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Full-Text Articles in Physical Sciences and Mathematics

Eccentric Pairs: Analytic Gravitational Waves From Binary Black Holes In Elliptic Orbits, Dillon Buskirk, Maria Babiuc-Hamilton Jan 2023

Eccentric Pairs: Analytic Gravitational Waves From Binary Black Holes In Elliptic Orbits, Dillon Buskirk, Maria Babiuc-Hamilton

Physics Faculty Research

Gravitational waves (GW) from eccentric binaries have intricate signals encoding important features about the location, creation and evolution of the sources. Eccentricity shortens the merger time, making the emitted GW statistically predominant in the observed data once detectors will reach the required sensitivity. We present a novel implementation of fully analytical GW templates from eccentric binary black hole (BBH) mergers within the Wolfram Mathematica software. We increase the accuracy by identifying and minimizing the possible source of errors. We start with an overview of the physics involved in eccentric mergers, then assemble the strain for the inspiral by employing up …


Realistic Binary Neutron Stars Collisions Simulations: Challenges And Opportunities, Maria Babiuc-Hamilton Oct 2021

Realistic Binary Neutron Stars Collisions Simulations: Challenges And Opportunities, Maria Babiuc-Hamilton

Physics Faculty Research

Since 2015, when the LIGO-Virgo collaboration announced the first simultaneous detections of gravitational waves (GW150914) until now, more than 66 gravitational wave detections were reported, but only two signals came from a binary neutron star collision, the GW170817 and GW190425 events. GW170817 was accompanied by an electromagnetic outburst manifested as a kilonova and an off-axis jet. However, no conclusive electromagnetic signature was found to come from the GW190425. Indeed, nature proves again more complicated than our models, and it is still a big question how to model kilonovae, or to understand the mechanisms driving astrophysical jets and gamma ray bursts. …


A Complete Analytic Gravitational Wave Model For Undergraduates, Dillon Buskirk, Maria Babiuc-Hamilton Jan 2019

A Complete Analytic Gravitational Wave Model For Undergraduates, Dillon Buskirk, Maria Babiuc-Hamilton

Physics Faculty Research

Gravitational waves are produced by orbiting massive binary objects, such as black holes and neutron stars, and propagate as ripples in the very fabric of space-time. As the waves carry off orbital energy, the two bodies spiral into each other and eventually merge. They are described by Einstein's equations of general relativity. For the early phase of the orbit, called the inspiral, Einstein equations can be linearised and solved through analytical approximations, while for the late phase, near the merger, we need to solve the fully nonlinear Einstein's equations on supercomputers. In order to recover the gravitational wave for the …


Analytic Modeling Of Eccentric Binary Black Holes : From Inspiral To Merger, Dillon Paige Buskirk Jan 2019

Analytic Modeling Of Eccentric Binary Black Holes : From Inspiral To Merger, Dillon Paige Buskirk

Theses, Dissertations and Capstones

The orbital evolution of black hole binaries is described by two main phases: the inspiral and the merger. Using the post-Newtonian (PN) theory for the inspiral phase of the binary, we build up a Mathematica script to obtain strain waveforms for the inspiral. We expand our previous inspiral formulation to include eccentric orbits, which greatly complicates the calculations. Since this model breaks down as the two bodies approach merger, a separate model for the merger and ring-down is required. This part of the evolution is highly non-linear and numerical relativity (NR) is required to simulate this problem. However, this is …


Planetary Nebula Associations With Star Clusters In The Andromeda Galaxy, Yasmine Kahvaz Jan 2016

Planetary Nebula Associations With Star Clusters In The Andromeda Galaxy, Yasmine Kahvaz

Theses, Dissertations and Capstones

The objective of this research is to find planetary nebulae (PNe) and star cluster associations in the Andromeda galaxy (M31). To identify PNe in M31, a red-green-blue image is obtained using 3 emission line filters of H↵, 5007˚A [OIII], and 6717, 6731˚A [SII], using images from the Local Group Survey. By completing a visual search of the RGB images, 477 PN candidates are identified. In order to find star clusters associated with the PN candidates, an RGB image is made using the Panchromatic Hubble Andromeda Treasury survey. Filter F814W is used as red and filter F475W is used as both …


The Young Solar Analogs Project. I. Spectroscopic And Photometric Methods And Multi-Year Timescale Spectroscopic Results, R. O. Gray, Jon M. Saken, C. J. Corbally, M. M. Briley, R. A. Lambert, I. M. Newsome, M. F. Seeds, Y. Kahvaz Dec 2015

The Young Solar Analogs Project. I. Spectroscopic And Photometric Methods And Multi-Year Timescale Spectroscopic Results, R. O. Gray, Jon M. Saken, C. J. Corbally, M. M. Briley, R. A. Lambert, I. M. Newsome, M. F. Seeds, Y. Kahvaz

Physics Faculty Research

This is the first in a series of papers presenting methods and results from the Young Solar Analogs Project, which began in 2007. This project monitors both spectroscopically and photometrically a set of 31 young (300–1500 Myr) solar-type stars with the goal of gaining insight into the space environment of the Earth during the period when life first appeared. From our spectroscopic observations we derive the Mount Wilson S chromospheric activity index (SMW), and describe the method we use to transform our instrumental indices to SMW without the need for a color term. We introduce three photospheric …


High Gravitational Waveform Accuracy At Null Infinity, Maria Babiuc-Hamilton Jul 2011

High Gravitational Waveform Accuracy At Null Infinity, Maria Babiuc-Hamilton

Physics Faculty Research

The aim of Cauchy-characteristic extraction is to provide a standardized waveform extraction tool for the numerical relativity community. The new extraction tool contains major improvements and corrections to previous versions and displays convergence. The error introduced by CCE satisfies the time domain criteria required for advanced LIGO data analysis. The importance of accurate waveforms to the gravitational wave astronomy has created an urgency for tools like CCE. The source code has been released to the public and is available as part of the Einstein Toolkit. We welcome applications to a variety of generic Cauchy codes implementing Einstein Equations of General …


Phase Retrieval Using A Genetic Algorithm On The Systematic Image-Based Optical Alignment Test Bed, Jaime R. Taylor Jan 2003

Phase Retrieval Using A Genetic Algorithm On The Systematic Image-Based Optical Alignment Test Bed, Jaime R. Taylor

Physics Faculty Research

NASA’s Marshall Space Flight Center’s Systematic Image-Based Optical Alignment (SIBOA) Testbed was developed to test phase retrieval algorithms and hardware techniques. Individuals working with the facility developed the idea of implementing phase retrieval by breaking the determination of the tip/tilt of each mirror apart from the piston motion (or translation) of each mirror. Presented in this report is an algorithm that determines the optimal phase correction associated only with the piston motion of the mirrors.


Genetic Optimization Of A Tensegrity Structure, Jaime R. Taylor Jul 2002

Genetic Optimization Of A Tensegrity Structure, Jaime R. Taylor

Physics Faculty Research

Marshall Space Flight Center (MSFC) is charged with developing advanced technologies for space telescopes. The next generation of space optics will be very large and lightweight. Tensegrity structures are built of compressive members (bars), and tensile members (strings). For most materials, the tensile strength of a longitudinal member is larger than its buckling strength; therefore a large stiffness to mass ratio can be achieved by increasing the use of tensile members. Tensegrities are the epitome of lightweight structures, since they take advantage of the larger tensile strength of materials. The compressive members of tensegrity structures are disjoint allowing compact storage …