IRIS - Research

IRIS

RESEARCH

PHYSICAL COLLISIONS

Bounce of a spinning ball near normal incidencehttps://pdfs.semanticscholar.org/5a4a/c4105406ff2055344e943093687002da8513.pdfProvides formula used for calculating the spin of a sphere after an elastic collision with another surface.
Elastic Collisions in Two Dimensionshttps://www.pearsonschoolsandfecolleges.co.uk/secondary/Mathematics/16plus/EdexcelModularMathematicsforASandALevel/Samples/NewSampleChapters/Mechanics4SampleChapter.pdfPresents base formulas using Newton’s Law of Restitution for momentum and velocity after an elastic collision.
Elastic Compression of Spheres and Cylinders at Point and Line Contacthttps://emtoolbox.nist.gov/publications/nationalstandardslaboratorytechnicalpaperno25.pdfPresents the formulas and data used for the calculation of the compression effects which occur from spheres colliding with other surfaces.
Landing materials on the Moon or Mars with less fuel, engines, structurehttp://www.hunchdesign.com/uploads/2/2/0/9/22093000/landing_materials_on_the_moon_and_mars_with_less_fuel_and_engines.pdfSpecifies multiple details and variables that must be accounted for when considering the elastic collision of the model ball and the moon.
Methods for Measuring the Coefficient of Restitution and The Spin of a Ballhttps://nvlpubs.nist.gov/nistpubs/jres/34/jresv34n1p1_a1b.pdfDetails four methods of measuring the coefficient of restitution for colliding spheres alongside a correction for spin when calculating a collision.
Hyperphysicshttp://hyperphysics.phy-astr.gsu.edu/hbase/index.htmlPresents formula used for moment of inertia, structural properties of a sphere and spring-like collision, thermodynamics, and general physical motion.
Newton's Law of Cooling or Heatinghttp://web.math.ucsb.edu/~myoshi/cooling.pdfProvides Newton's Law of cooling and heating and general temperature changing due to conductivity.
Omnicalculatorhttps://www.omnicalculator.com/Presents various formulas for physical and thermodynamic interactions as good comparison points for computer simulation.
Orbital Mechanics for Engineering Studentshttps://www.amazon.com/Orbital-Mechanics-Engineering-Students-Aerospace/dp/0750661690/Foundation text for aerospace. Details contemporary behavior of orbiting spacecraft and provides formulas with which to predict rigid-body dynamics.
Projectile Motion with Air Resistancehttp://farside.ph.utexas.edu/teaching/336k/Newtonhtml/node29.htmlProvides economical parametric formulas for the trajectory of a projectile (including air resistance).
Flight Equations with Draghttps://www.grc.nasa.gov/www/k-12/airplane/flteqs.htmlProvides base parametric formulas for the trajectory of a projectile (including air resistance).
Teaching an Old Ball New Tricks Another Look at Energetics, Motion Detectors and a Bouncing Rubber Ballhttps://arxiv.org/ftp/arxiv/papers/2009/2009.12713.pdfProvides graphs of kinetic and potential energy across a trajectory and bounces. Good comparison for similarity with computer simulation.

ORBITAL MECHANICS AND MATHEMATICAL SIMULATIONS

A Comparison of Lunar Landing Trajectory Strategies Using Numerical Simulationhttp://astrogatorsguild.com/wp-content/Astrogator_Training/LunarLanding.pdfPresents and describes several lunar landing trajectory strategies, including those used on the Apollo, Ranger and Surveyor programs and the complete strategies for trajectory design from Earth-launch to Lunar landing
DRAFT Entry, Descent, and Landing Roadmaphttps://www.nasa.gov/pdf/501326main_TA09-EDL-DRAFT-Nov2010-A.pdfDocuments NASA’s DRAFT Space Technology Roadmap, an integrated set of fourteen technology area roadmaps, recommending the overall technology investment strategy and prioritization of NASA’s space technology activities.
Mars Science Laboratory: Entry, Descent, and Landing System Performancehttps://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20090007730.pdfSpecifies details of the Mars Science Laboratory (MSL) mission and its Entry, Descent, and Landing (EDL) systems as it makes its way to the Martian surface.
The MetNet vehicle: a lander to deploy environmental stations for local and global investigations of Marshttps://www.geosci-instrum-method-data-syst.net/6/103/2017/gi-6-103-2017.pdfInvestigates global and related local phenomena on Mars such as atmospheric circulation patterns, boundary layer phenomena, water, dust, and climatological cycles.
Supersonic Vehicle Configuration Transitions to Enable Supersonic Retropropulsion during Mars Entry, Descent, and Landinghttp://www.ssdl.gatech.edu/sites/default/files/papers/mastersProjects/BletteD-8900.pdfDetails types of supersonic vehicle configuration transition events necessary to initiate supersonic retropropulsion as part of human-class Mars entry, descent, and landing
Visualizing Quaternionshttps://eater.net/quaternionsProvides graphics representing quaternions and how they relate to actual physical qualities.
Geogebrahttps://www.geogebra.org/3dWas the basis for testing out and providing many of the graphs and charts for the majority of our project. A very helpful tool in testing out our formulas.
MATLAB Documentationhttps://www.mathworks.com/help/matlab/Provides an incredibly thorough documentation of how to use, fix, and optimize matlab programs. A key aspect in developing our simulation.

EMPIRICAL COMPARISONS

General Motion

Analytical construction of the projectile motion trajectory in midairhttps://arxiv.org/ftp/arxiv/papers/2007/2007.14991.pdfProvides formulas and graphs of estimated projectile motion with which to compare similarity.
The Classic Bullet Projectile Motion Experiment with X & Y Axis Scaleshttps://www.youtube.com/watch?v=Y4jgJK35Gf0Provides a small-scale experiment to estimate accuracy of real-world trajectory and bouncing example.

Rolling

Cycloid Experiment for freshmen physics labshttps://arxiv.org/pdf/1702.06597.pdfProvides simple cycloid experiment involving rolling times of ball across different curves. Good comparison for accuracy of length of time for time segments.

Velocity

Frictionless Racquetball?https://arxiv.org/pdf/1308.5431.pdfProvides graphs of horizontal and vertical velocity for various trajectories and bounces. Good comparison for bouncing calculations and changes in velocity.

MATERIAL ANALYSIS AND POD DESIGN

Analysis of Lunar Regolith Thermal Energy Storagehttps://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19920005262.pdfEvaluates the usage of lunar regolith as a thermal energy storage medium. Mathematically models the absorption and transfer of heat by lunar regolith through its physical properties.
Heat transfer during impacthttp://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.167.2554&rep=rep1&type=pdfDetails the factors needed to determine heat transferred by conduction during the impact of a spherical particle with a surface and how the available theoretical treatment of the heat transfer is based on the Hertzian theory of elastic contact.
Lunar Regolithhttps://curator.jsc.nasa.gov/lunar/letss/regolith.pdfSummarizes base details of the lunar surface and lunar environment (such as thickness of regolith, grain size distribution, atmosphere, micrometeorite impact on soil, etc.).
Mechanical Properties of Titaniumhttps://www.kobelco.co.jp/english/titan/files/details.pdfDetails different material, corrosion resistance, machining, forming, joining, heat treatment, and surface treatment characteristics of commercially pure titanium, titanium alloys, and steel base materials.
Heat treatment of titanium and titanium alloyshttps://ntrs.nasa.gov/citations/19660015720Reviews the heat treatments of several variants of titanium and its alloys, describing the methods, techniques, and equipment currently in usage for the thermal treatment of titanium materials.
Corrosion of titanium: Part I: aggressive environments and main forms of degradationhttps://journals.sagepub.com/doi/pdf/10.5301/jabfm.5000387Analyzes the forms of corrosion affecting titanium due to the severity of the environment and mechanisms.
Modeling the Mechanical Behavior of Ceramic Matrix Composite Materialshttps://ntrs.nasa.gov/citations/19990010023Describes an intensive literature search into the mechanical and material properties of ceramic matrix composites.

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