – Little to no moving parts – Higher vibration resistance – Higher temperature resistance Shelby Sullivan (3/17) 49 Field of View Shelby Sullivan (4/17) 50 Picture quality versus Distance relationship Distance vs Pixels per meter 400mm 500 450 Pixels per meter 400 350 300 250 200 150 100 50 0 0 200 400 600 Distance (m) 800 1000 1200 51 Discovery photograph from ISS during 2005 rendezvous • 225 Pixels per Meter • 3 cm gap filler protrusion • ~3x1 cm chip in tile • Both points repaired on following space walk • Equivalent to FF satellite ~240m from shuttle with current camera/lens configuration 52 Ceramic tile embedded in an oak tree from the shuttle Columbia Shelby Sullivan (8/17) 53 Same tile reduced to 250 pixels/meter Equivalent to FF satellite 180 meters from shuttle ~1cm chips still identifiable Shelby Sullivan (9/17) 54 Full shuttle in field of view vs. Altering the pointing angle • Shuttle ~ 37m in length • 250 pixels/meter requirement • To obtain similar quality images with full shuttle in FoV requires 9250 horizontal pixels Equivalent to 57 mega pixel camera *Independent of lens and distance from shuttle Shelby Sullivan (10/17) 55 Full shuttle in field of view vs. Altering the pointing angle • Take multiple pictures from the same location while altering pointing direction • All pictures taken from same distance to allow for fixed focus lens • Current configuration 250 pixels/meter obtained at 180 meters from shuttle. Shelby Sullivan (11/17) 56 ~180m From Shuttle • ~Cross-sectional are of shuttle – 640 m^2 • Field of View area – 252 m^2 • ~39% of shuttle captured per photo • Allowing for overlap – Take 9 pictures at each location 180m from shuttle Shelby Sullivan (12/17) 57 Imaging Sequence First 6 of 9 pictures shown 2.8 degrees horizontal shift or 0.7 degree vertical shift between pictures Shelby Sullivan (13/17) 58 Pointing Accuracy Required Horizontal Angle < Vertical Angle Shelby Sullivan (14/17) 59 Orbital Position for Pictures Amount of Shuttle Seen over 1 Period 70 60 % Shuttle Seen 50 40 30 %shuttle seen 180 Meters from Shuttle 20 10 0 0 50 100 150 200 250 300 350 400 1/360 of a Period Shelby Sullivan (15/17) 60 Final Picture Information • Distance of 180m obtained at ±37° from apex • 250 Pixels/meter – Allow for ~1cm imperfections • 9 Pictures per point – Allowing for 1.6° error in accuracy • 4 Points per orbit – Giving total shuttle coverage from all sides • 16 Orbits per mission • Total of 576 pictures ~9 Gigabytes of data Shelby Sullivan (16/17) 61 Conclusions and Recommendations Conclusions • Increased image quality over previously used methods • Full shuttle coverage from multiple vantage points Recommendations • Implement automatic focusing lens for taking pictures at multiple distances • Simulation of entire image taking sequence Shelby Sullivan (17/17) 62 Kyle Tholen • Major tasks: – Method for Navigation – Orbit Determination – Estimate Delta V Requirements for Orbit Transfers • Hours Worked: 80 Kyle Tholen 63 Navigation • Three Options: – Global Positioning System (GPS) – Differential Global Positioning System (DGPS) – Carrier Phase Differential Global Positioning System (CDGPS) Kyle Tholen 64 GPS • GPS can be used to determine the satellite’s position and velocity • GPS satellites transmit two signals: – Precise Position Service (PPS) • Very accurate • Restricted to military applications – Standard Position Service (SPS) • Available for civilian use • Not accurate enough for our application Kyle Tholen 65 DGPS • Much more accurate than GPS • Requires a known, fixed position (Space Shuttle) • Compares the signals that satellite and shuttle receive to eliminate errors • In theory it can be very accurate • In practice, sometimes only accurate to within 50 meters Kyle Tholen 66 CDGPS • Uses both PPS and SPS signals • Compares the signals that the satellite and the shuttle receive • Most commonly used form of GPS in LEO • Demonstrated accurate to within 5 cm Kyle Tholen 67 GPS Conclusions • Use CDGPS • Use NovAtel’s Superstar II GPS card – Supports CDGPS – Low power consumption Kyle Tholen 68 Orbit Determination • Used Clohessy Wiltshire equations to analyze orbits • Need a minimum of two orbits to see shuttle from all angles • Orbits achieved through small changes in: – Eccentricity, de = .000026 – Inclination, di = .0004 – Right Ascension, dRA = .0014 Kyle Tholen 69 Delta V Estimation • Separation distances achieved: – Max = 237 m – Min = 118 m • Six Impulses – – – – – – First Impulse = .246 m/s Second Impulse ~ 0 Third Impulse = .657m/s Fourth Impulse ~ 0 Fifth Impulse = .295 m/s Sixth Impulse ~ 0 Kyle Tholen 70 Rendezvous • Need satellite to be at a distance of 37.59 meters • Shuttle then uses robotic arm to grab satellite • Relative speed between the two = .0333 m/s Kyle Tholen 71 Single vs. Multiple Satellites Parameter Single Multiple Cost Less More Delta V requirements More Less Safety More Less Ability to perform the mission Capable Capable 72 Cost • Identical systems and satellite configuration – – – – – Structure Communications Propulsion Power and thermal management Mission cost nearly doubles with additional satellite 73 Delta V Requirements • Single Satellite – Delta V due to orbit transfers – Delta V for orbit maintenance • Multiple Satellite – Same Delta V for orbit maintenance – No orbit transfers required – Delta-V for transfer (.606 m/s) is small compared to delta-V for orbit maintenance (1.36 m/s) 74 Safety and Mission Performance • Safety – Fewer satellites, less chance for guidance malfunction or shuttle contact • Performance – Both configurations can perform mission requirements – One satellite may be able to accomplish mission faster 75 Conclusions • Single satellite is: – – – – More cost effective Slightly larger Delta V requirement Safer Capable of performing mission • Single satellite is the optimal choice 76 Future Work • Create more detailed model of orbit, including: – Differential drag correction impulses – Random errors due to inaccuracy in position determination Kyle Tholen 77 Matt Mueller Major Tasks: • Effect of Earth’s oblatness on relative distance to shuttle • Propulsion method, selection of propulsion system and components • Demonstration of relative orbit Total hours worked: 85 hrs 78 Effect Of Earth’s Oblatness • Causes secular drift in right ascension, argument of perigee and mean anomaly J2R 3 dot cos i 2 2 7/2 2 (1 e ) a J 2 R 5 2 3 dot sin i 2 2 2 7 / 2 2 (1 e ) a 2 /a 2 J2R 3 a 2 2 Mdot 3 sin i 2 1 e 4 a2 1 e2 2 79 Matt Mueller Earth’s Oblatness Continued • Magnitude of changes in orbital elements highly dependent in inclination angle 6 Degrees/12 hrs 4 2 0 0 20 40 60 80 100 RA AP MA -2 -4 -6 Inclination (deg) Matt Mueller 80 Relative Separation • Adjustment of inclination angle at ½ mission lifetime causes changes to go to zero • Only concerned with relative separation for 12 hr period .000019 .000051 M .000028 • Maximum relative distance change of 3.4 m • Too small to justify for orbit correction 81 Matt Mueller Propulsion System Selection Requirements • Thrust rating capable of providing short burn times • Small and light weight MOOG 58-118 Cold Gas Thruster • Specific impulse = 60 sec • Thrust = 3.6 N • Weight .023 kg 82 Matt Mueller Thruster Selection • Burn times dependent on thrust, mass of satellite and delta-V requirement Satellite specifications F V T M M = 50 kg delta-V max = .2119 m/s • Delta-T = 2.94 sec • MOOG model 58-118 fulfills all requirements 83 Matt Mueller Gas Tank Sizing Requirements • Fairly small size to fit nanosat requirements • High pressure capability • Thermal environment from -82.15 to 77.2 degrees Celsius Sizing • Pressure increases with temperature, T = 77.2 deg • Mass of gas, tank operating pressure and temperature determine size • N2 gas gives reasonable specific impulse and is inert 84 Matt Mueller Tanks sizing continued For orbit transfer and drag Specifications • Delta-m = .167 kg m = 50 kg •Assume S.F. = 2 •Total mass = .333 kg • At 20.68 MPa, V = 1700 cm^3 • Volume requirement met to fulfill requirements Specific impulse = 60 sec Total delta-V = 1.97 m/s m 1 e m V I sp g 0 m PV RT M 85 Matt Mueller Orbit Modeling Formation Flying Simulation • Supplied code allowed for 3D relative orbit modeling • Varied orbital elements, relative ellipse parameters, mass, area, thrust, etc. • Visualization of relative motion, orbit track over time, estimation of burn times for orbit transfer and orbit keeping. 86 Matt Mueller Attitude Accuracy and Orbit Control • Accuracy error, α creates undesired delta-v • α = .0061 deg • Delta-v = .003134 mm/s • Analysis using Hill’s equations provide impact on relative motion 87 Matt Mueller Attitude Accuracy and Orbit Control -4 x 10 3 2 x (radial) [km] 1 0 -1 -2 -3 -2.0004 -2.0003 -2.0002 -2.0001 y (along-track) [km] -2 -1.9999 • Causes 25 cm drift in along-track direction over 6 orbits • Negligible, total mission lifetime drift of < 65 cm • 10x less accurate sensor causes 38 m drift 88 Matt Mueller Conclusions and Recommendations Conclusions • No need to make orbit keeping maneuvers due to J2 • Cold gas thruster selected fulfills requirements, allows for short burn times • Relative elliptical orbit verified • Estimated drift due to inaccuracies in attitude determination negligible Future Work • Select tank material suitable for thermal environment • Continue simulation and determination of burn times necessary to compensate for differential drag. 89 Matt Mueller Major tasks Tsutomu Hasegawa (Shunsuke Hirayama) • • • • • Determine method of attitude control Single VS Multiple cameras Determine pointing accuracy necessary Determine torque disturbances Determine equipments to keep the shuttle in our Field of View. • Total hours worked: 85 hours each 90 Tsutomu Hasegawa Why Zero-momentum? Type D of C Gravity inclination 0 cost Accuracy Low Low Spin Dual Spin Attitude Change Heat generation Can't change Small Other None Difficult 1 Nutation Bias Momentum Weak from disturbance For small Dumper Large Controled bias Components 2 momentum 3 High High Easy Mass Wheel communication Sat. Bias+Roll Reaction Weak from disturbance. For Wheel communication Sat. Don't use Momentum Bias+Roll/Yaw LEO Reaction Strong from disturbance For Large Sat. LEO Zero momentum Wheel is OK Zero momentum: Each axis is independent. It is easy to control. 91 Tsutomu Hasegawa Attitude Determination • Fixed • Pointing the same direction x y Tsutomu Hasegawa z 92 Pointing Direction Put conditions from orbit control team into Joe’s code. 93 Tsutomu Hasegawa Pointing Direction The Satellite orbit Pointing directions Pointing error The Center of the shuttle • There are pointing errors Tsutomu Hasegawa 94 Pointing Error Worst case: Maximum pointing error is about 33 degrees. 95 Tsutomu Hasegawa Multiple Camera Case when is larger than Capture angle, Field of View, Length of the shuttle (The longest) r • To get large , we should use multiple cameras. • It is easy to control, and need more space for camera. Especially, when 33 Tsutomu Hasegawa 96 Single Camera Case when is smaller than Field of View, Capture angle, r Worst case: r 220[m] 18.6 6.195 • Because of small , we have to change the direction. • Need more accurate sensors. 97 Tsutomu Hasegawa Multi VS Single camera • Multiple camera Easy to control Need space to put camera • Single camera Need to control to point the shuttle. 98 Tsutomu Hasegawa Major tasks Shunsuke Hirayama (Tsutomu Hasegawa) • • • • • Determine method of attitude control Single VS Multiple cameras Determine pointing accuracy necessary Determine torque disturbances Determine equipments to keep the shuttle in our Field of View. • Total hours worked: 85 hours each Shunsuke Hirayama 99 Disturbance Aerodynamic torque: Taero rcp Faero Solar Radiation Pressure Torque: Tsolar rcp 1 K A Gravity-Gradient Torque: Magnetic torque: Is c Tgravity 3n 2 rˆ I rˆ Tmagnetic M B Ttotal,dist Taero Tgravity Tsolar Tmagnetic 0.0373 3 10 0.5070 Nm 0.4521 Shunsuke Hirayama 100 Changing Orbit Requirement from 1 to 2 90 T Orbit 1: Blue Orbit 2: Red 90 min 4 Pointing thrust req 90 t deg/s 90 90 min 4 0.0666 deg/s 101 Shunsuke Hirayama Pointing requirement Pointing camera: req Pointing requirement : req 15 shuttle req FOV : 6.20 6.20 5 1.24 102 Shunsuke Hirayama -Simulation for attitude controlQuaternion Rate limit : 0.015 rad/s Control angle : 1.24 deg 103 Shunsuke Hirayama Angular error input Stable after 100 sec 104 Shunsuke Hirayama Reaction wheel Tcon. max 4 m Nm TRW . max 50 m Nm ReactionWheelsR03 50mNm R03 Shunsuke Hirayama (Sun space) 105 Attitude sensor Accuracy of sensor : req 1 10 req 0.124 Star tracker: star tracker R01 ( Sun space) sensor 0.001 sensor req 106 Shunsuke Hirayama Conclusion • Fixing pointing error : Satisfied • Pointing accuracy necessary : Satisfied • Equipments to keep the shuttle in our FOV are determined • We need to survey what to do when the side with star tracker accidentally see the sun directly. • We need to simulate combined cases. • We need to concern electric power. 107 Shunsuke Hirayama Systems Integration & Management Matthew S. Whitten Major Tasks: – Recoverable v. expendable trade study – Research and design recovery method Total Hours: 79 hours 108 Matthew Whitten (1/12) Trade Study Parameter Recoverable Expendable Single Mission Cost More Less Multiple Mission Cost Less More Quality/Accuracy More Less Design Difficulty More Less Safety Less More 109 Matthew Whitten (2/12) Trade Study • Single Mission v. Multiple Missions – A single mission satellite will cost less as it does not need the final transition back to the shuttle. – A recoverable satellite is ideal for multiple missions because the cost of two satellites would be more than the extra cost (such as operating the robotic arm to capture the satellite at the end of its mission) needed to make the satellite recoverable. 110 Matthew Whitten (3/12) Trade Study • Components and Quality/Accuracy – Higher quality and more accurate components can be placed in a recoverable satellite. – Expendable depends on satellite sending images back to shuttle. 111 Matthew Whitten (4/12) Trade Study • Safety of Design – The design difficulty of a recoverable satellite is greater than that of an expendable due to the capture phase. – Other than the possibility of additional space debris, the expendable satellite is a safer design than recoverable because it does not approach the shuttle’s vicinity. 112 Matthew Whitten (5/12) Trade Study Conclusion • Formation flying satellite assumptions – Used defensively – Sustain little damage – Provide a service for any re-entering vehicle • Recoverable satellite reasoning – Mission requires high quality components – Multiple missions are likely 113 Matthew Whitten (6/12) Recovery Method Requirements – Shuttle is 37 m in length by 17.3 m in height – Capture orbit must be outside the shuttle’s radius with certainty to avoid collision – Satellite must be moving with a velocity of zero relative to the shuttle – Must have correct attitude control when entering capture sequence 114 Matthew Whitten (7/12) Recovery Method Continued • Calculated capture orbit radius Rc = L/2 + H/2 + 10 m (error) = 37.59 m • Parameters for capture orbit (with assistance of ADCS and MATLAB code): e = 0.0021785 Right Ascension (deg) = 124.747 Argument of perigee (deg) = 127.754 True Anomaly (deg) = 180 • Worst case relative recovery velocity V (with 2% error) = 0.036 m/s = 3.6 cm/s [Calculated with distance and rotation rate geometry and compared with V from MATLAB code of 3.3 cm/s] 115 Matthew Whitten (8/12) Recapture Method Continued Length 45 feet Diameter 15 in Weight 911 lb Number of joints Six joints (two shoulder joints, one elbow joint, and three wrist joints) Max handling capacity 266 tons (in space) Max velocity of end of arm When the arm is not gripping anything : 60 cm/sec When the arm is gripping an object : 6 cm/sec Max rotational speed Approx. 5 degree/sec Boom material Graphite-epoxy compound Matthew Whitten (9/12) Robotic arm 116 Recovery Method Continued End Effect 117 Matthew Whitten (10/12) Recover Method Continued 118 Matthew Whitten (11/12) Conclusions • It is most cost effective to have recoverable satellites • Using an end effect on the robotic arm with an imagery boom will be effective in capturing the satellite Future Work • Simulate capture • Automate end effect to not depend on human control 119 Matthew Whitten (12/12) COMM Subgroup Tomo Sugano Major Tasks: – Started out by helping Relative Orbit team with differential delta-V requirement and GN2 mass – Communication Scheme of the mission – System Integration (on-board flight computer) Hours Worked: 60 Tomo Sugano (1/16) 120 Differential Drag Compensation • Ballistic coefficients different between satellite and shuttle • Difference in drag forces (i.e. acceleration) exists. • (B-Coeff. of Shuttle) >> (B-Coeff. of Satellite) • Satellite must expend Delta-V to keep up with space shuttle. Tomo Sugano (2/16) 121 Computations • Atmospheric drag acceleration (Da): • Drag acceleration difference between the two spacecraft: STS: S = 64.1 m2, CD = 2.0, m = 104,000 kg (orbiter typical) Sat: S = 0.385 m2 (nominal), CD = 3.0 (worst case), m = 50 kg Tomo Sugano (3/16) 122 Computations (cont’d) • Orbiter speed (assuming circular orbit) • Definition of Delta-V (or specific impulse) • Mass expenditure of propellant (i.e. GN2 cold gas) Tomo Sugano (4/16) 123 Results • Using Isp = 65 sec; assume 50 kg for satellite weight • Conclusions - At the typical 300 km LEO, Delta-V for 1 day mission is 1.36 m/s - Satellite will need at least 107 grams of GN2 to compensate drag - In addition to this Delta-V, we have orbit transfer Delta-V and ADCS Delta-V. How we determined tank size. Tomo Sugano (5/16) 124 COMM: Overview Satellite must be able to: Satellite Wireless LAN Transceiver • Receive data from the space shuttle Tx • Transmit data to the space shuttle Space Shuttle Orbiter Tomo Sugano (6/16) Satellite Computer Rx Receive Commands Transmit Photos 125 COMM: Operational Schematic Satellite Image Buffer Space Shuttle Tx Downlink Uplink Rx FCS CPU CPU Rx Archival Memory LAN Uplink Downlink Tx LAN RAM Data Flow Tomo Sugano (7/16) 126 COMM: Communication Devices Local Area Network (LAN) Protocol is utilized. Satellite - A Zonet light-weight wireless LAN transceiver Space Shuttle - An integrated wireless LAN transceiver of a Panasonic Toughbook Tomo Sugano (8/16) 127 COMM: Zonet Wireless LAN USB Adapter • • • • • • • Model: Zonet ZEW2502 802.11g USB Adapter Dimensions: 93.5 x 27.5 x 10 mm Mass: 32.0 grams Transfer Rate: 54Mbps (nominal) Uplink (Receive): 260 mW Downlink (Transmit): 350 mW Frequency: - 2.412GHz ~ 2.4835GHz - S-band (space approved, open band) Tomo Sugano (9/16) 128 COMM: Antenna Modification • Zonet LAN adapter uses “Microstrip antenna.” • Compact and reliable for short-distance communication. • Directly attach antenna on the face of satellite Tomo Sugano (10/16) 129 COMM: Image Transfer • Estimated size of each image: 14-16 Mb • Our LAN protocol and devices allow nominal 54Mbps with pier-to-pier method. • Virtually no cause of appreciable noise in space between satellite and space shuttle • Transfer time of each image: less than a few seconds. • Image buffer need not to be large - A few GB USB jump drive recommended. Tomo Sugano (11/16) 130 Selection of System Integration CPU • System integration is core of the FCS VIPER CPU board top view Selection of flight computer CPU • Arcom VIPER 400 MHz CPU found viable • VIPER is suitable because of its - Light weight, 96 grams - Operable temperature range -40 C to + 85 C - Windows Embedded feature easy to program - Computation speed, 400 MHz - Memory capacity, up to 64MB of SDRAM - 5 serial ports - USB ports enables utilization of Zonet LAN adapter & jump drive Tomo Sugano (12/16) 131 Control System Integration - Overview • • • • ADCS and Orbit Rectification Computations Execute ADCS and Orbit Rectification In-flight image capture handling Data archiving Tomo Sugano (13/16) 132 System Integration – Overall Scheme Flight Computer POWER FCS COMM ADCS Output Sensors Orbit Control Output Other Outputs Tomo Sugano (14/16) 133 System Integration – Data Connections Star Tracker Spin Wheels Serial 2 Thrusters Serial 3 Gyro Serial 4 GPS Serial 5 Flight Computer Serial 1 FCS PWR Flow Digital I/O POWER Tomo Sugano (15/16) Camera USB 1 Wireless LAN USB 2 Archival Memory 134 Conclusions & Recommendations • Computed GN2 mass for flight • Transmission noise is not an issue • Wireless LAN is an efficient method to meet our needs • CPU has integrated our hardware • Recommend that we monitor remaining GN2 and implement inflight HMCS Tomo Sugano (16/16) 135 Electrical Power System Tasks: Aziatun Burhan - Solar cells & battery vs non rechargeable battery trade study - Update power budget - Solar array & battery sizing - Selection of solar cell & battery - Selection of power management components Hours: 70 hours 136 Overview Mission requirement: • EPS must be able to provide enough power for satellite to operate for 24 hours. Design goal requirements throughout mission operation: • • • • Generate power using solar cells Store power using batteries Regulate power for satellite operation Distribute power to satellite components & hardware 137 Power Budget Subsystem Power consumption (W) Total Power (W) Total Power (with 20% margin) Continuous operation ADCS 4 Orbit Control (FCS) 4 OBC 2 Power management 5 Communication Camera (idle) 3.05 3 21.05 25.26 55 66 73.05 87.66 Non-continuous operation Thermal control 10 Propulsion 30 Camera 15 Total (maximum) 138 Power Consumption Camera ** 20% ADCS 5% Orbit Control (FCS) 5% •Continuous power per one orbit period: 25 W •Maximum power per one orbit period: 87.6 W OBC 3% Power management 7% Communication 4% Camera (idle) 3% •Average power per one orbit period: 40.2W •Average power during daylight: 36 W •Average power during eclipse: 46.5 W Thermal control ** 13% Propulsion ** 40% ** non continuous operation 139 Mission Power Profile Power profile for 24 hours period 70 1 orbit cycle burn Power (W) Image capture 25 shadow Time (s) 140 Power Load Profile 50W 65W In the sun Image capture p 40W o w e r 55W Thermal control In the sun Burn 35W 25W 5400s •Typical orbit •Period: 90 min •No burn for orbit transfer 5400s •Launch orbit •Period: 90 min •1st & 2nd burn is taking place 141 •No picture is taken Power Load Profile 65W In the sun 55W In the sun burn p o w e r 35W •8th orbit cycle •3rd & 4th burn is taking place •16th orbit cycle •5th & 6th burn is taking place 142 Solar cells vs battery • This trade study examines the option of using only non-rechargeable battery versus solar cells & rechargeable battery system as satellite’s power source. • Factors that effect trade study: - Total power consumption and power profile during the mission - Mission life of satellite is at least 24 hours - Mass and area constraints that come from NANOsat requirement. - A source power with small mass & size is desirable - Choice of orbit and type of attitude control. -LEO has the most frequent eclipse. -Altitude and inclination affect the orbital period and shadow time. - Operating environment - Temperature 143 Solar cells vs Battery Factors Solar cell & battery Non rechargeable battery Mass Less More Power/mass High Low Mission length Weeks-months Few hours-one/two days Attitude/Orbit control Dependant Independent Effect of Failure No/less power during eclipse No/less power throughout mission Thermal control Less dependant Dependant Cost/power Low High Structural support None for body mounted solar array None 144 Solar cells •Ultra triple junction Gallium Arsenide solar cell • 28.0 % BOL efficiency •2.31 V, 16.3 mA/cm² ( ~0.96 W/ cell) •2.3g Customized size: 3.69 cm Area per cell: ~ 25cm² 6.85cm 145 Solar cells layout & assembly Sides • 5 identical solar panels • Power source: Direct sunlight at 45 ° angle • 91 solar cells per side (UTJ GaAs) - 13 solar cells per string (column) : 30 V - 7 strings (columns) : 2.85 A • 40.7 Watt per side in the sun • Dimension : 48 cm x 48 cm • Area: 2275 cm² • Total power: 81.4 Watt Assumption: •2 sides are illuminated •Solar flux is at constant value of 1353 W/m^2 •Thermal efficiency, η= 0.74 (assuming hottest temperature =80°C) 146 Rechargeable Batteries • Saft MPS 176065 Lithium-ion cells • 8 cells in series in a battery box • Capacity: 5.8 Ah • Mean voltage: 3.6 V • Battery mass: 1.4 kg (including casing) • Maximum DOD: 75% for <500 cycles • Charging method: Constant Voltage-constant current + balancing Energy storage requirements: Peak power load: ~87.5 W Shadow time: 36 min (maximum) Charging time: 1 hour Charge/Discharge cycle / day: 16 cycles • Space qualified • 2 battery boxes (for redundant operation with one unit failed) Required capacity: 5.7 Ah for 30% DOD 147 Power Output Power per orbit 100 90 80 ideal power from solar panel Power (W) 70 60 50 power from battery discharge at C/2 40 30 20 10 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 time (hour) 148 Power Management & Distribution •SmallSat power management electronics •28V unregulated; MPPT; Modular & Scalable from 20W to 300W •Consist of 3 main elements: - Battery Charge Regulator (BCR) - Power Conditioning Module (PCM) - Power Distribution Module (PDM) 149 Power Distribution Design ADCS DC-DC Step down converter Power Bus (~28 V) COMM FCS OBC Thermal 5V supply line (200-700 mA) DC-DC Step down converter 12 V supply line (170 - 1250mA) Propulsion Payload (Camera) Power management 150 Conclusion • • • EPS can provide enough power for satellite operation. With solar cells & battery as power source, satellite mission can be extended to few days or weeks. Because satellite is recoverable, it is possible to use the satellite a couple of times. Recommendation/Future work • Estimate power from albedo & radiation of the Earth energy. • Optimize the design for power supply - solar cells configuration - battery type & sizing • Analysis on different types of power management & distribution modules. 151 Final Design Review Thermal Control Subsystem Major task: Thermal analysis to maintain all the components of the satellite within the respective temperature limits by passive/active control Hours worked: 200 hours Masao A. Shimada 152 Mission Requirements Mission components * Battery is the thermally critical component. +15 Temp. Limits Range margin Permissible Temp. Range -15C margin Temp. Limits Range for critical component -5 margin Purpose of Thermal Control: To maintain the temperature limits range of each mission component during 24-hour mission 153 Space Thermal Environment • • • • • • Qs : Direct radiation from the Sun Qe : Radiation from the Earth Qa : Solar radiation reflected back by the earth (Albedo) Qi : Heat generation Governing Equation dT Qps : Radiation to Space m Cp Qs Qe Qa Qi Q ps Q pe dt Qpe : Radiation to the Earth Qps Qa Qs Qpe Qe Qi Earth pic: http://palimpsest.typepad.com/frogsandravens/pictures/earth.jpg 154 Approximated ISS Circular Orbit Model Attitude angle s 59.57 Orbit plane Satellite ISS 51.984 (1) Shadow 0 0 Bottom surface o Earth Circular orbit Important constants Solar Plane Altitude 335 km Period 91.22 min Time in shadow * 30.19 min Inclination (ISS) 51.984 deg * Value for a period 155 Thermal Analysis [1] Steady-State analysis for the worst cases [2] First-order dynamic analysis [3] Node analysis for the worst cases I used MATLAB/Simulink® to do the simulations 156 [1] Steady-State Analysis for Worst Cases (1/2) Assumptions 1) Spherical satellite model of the same surface area 3) Constants 4) Parameters Surface Area = 1.5 m^2 Same surface Area Surface Area = 1.5 m^2 2) No Radiation from the satellite to the Earth Qpe = 0 We can change Solar absorptivity and IR emissivity of the surface. Use the values of GaAs solar cells 157 [1] Steady-State Analysis for Worst Cases (2/2) Governing Equation m Cp dT Qs Qe Qa Qi Q ps 0 dt Qps Fps As (T 4 Tsp4 ) Solve for T Results T 327 K 53.85C max Tmin 211.7 K 61.48C T 115.33 •Temperature difference is more than 100 •The result does not satisfy the requirement For further analysis, consider Passive Contorol carefully. If it is not enough, consider Active Control. 158 [2] First-order Dynamic Analysis (1/3) Assumptions 1) 2) 3) Spherical Satellite Model of the same surface area of our CubeSat No Albedo; Qa = 0 Constants Parameters * Passive Control * Active Control Heater generating 10W during in shadow 159 [2] First-order Dynamic Analysis (2/3) Results m Cp dT Qs Qe Qi Q ps Q pe dt One Period (T=91.22min) s 59.57 T [K] Satellite Shadow Qs[W] 0 0 Earth t=0 Qe[W] Qi[W] Tmax = 290K=16.9 Tmin = 277K=3.9 Mission required is satisfied. 160 [2] First-order Dynamic Analysis (3/3) 24 hours Temperature [K] 24-hour (86,400-sec) profile Qs: Yellow Qe: Purple Qi: Blue [W] 161 [3] Node Analysis for the Worst Cases (1/8) Satellite Model Assume no width for each surface x y z Surface 2 always points downward. 162 [3] Node Analysis for the Worst Cases (2/8) Thermal Equilibrium Equation dTi mi C p i Ai S i i Ai I e Fpei ai Ai SFsli Qi dt Qs,i Qe,i Qa,i 4 4 iAi (Ti 4 Tspace ) Fpsi iAi (Ti 4 Tearth ) Fpei Qps,i n n 1 j 1 j 1 Qpe,i Kij (Ti T j ) i j Ai Fij (Ti 4 T j4 ) Conduction between Node i and Node j Radiation between Node i and Node j 163 [3] Node Analysis for the Worst Cases (3/8) Worst-case Hot 135.213 Worst Cases 6.984 Worst-case COLD s Shadow s Unit: [W] Worst-case HOT Worst-case Cold 0 0 Unit: [W] Worst-case Hot 224.787 6.984 164 Earth pic: http://www.bc.edu/schools/cas/geo/meta-elements/jpg/new_earth.gif [3] Node Analysis for the Worst Cases (4/8) Direct Solar Flux (Worst-case HOT): QS 3 198.2W 0 QS 4 253.6W 0 QS1 , QS 2 , QS 5 , QS 6 , QS 7 , QS8 0 2 3 s 1.04rad Radiation from the Earth & Albedo: I calculated the View Factors by T.C.Bannister’s approximation 165 [3] Node Analysis for the Worst Cases (5/8) Passive Thermal Control: •Inside of the satellite and all components are painted with L-300 (Black) •Conductivity between surfaces : K=0.06 •Area of radiator: Qi /QR = 0.35m^2 Active Thermal Control: Heater 10W for BATTERY 166 [3] Node Analysis for the Worst Cases (6/8) 8-Node Simulink Model 167 [3] Node Analysis for the Worst Cases (7/8) Results Worst-case COLD Worst-case HOT 168 [3] Node Analysis for the Worst Cases (8/8) Simulation Results Solid Model Mission Requirements Permissible Temp. Range of each component is in the temperature range from the simulation. Mission Requirements is satisfied. Theoretically, the mission is thermally in safe. 169 Conclusion • Major task (Thermal analysis to maintain all the components of the satellite within the respective temperature limits by passive/active control) has been successfully achieved. However, the results I got are all from “simulation” so I need to do physical experiments for more trusted results. 170 Demonstration 171 Electrical Discharge for Orbit State of Charge of Battery per orbit 80 70 % State of Charge 60 50 charge at 1C 40 discharge at C/2 30 20 10 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Time (hours) 172 Recommendations for Future Work • Reanalyze star tracker positioning • Model small components • Further simulation – – – – Capture Picture taking Impulses Random disturbances • Add redundancy systems/collision avoidance to orbit determination and control to allow for more autonomous operation 173 FMEA Failure Mode Electrical/wiring failure Unable to recover satellite Failure of star tracker (one attitude sensor) Dirt or ice on camera lens Error in focus of lens Collision with Orbiter Likelihood Solution Medium Recover or abandon, Medium Abandon, satellite orbit depending on severity will decay Low – Med Backup sensor (gyro) Low – Med Protective sleeve on lens, until recovery is made debris check pre-launch Low Computerized check Very Low Add failsafe to propel prior to shuttle launch satellite away from shuttle Coronal activity on sun destroys satellite Very Low This is known in advance, plan missions around 174 Thank you! For all your time and assistance. Mr. Surka Joe Mueller Kit Ruzicka 175 Questions? Comments? Formation Flying 176