24 results on '"Winternitz, Luke B."'
Search Results
2. NASA SEXTANT Mission Operations Architecture
- Author
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Yu, Wayne H., Semper, Sean R., Mitchell, Jason W., Winternitz, Luke B., Hassouneh, Munther A., Price, Samuel R., Ray, Paul S., Wood, Kent S., Gendreau, Keith C., and Arzoumanian, Zaven
- Published
- 2020
- Full Text
- View/download PDF
3. NASA Station Explorer for X-Ray Timing and Navigation Technology (SEXTANT) Mission Operations Architecture
- Author
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Yu, Wayne H, Semper, Sean R, Mitchell, Jason W, Winternitz, Luke B, Hassouneh, Munther A, Price, Samuel R, Ray, Paul S, Wood, Kent S, Gendreau, Keith C, and Arzoumanian, Zaven
- Subjects
Astronautics (General) - Abstract
"The Station Explorer for X-Ray Timing and Navigation (SEXTANT) mission is a technology demonstrationenhancement to the Neutron Star Interior Composition Explorer (NICER) mission, a NASA AstrophysicsExplorer Mission of Opportunity to the International Space Station (ISS) that was launched in June of 2017.The NICER instrument is a precision pointing X-ray telescope that provides measurements of neutron stars,which the SEXTANT mission uses to perform autonomous onboard X-ray Pulsar Navigation (XNAV) by usingmilli-second pulsars (MSPs), a category of neutron stars, as timing sources for navigation. By comparing thedetected time of arrival of X-ray photons to a reference of expected pulsar lightcurve timing models, one caninfer a range and range rate measurement based on light time delay. Since both timing and orientationinformation comes from a celestial source, this technology could provide a GPS-like navigation capabilityavailable throughout our Solar System and beyond. Applications that XNAV can support include outer planetand interstellar missions, manned missions, libration orbit missions, and current infrastructure such as the DeepSpace Network (DSN). The SEXTANT team successfully completed a rst demonstration of in-space andautonomous XNAV in November 2017. NICER and SEXTANT have separate teams, with NICER being theprimary team with its own science objectives. Operational modes for both missions must have concurrent andindependent components as well as an integrated ground system. Within this joint mission pro le, SEXTANToperations requires an infrastructure and cadence that is exible to handle concurrent science operations fromthe NICER team, independent autonomous navigation demonstrations, and events within the extensive ISSoperations environment. This paper rst details the infrastructure implemented and its concept of operations.It then describes the operations for the SEXTANT demonstration and lessons learned."
- Published
- 2019
4. NASA SEXTANT Mission Operations Architecture
- Author
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Yu, Wayne H, Semper, Sean R, Mitchell, Jason W, Winternitz, Luke B, Hassouneh, Munther A, Price, Samuel R, Ray, Paul S, Wood, Kent S, Gendreau, Keith C, and Arzoumanian, Zaven
- Subjects
Astronautics (General) ,Spacecraft Instrumentation And Astrionics - Abstract
The Station Explorer for X-Ray Timing and Navigation (SEXTANT) mission is a technology demonstration enhancement to the Neutron Star Interior Composition Explorer (NICER) mission, a NASA Astrophysics Explorer Mission of Opportunity to the International Space Station (ISS) that was launched in June of 2017. The NICER instrument is a precision pointing X-ray telescope that times pulsar sourced photon arrivals which the SEXTANT mission uses to perform autonomous onboard X-ray Pulsar Navigation (XNAV). By comparing the detected time of arrival of X-ray photons to a reference of expected pulsar timing models, one can infer a range and range rate measurement based on light time delay. Since both timing and orientation information comes from a celestial source, this technology could provide a GPS-like navigation capability available throughout our Solar System and beyond. Applications that XNAV can support include outer planet and interstellar missions, manned missions, libration orbit missions, and current infrastructure such as the Deep Space Network (DSN). The SEXTANT team successfully completed a first demonstration of in-space and autonomous XNAV in November 2017. NICER and SEXTANT have separate teams, with NICER being the primary team with its own science objectives. Operational modes for both missions must have concurrent and independent components as well as an integrated ground system. This paper describes on the operational infrastructure and successful operations for performing X-ray Pulsar Navigation with the Station Explorer for X-ray Timing and Navigation Technology (SEXTANT) demonstration. This paper first details the infrastructure implemented, then the concept of operations, and finally the operations for the SEXTANT demonstration and lessons learned.
- Published
- 2019
5. Lunar Navigation Beacon Network Using Global Navigation Satellite System Receivers
- Author
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Anzalone, Evan J, Getchius, Joel W, Leggett, Jared O, Ashman, Ben W, Parker, Joel J. K, and Winternitz, Luke B
- Subjects
Space Transportation And Safety - Abstract
With the increasing traffic in the lunar regime as part of NASA efforts to return humans to the moon. In order to support these missions, new capabilities are needed to support autonomous navigation and inter-asset communication. Additionally, with maturation and flight demonstration of increasingly capable small satellites, there is an opportunity to embed technology into a small spacecraft as part of companion missions. This paper addresses one such architecture, taking advantage of a lunar lander vehicle to host a companion spacecraft to build out lunar navigation and communication capability. The backbone of this spacecraft is the Navigator GPS receiver. This hardware has continually broken records on high altitude GPS coverage and has the potential to support autonomous navigation at lunar distances. This research proposes a large cubesat built around this technology and catching a ride to the moon via a lander mission. The concept of operations includes the spacecraft deploying prior to the lunar sphere of influence and maneuvering to enter into a lunar orbit. With the Navigator receiver, this spacecraft is capable of a large amount of autonomy, with a limited need for ground-based orbit determination. This spacecraft will fly alongside the lander, acting as a navigation reference during cruise, descent, and post-landing for mission validation. To assess this mission scenario, three aspects are covered in detail herein: the feasibility and mission requirements for entering into a lunar orbit given deployment along a lander surface-bound trajectory, the performance capability of the receiver along this transfer trajectory and in lunar orbit, and the ability to support navigation of the lander itself. These three areas are discussed in detail, providing results that support feasibility of the mission and determination of initial requirements.
- Published
- 2019
6. Predicted Performance of an X-Ray Navigation System for Future Deep Space and Lunar Missions
- Author
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Getchius, Joel, Long, Anne, Farahmand, Mitra, Winternitz, Luke B, Hassouneh, Munther A, and Mitchell, Jason W
- Subjects
Space Communications, Spacecraft Communications, Command And Tracking - Published
- 2019
7. GPS Based Autonomous Navigation Study for the Lunar Gateway
- Author
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Winternitz, Luke B, Bamford, William A, Long, Anne C, and Hassouneh, Munther
- Subjects
Communications And Radar ,Engineering (General) - Abstract
This paper describes and predicts the performance of a conceptual autonomous GPS-based navigation system for NASA's planned lunar Gateway. This system is based on the flight-proven Magnetospheric Multiscale (MMS) GPS navigation system, augmented with an earth-pointed high-gain antenna and with an option for an atomic clock. High-fidelity simulations, calibrated against MMS flight data and making use of GPS transmitter patterns from the GPS Antenna Characterization Experiment (ACE) project are developed for operation of the system in the Gateway Near-Rectilinear Halo Orbit (NRHO). The results indicate that GPS can provide an autonomous, realtime navigation capability with comparable, or superior, performance to traditional Deep Space Network approach with eight hours of tracking per day.
- Published
- 2019
8. SEXTANT X-Ray Pulsar Navigation Demonstration: Additional On-Orbit Results
- Author
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Winternitz, Luke B, Mitchell, Jason W, Hassouneh, Munther A, Price, Samuel R, Semper, Sean R, Yu, Wayne H, Ray, Paul, Wolff, Michael, Kerr, Matthew, Wood, Kent S, Arzoumanian, Zaven, Gendreau, Keith C, Guillemot, Lucas, Cognard, Ismael, and Demorest, Paul
- Subjects
Engineering (General) - Published
- 2018
9. SEXTANT X-Ray Pulsar Navigation Demonstration: Initial On-Orbit Results
- Author
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Mitchell, Jason W, Winternitz, Luke B, Hassouneh, Munther A, Price, Samuel R, Semper, Sean R, Yu, Wayne H, Ray, Paul S, Wolf, Michael T, Kerr, Matthew, Wood, Kent S, Arzoumanian, Zaven, Gendreau, Keith C, Guillemot, Lucas, Cognard, Ismael, and Demorest, Paul
- Subjects
Space Communications, Spacecraft Communications, Command And Tracking - Abstract
Millisecond pulsars (MSPs) are rapidly rotating neutron stars that appear to pulsate across the electromagnetic spectrum. Some MSPs have long-term timing stability that rivals that of atomic clocks. Pulse arrival phase can be predicted with great accuracy at any reference point in the Solar System through use of a pulsar timing model on a spacecraft. Comparing observed phase to predictions gives information that may be used in a navigation process. Why X-rays? Some stable MSPs have conveniently detectable X-ray emissions. X-rays are immune to interstellar dispersion effects thought to limit radio pulsar timing models. Highly directional compact detectors possible.
- Published
- 2018
10. New High-Altitude GPS Navigation Results from the Magnetospheric Multiscale Spacecraft and Simulations at Lunar Distances
- Author
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Winternitz, Luke B, Bamford, William A, and Price, Samuel R
- Subjects
Spacecraft Instrumentation And Astrionics - Abstract
As reported in a companion work, in its first phase, NASA's 2015 highly elliptic Magnetospheric Multiscale (MMS) mission set a record for the highest altitude operational use of on-board GPS-based navigation, returning state estimates at 12 Earth radii. In early 2017 MMS transitioned to its second phase which doubled the apogee distance to 25 Earth radii, approaching halfway to the Moon. This paper will present results for GPS observability and navigation performance achieved in MMS Phase 2. Additionally, it will provide simulation results predicting the performance of the MMS navigation system applied to a pair of concept missions at Lunar distances. These studies will demonstrate how high-sensitivity GPS (or GNSS) receivers paired with onboard navigation software, as in MMS-Navigation system, can extend the envelope of autonomous onboard GPS navigation far from the Earth.
- Published
- 2017
11. Lunar Relay Onboard Navigation Performance and Effects on Lander Descent to Surface
- Author
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Small, Jeffrey L., primary, Mann, Laurie M., additional, Crenshaw, Juan M., additional, Gramling, Cheryl J., additional, Rosales, Jose J., additional, Winternitz, Luke B., additional, Hassouneh, Munther A., additional, Baker, Dahlia A., additional, Hur-Diaz, Sun, additional, and Liounis, Andrew J., additional
- Published
- 2022
- Full Text
- View/download PDF
12. Addressing Rank Degeneracy in Constraint-Reduced Interior-Point Methods for Linear Optimization
- Author
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Winternitz, Luke B., Tits, André L., and Absil, P.-A.
- Published
- 2014
- Full Text
- View/download PDF
13. The Neutron Star Interior Composition Explorer (NICER): Design and Development
- Author
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Gendreau, Keith C, Arzoumanian, Zaven, Adkins, Phillip W, Albert, Cheryl L, Anders, John F, Aylward, Andrew T, Baker, Charles L, Balsamo, Erin R, Bamford, William A, Benegalrao, Suyog S, Berry, Daniel L, Bhalwani, Shiraz, Brown, Gary L, Budinoff, Jason G, Cazeau, Thoniel, Chen, Philip T, Fan, Terry W.-M, Gallo, Luis D, Green, Chris M, Ha, Kong Q, Hassouneh, Munther A, Hestnes, Phyllis, Hoge, Lisa J, Jacobs, Tawanda M, Kellogg, James W, Kenyon, Steven J, Kozon, Robert P, Lewis, Jess H, Liu, Kuochia Alice, Manthripragada, Sridhar S, Markwardt, Craig B, Mcginnis, Isaac E, Miller, Roger L, Mitchell, Alissa L, Mitchell, Jason W, Mohammed, Jelila S, Monroe, Charles A, Montt de Garcia, Kristina, Mule, Peter D, Ngo, Son M, Norwood, Dwight A, Okajima, Takashi, Olsen, Lawrence G, Onyeachu, Chimaobi O, Peterson, Jacqualine R, Pham, Karen K, Pollard, Sue E, Powers, Daniel F, Powers, Charles E, Price, Samuel R, Ramirez, Julian B, Rogstad, Eric M, Savadkin, Bruce, Schweiss, Nancy S, Semper, Sean R, Serlemitsos, Peter J, Winternitz, Luke B, Wofford, George I, Wright, Michael R, Yang, Mike Y, and Yu, Wayne H
- Subjects
Astrophysics ,Spacecraft Design, Testing And Performance - Abstract
During 2014 and 2015, NASA's Neutron star Interior Composition Explorer (NICER) mission proceeded successfully through Phase C, Design and Development. An X-ray (0.2{12 keV) astrophysics payload destined for the International Space Station, NICER is manifested for launch in early 2017 on the Commercial Resupply Services SpaceX-11 flight. Its scientific objectives are to investigate the internal structure, dynamics, and energetics of neutron stars, the densest objects in the universe. During Phase C, flight components including optics, detectors, the optical bench, pointing actuators, electronics, and others were subjected to environmental testing and integrated to form the flight payload. A custom-built facility was used to co-align and integrate the X-ray \concentrator" optics and silicon-drift detectors. Ground calibration provided robust performance measures of the optical (at NASA's Goddard Space Flight Center) and detector (at the Massachusetts Institute of Technology) subsystems, while comprehensive functional tests prior to payload-level environmental testing met all instrument performance requirements. We describe here the implementation of NICER's major subsystems, summarize their performance and calibration, and outline the component-level testing that was successfully applied.
- Published
- 2016
- Full Text
- View/download PDF
14. Global Positioning System Navigation Above 76,000 km for NASA's Magnetospheric Multiscale Mission
- Author
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Winternitz, Luke B, Bamford, William A, Price, Samuel R, Carpenter, J. Russell, Long, Anne C, and Farahmand, Mitra
- Subjects
Space Communications, Spacecraft Communications, Command And Tracking - Abstract
NASA's Magnetospheric Multiscale (MMS) mission, launched in March of 2015, consists of a controlled formation of four spin-stabilized spacecraft in similar highly elliptic orbits reaching apogee at radial distances of 12 and 25 Earth radii (RE) in the first and second phases of the mission. Navigation for MMS is achieved independently on-board each spacecraft by processing Global Positioning System (GPS) observables using NASA Goddard Space Flight Center (GSFC)'s Navigator GPS receiver and the Goddard Enhanced Onboard Navigation System (GEONS) extended Kalman filter software. To our knowledge, MMS constitutes, by far, the highest-altitude operational use of GPS to date and represents a high point of over a decade of high-altitude GPS navigation research and development at GSFC. In this paper we will briefly describe past and ongoing high-altitude GPS research efforts at NASA GSFC and elsewhere, provide details on the design of the MMS GPS navigation system, and present on-orbit performance data from the first phase. We extrapolate these results to predict performance in the second phase orbit, and conclude with a discussion of the implications of the MMS results for future high-altitude GPS navigation, which we believe to be broad and far-reaching.
- Published
- 2016
15. A constraint-reduced variant of Mehrotra’s predictor-corrector algorithm
- Author
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Winternitz, Luke B., Nicholls, Stacey O., Tits, André L., and O’Leary, Dianne P.
- Published
- 2012
- Full Text
- View/download PDF
16. Performance Evaluation of Block Acquisition and Tracking Algorithms Using an Open Source GPS Receiver Platform
- Author
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Ramachandran, Ganesh K, Akopian, David, Heckler, Gregory W, and Winternitz, Luke B
- Subjects
Technology Utilization And Surface Transportation - Abstract
Location technologies have many applications in wireless communications, military and space missions, etc. US Global Positioning System (GPS) and other existing and emerging Global Navigation Satellite Systems (GNSS) are expected to provide accurate location information to enable such applications. While GNSS systems perform very well in strong signal conditions, their operation in many urban, indoor, and space applications is not robust or even impossible due to weak signals and strong distortions. The search for less costly, faster and more sensitive receivers is still in progress. As the research community addresses more and more complicated phenomena there exists a demand on flexible multimode reference receivers, associated SDKs, and development platforms which may accelerate and facilitate the research. One of such concepts is the software GPS/GNSS receiver (GPS SDR) which permits a facilitated access to algorithmic libraries and a possibility to integrate more advanced algorithms without hardware and essential software updates. The GNU-SDR and GPS-SDR open source receiver platforms are such popular examples. This paper evaluates the performance of recently proposed block-corelator techniques for acquisition and tracking of GPS signals using open source GPS-SDR platform.
- Published
- 2011
17. SEXTANT X-ray Pulsar Navigation Demonstration: Additional On-Orbit Results
- Author
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Winternitz, Luke B., primary, Hassouneh, Munther A., additional, Mitchell, Jason W., additional, Price, Samuel R., additional, Yu, Wayne H., additional, Semper, Sean R., additional, Ray, Paul S., additional, Wood, Kent S., additional, Arzoumanian, Zaven, additional, and Gendreau, Keith C., additional
- Published
- 2018
- Full Text
- View/download PDF
18. New High-Altitude GPS Navigation Results from the Magnetospheric Multiscale Spacecraft and Simulations at Lunar Distances
- Author
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Winternitz, Luke B., primary, Bamford, William A., additional, and Price, Samuel R., additional
- Published
- 2017
- Full Text
- View/download PDF
19. Global Positioning System Navigation Above 76,000 KM for NASA'S Magnetospheric Multiscale Mission
- Author
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Winternitz, Luke B., primary, Bamford, William A., additional, Price, Samuel R., additional, Carpenter, J. Russell, additional, Long, Anne C., additional, and Farahmand, Mitra, additional
- Published
- 2017
- Full Text
- View/download PDF
20. The Neutron star Interior Composition Explorer (NICER): design and development
- Author
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Gendreau, Keith C., Arzoumanian, Zaven, Adkins, Phillip W., Albert, Cheryl L., Anders, John F., Aylward, Andrew T., Baker, Charles L., Balsamo, Erin R., Bamford, William A., Benegalrao, Suyog S., Berry, Daniel L., Bhalwani, Shiraz, Black, J. Kevin, Blaurock, Carl, Bronke, Ginger M., Brown, Gary L., Budinoff, Jason G., Cantwell, Jeffrey D., Cazeau, Thoniel, Chen, Philip T., Clement, Thomas G., Colangelo, Andrew T., Coleman, Jerry S., Coopersmith, Jonathan D., Dehaven, William E., Doty, John P., Egan, Mark D., Enoto, Teruaki, Fan, Terry W. -M., Ferro, Deneen M., Foster, Richard, Galassi, Nicholas M., Gallo, Luis D., Green, Chris M., Grosh, Dave, Ha, Kong Q., Hassouneh, Munther A., Heefner, Kristofer B., Hestnes, Phyllis, Hoge, Lisa J., Jacobs, Tawanda M., Jørgensen, John Leif, Kaiser, Michael A., Kellogg, James W., Kenyon, Steven J., Koenecke, Richard G., Kozon, Robert P., LaMarr, Beverly, Lambertson, Mike D., Larson, Anne M., Lentine, Steven, Lewis, Jesse H., Lilly, Mike G., Liu, Kuochia Alice, Malonis, Andrew, Manthripragada, Sridhar S., Markwardt, Craig B., Matonak, Bryan D., Mcginnis, Isaac E., Miller, Roger L., Mitchell, Alissa L., Mitchell, Jason W., Mohammed, Jelila S., Monroe, Charles A., de Garcia, Kristina M. Montt, Mule, Peter D., Nagao, Louis T., Ngo, Son N., Norris, Eric D., Norwood, Dwight A., Novotka, Joseph, Okajima, Takashi, Olsen, Lawrence G., Onyeachu, Chimaobi O., Orosco, Henry Y., Peterson, Jacqualine R., Pevear, Kristina N., Pham, Karen K., Pollard, Sue E., Pope, John S., Powers, Daniel F., Powers, Charles E., Price, Samuel R., Prigozhin, Gregory Y., Ramirez, Julian B., Reid, Winston J., Remillard, Ronald A., Rogstad, Eric M., Rosecrans, Glenn P., Rowe, John N., Sager, Jennifer A., Sanders, Claude A., Savadkin, Bruce, Saylor, Maxine R., Schaeffer, Alex F., Schweiss, Nancy S., Semper, Sean R., Serlemitsos, Peter J., Shackelford, Larry V., Soong, Yang, Struebel, Jonathan, Vezie, Michael L., Villasenor, Joel S., Winternitz, Luke B., Wofford, George I., Wright, Michael R., Yang, Mike Y., Yu, Wayne H., Gendreau, Keith C., Arzoumanian, Zaven, Adkins, Phillip W., Albert, Cheryl L., Anders, John F., Aylward, Andrew T., Baker, Charles L., Balsamo, Erin R., Bamford, William A., Benegalrao, Suyog S., Berry, Daniel L., Bhalwani, Shiraz, Black, J. Kevin, Blaurock, Carl, Bronke, Ginger M., Brown, Gary L., Budinoff, Jason G., Cantwell, Jeffrey D., Cazeau, Thoniel, Chen, Philip T., Clement, Thomas G., Colangelo, Andrew T., Coleman, Jerry S., Coopersmith, Jonathan D., Dehaven, William E., Doty, John P., Egan, Mark D., Enoto, Teruaki, Fan, Terry W. -M., Ferro, Deneen M., Foster, Richard, Galassi, Nicholas M., Gallo, Luis D., Green, Chris M., Grosh, Dave, Ha, Kong Q., Hassouneh, Munther A., Heefner, Kristofer B., Hestnes, Phyllis, Hoge, Lisa J., Jacobs, Tawanda M., Jørgensen, John Leif, Kaiser, Michael A., Kellogg, James W., Kenyon, Steven J., Koenecke, Richard G., Kozon, Robert P., LaMarr, Beverly, Lambertson, Mike D., Larson, Anne M., Lentine, Steven, Lewis, Jesse H., Lilly, Mike G., Liu, Kuochia Alice, Malonis, Andrew, Manthripragada, Sridhar S., Markwardt, Craig B., Matonak, Bryan D., Mcginnis, Isaac E., Miller, Roger L., Mitchell, Alissa L., Mitchell, Jason W., Mohammed, Jelila S., Monroe, Charles A., de Garcia, Kristina M. Montt, Mule, Peter D., Nagao, Louis T., Ngo, Son N., Norris, Eric D., Norwood, Dwight A., Novotka, Joseph, Okajima, Takashi, Olsen, Lawrence G., Onyeachu, Chimaobi O., Orosco, Henry Y., Peterson, Jacqualine R., Pevear, Kristina N., Pham, Karen K., Pollard, Sue E., Pope, John S., Powers, Daniel F., Powers, Charles E., Price, Samuel R., Prigozhin, Gregory Y., Ramirez, Julian B., Reid, Winston J., Remillard, Ronald A., Rogstad, Eric M., Rosecrans, Glenn P., Rowe, John N., Sager, Jennifer A., Sanders, Claude A., Savadkin, Bruce, Saylor, Maxine R., Schaeffer, Alex F., Schweiss, Nancy S., Semper, Sean R., Serlemitsos, Peter J., Shackelford, Larry V., Soong, Yang, Struebel, Jonathan, Vezie, Michael L., Villasenor, Joel S., Winternitz, Luke B., Wofford, George I., Wright, Michael R., Yang, Mike Y., and Yu, Wayne H.
- Abstract
During 2014 and 2015, NASA's Neutron star Interior Composition Explorer (NICER) mission proceeded successfully through Phase C, Design and Development. An X-ray (0.2-12 keV) astrophysics payload destined for the International Space Station, NICER is manifested for launch in early 2017 on the Commercial Resupply Services SpaceX-11 flight. Its scientific objectives are to investigate the internal structure, dynamics, and energetics of neutron stars, the densest objects in the universe. During Phase C, flight components including optics, detectors, the optical bench, pointing actuators, electronics, and others were subjected to environmental testing and integrated to form the flight payload. A custom-built facility was used to co-align and integrate the X-ray "concentrator" optics and silicon-drift detectors. Ground calibration provided robust performance measures of the optical (at NASA's Goddard Space Flight Center) and detector (at the Massachusetts Institute of Technology) subsystems, while comprehensive functional tests prior to payload-level environmental testing met all instrument performance requirements. We describe here the implementation of NICER's major subsystems, summarize their performance and calibration, and outline the component-level testing that was successfully applied.
- Published
- 2016
21. Addressing rank degeneracy in constraint-reduced interior-point methods for linear optimization
- Author
-
UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique, Winternitz, Luke B., Tits, André L., Absil, Pierre-Antoine, UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique, Winternitz, Luke B., Tits, André L., and Absil, Pierre-Antoine
- Abstract
In earlier works (Tits et al. SIAM J. Optim., 17(1):119–146, 2006; Winternitz et al. Comput. Optim. Appl., 51(3):1001–1036, 2012), the present authors and their collaborators proposed primal–dual interior-point (PDIP) algorithms for linear optimization that, at each iteration, use only a subset of the (dual) inequality constraints in constructing the search direction. For problems with many more variables than constraints in primal form, this can yield a major speedup in the computation of search directions. However, in order for the Newton-like PDIP steps to be well defined, it is necessary that the gradients of the constraints included in the working set span the full dual space. In practice, in particular in the case of highly sparse problems, this often results in an undesirably large working set—or in an expensive trial-and-error process for its selection. In this paper, we present two approaches that remove this non-degeneracy requirement, while retaining the convergence results obtained in the earlier work.
- Published
- 2014
22. Addressing Rank Degeneracy in Constraint-Reduced Interior-Point Methods for Linear Optimization
- Author
-
Winternitz, Luke B., primary, Tits, André L., additional, and Absil, P.-A., additional
- Published
- 2013
- Full Text
- View/download PDF
23. A constraint-reduced variant of Mehrotra’s predictor-corrector algorithm
- Author
-
Winternitz, Luke B., primary, Nicholls, Stacey O., additional, Tits, André L., additional, and O’Leary, Dianne P., additional
- Published
- 2011
- Full Text
- View/download PDF
24. The Neutron star Interior Composition Explorer (NICER): design and development
- Author
-
den Herder, Jan-Willem A., Takahashi, Tadayuki, Bautz, Marshall, Gendreau, Keith C., Arzoumanian, Zaven, Adkins, Phillip W., Albert, Cheryl L., Anders, John F., Aylward, Andrew T., Baker, Charles L., Balsamo, Erin R., Bamford, William A., Benegalrao, Suyog S., Berry, Daniel L., Bhalwani, Shiraz, Black, J. Kevin, Blaurock, Carl, Bronke, Ginger M., Brown, Gary L., Budinoff, Jason G., Cantwell, Jeffrey D., Cazeau, Thoniel, Chen, Philip T., Clement, Thomas G., Colangelo, Andrew T., Coleman, Jerry S., Coopersmith, Jonathan D., Dehaven, William E., Doty, John P., Egan, Mark D., Enoto, Teruaki, Fan, Terry W., Ferro, Deneen M., Foster, Richard, Galassi, Nicholas M., Gallo, Luis D., Green, Chris M., Grosh, Dave, Ha, Kong Q., Hasouneh, Monther A., Heefner, Kristofer B., Hestnes, Phyllis, Hoge, Lisa J., Jacobs, Tawanda M., Jørgensen, John L., Kaiser, Michael A., Kellogg, James W., Kenyon, Steven J., Koenecke, Richard G., Kozon, Robert P., LaMarr, Beverly, Lambertson, Mike D., Larson, Anne M., Lentine, Steven, Lewis, Jesse H., Lilly, Michael G., Liu, Kuochia Alice, Malonis, Andrew, Manthripragada, Sridhar S., Markwardt, Craig B., Matonak, Bryan D., Mcginnis, Isaac E., Miller, Roger L., Mitchell, Alissa L., Mitchell, Jason W., Mohammed, Jelila S., Monroe, Charles A., Montt de Garcia, Kristina M., Mulé, Peter D., Nagao, Louis T., Ngo, Son N., Norris, Eric D., Norwood, Dwight A., Novotka, Joseph, Okajima, Takashi, Olsen, Lawrence G., Onyeachu, Chimaobi O., Orosco, Henry Y., Peterson, Jacqualine R., Pevear, Kristina N., Pham, Karen K., Pollard, Sue E., Pope, John S., Powers, Daniel F., Powers, Charles E., Price, Samuel R., Prigozhin, Gregory Y., Ramirez, Julian B., Reid, Winston J., Remillard, Ronald A., Rogstad, Eric M., Rosecrans, Glenn P., Rowe, John N., Sager, Jennifer A., Sanders, Claude A., Savadkin, Bruce, Saylor, Maxine R., Schaeffer, Alexander F., Schweiss, Nancy S., Semper, Sean R., Serlemitsos, Peter J., Shackelford, Larry V., Soong, Yang, Struebel, Jonathan, Vezie, Michael L., Villasenor, Joel S., Winternitz, Luke B., Wofford, George I., Wright, Michael R., Yang, Mike Y., and Yu, Wayne H.
- Published
- 2016
- Full Text
- View/download PDF
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