Computational Science & Engineering
Mentor / Lab:
Professor Kathleen Howell
Specific Research Area / Project:
Employing dynamical systems theory to investigate the influence of a three-body interaction on the dynamics in the circular restricted three-body problem for astronomy applications
Massachusetts Institute of Technology (MIT)
Lab / Personal work-related websites:https://engineering.purdue.edu/people/kathleen.howell.1/index.html
My research involves using frequency analysis, stability analysis and Poincaré maps to investigate the dynamics of a third body (often an exoplanet) orbiting about a large mass ratio binary star system (consisting of a pulsar and white dwarf), under the influence of a gravitational potential that is modified to incorporate many-body interactions.
Since binary star systems exist thousands of light years away from our solar system, we cannot send a spacecraft to their vicinity; therefore, it is possible that the gravitational field near the binary may not be accurately modeled using traditional gravity models. The gravity between two objects is typically modeled to depend upon the inverse of the square of the distance between both bodies. When modeling the gravity between multiple bodies, scientists and engineers often consider only gravitational forces between each pair of bodies. This technique is used for simple models of systems at various length scales: from the molecular level to astronomical length scales. In my interdisciplinary research, which is conducted in collaboration with Professor Fischbach in the Physics department, I consider the presence of an additional three-body gravitational interaction in the vicinity of the pulsar and the white dwarf. This gravitational modification depends inversely upon the distance between all three bodies: the closer the pulsar, white dwarf and exoplanet, the stronger the three-body interaction.
For an exoplanet to be bound to the vicinity of the binary over a long period of time, it likely exhibits near-repeatable motion in the form of quasi-periodic orbits. Infinitely many of these orbits exist at various position and velocity combinations, with various properties. Computing an infinite number of trajectories, with no intuition of the possible motions, is highly impractical. Therefore, we can employ interdisciplinary computational and visualization techniques to intelligently and efficiently search for and characterize these candidate orbits for an exoplanet.
I began my undergraduate career at MIT knowing that I wanted to pursue a career in aerospace engineering. However, there were a multitude of disciplines and applications that I found fascinating. It wasn’t until the summer before my senior year when I participated in a summer research program at the California Institute of Technology that I found my true passion: astrodynamics. This discipline involves modeling a spacecraft, exoplanet or asteroid, for example, as it moves under the influence of various forces around some central body, such as a star or planet. After hearing about the interesting astrodynamics research being conducted at Purdue University, I decided to come here and have since joined Professor Howell’s Multi-body Dynamics Research Group in the AAE Department. Given the computationally intensive nature of our research, I have found immense value in being part of the Computational Science and Engineering program, which has provided me with the knowledge to incorporate various interdisciplinary tools into my research.
- Purdue School of Aeronautics and Astronautics Research Symposium Series 2013, Second Place Presentation
- Purdue Graduate Student Government Professional Grant 2013
- Purdue Society of Industrial and Applied Mathematics (SIAM) Computational Science and Engineering Student Conference 2013, Best Poster Award
- Purdue Office of Interdisciplinary Graduate Programs 2013 Spring Reception, Certificate of Excellence in Computational Science and Engineering
- Purdue Graduate Student Government Travel Grant 2012
- Purdue University Computational Science and Engineering Lynn Fellowship 2010-2011
- Bosanac, N; Howell, K; Fischbach, E. 'Exploring the Impact of a Three-Body Interaction Added to the Gravitational Potential Function in the Restricted Three-Body Problem,'' AAS 13-490, February 2013 at 23rd Space Flight Mechanics Meeting, Kauai, HI.
- Bosanac, N; Do, S; Wen, H Y; Wicht, A. 'GPA-SS: An Approach to Low Cost Space Telescope Design Using Space-Qualified Ground Telescopes,'' 7731-62, June 2010 at SPIE Space Telescopes and Instrumentation 2010: Optical, Infrared and Millimeter Wave Conference, San Diego, CA.
- Bosanac, N; Marsden, J E; Moore, A; Campagnola, S. 'Titan Trajectory Design Using Invariant Manifolds and Resonant Gravity Assists,'' AAS 10-170, February 2010 at 20th Space Flight Mechanics Meeting, San Diego, CA.
- Exploring the Influence of a Three-Body Interaction Added to the Gravitational Potential in the Circular Restricted Three-Body Problem: A Numerical Frequency Analysis. - https://engineering.purdue.edu/people/kathleen.howell.1/Publications/Masters/2012_Bosanac.pdf
- "Team Explorer - TAPER: Technology Advancing Phobos Exploration and Return" - California Institute of Technology Space Challenge, 2013; Pasadena, CA. Group Presentation.
- "Exploring the Impact of a Three-Body Interaction Added to the Gravitational Potential Function in the Restricted Three-Body Problem" - Purdue University Department of Aeronautics and Astronautics Research Symposium Series, 2013; West Lafayette, IN. | AAS/AIAA 23rd Space Flight Mechanics Conference, February 2013; Kauai, HI.
- "Titan Trajectory Design Using Invariant Manifolds and Resonant Gravity Assists" - AAS/AIAA 20th Space Flight Mechanics Conference, February 2010; San Diego, CA.
- "Exploring the Impact of an Additional Three-Body Interaction in the Restricted Three-Body Problem" - Purdue University Chapter for Society of Industrial and Applied Mathematics (SIAM) Computational Science and Engineering Student Conference, 2013. | Purdue University Office of Interdisciplinary Graduate Programs Spring Reception, 2013.
- Purdue University Office of Interdisciplinary Graduate Programs Student Advisory Board (2012-2013)
- Computational Science Leadership Team (for the CSE/CLS Programs)
- Mentor for incoming graduate students, Department of Aeronautics and Astronautics Aero Assist Mentorship Program (2012, 2013)
- Volunteer Purdue Space Day, organized by Department of Aeronautics and Astronautics for students in nearby schools (2011, 2012)