A reliable methodology to determine fireball terminal heights

Slides:



Advertisements
Similar presentations
Gravity Simulation. Gravity Gravity is the weakest of the four fundamental forces. Gravity is responsible for the attraction of massive bodies. Gravitational.
Advertisements

Introduction.
AOSC 634 Air Sampling and Analysis Lecture 3 Measurement Theory Performance Characteristics of Instruments Dynamic Performance of Sensor Systems Response.
Fred Adams, Univ. Michigan Extreme Solar Systems II Jackson, Wyoming, September 2011.
The Islamic University of Gaza Faculty of Engineering Numerical Analysis ECIV 3306 Introduction.
The Islamic University of Gaza Faculty of Engineering Civil Engineering Department Numerical Analysis ECIV 3306 Chapter 1 Mathematical Modeling.
CHAPTER 8 APPROXIMATE SOLUTIONS THE INTEGRAL METHOD
Simulator for the observation of atmospheric entries from orbit A. Bouquet (Student, IRAP) D. Baratoux (IRAP) J. Vaubaillon (IMCCE) D. Mimoun (ISAE) M.
SOLUTION FOR THE BOUNDARY LAYER ON A FLAT PLATE
1 Chapter 6: The States of Matter. 2 PHYSICAL PROPERTIES OF MATTER All three states of matter have certain properties that help distinguish between the.
Molecules in Motion A.the kinetic theory all matter is composed of small particles (atoms, ions, molecules) these small particles are in constant motion.
CJT 765: Structural Equation Modeling Class 7: fitting a model, fit indices, comparingmodels, statistical power.
An Introduction to Programming and Algorithms. Course Objectives A basic understanding of engineering problem solving process. A basic understanding of.
An Empirical Likelihood Ratio Based Goodness-of-Fit Test for Two-parameter Weibull Distributions Presented by: Ms. Ratchadaporn Meksena Student ID:
Computational Biology, Part 15 Biochemical Kinetics I Robert F. Murphy Copyright  1996, 1999, 2000, All rights reserved.
Introduction : In this chapter we will introduce the concepts of work and kinetic energy. These tools will significantly simplify the manner in which.
Math 3120 Differential Equations with Boundary Value Problems
Differential Equations. Definition A differential equation is an equation involving derivatives of an unknown function and possibly the function itself.
Chapter 6 Circular Motion and Other Applications of Newton’s Laws.
Gay-Lussac’s Law Gay-Lussac’s Law
A New Method to Constrain the Drag Coefficients of Meteors in Dark Flight. R. Carter* (U. Oregon), P.S. Jandir* (U.C. Davis), M.E. Kress (Dept. of Physics.
1 Unit 10: Gases Niedenzu – Providence HS. Slide 2 Properties of Gases Some physical properties of gases include: –They diffuse and mix in all proportions.
Xin Xi Feb. 28. Basics  Convective entrainment : The buoyant thermals from the surface layer rise through the mixed layer, and penetrate (with enough.
CHAPTER 3 EXACT ONE-DIMENSIONAL SOLUTIONS 3.1 Introduction  Temperature solution depends on velocity  Velocity is governed by non-linear Navier-Stokes.
1 MODELING MATTER AT NANOSCALES 4. Introduction to quantum treatments The variational method.
1 Topics in Space Weather Topics in Space Weather Lecture 14 Space Weather Effects On Technological Systems Robert R. Meier School of Computational Sciences.
AOS 100: Weather and Climate Instructor: Nick Bassill Class TA: Courtney Obergfell.
Convection in Flat Plate Boundary Layers P M V Subbarao Associate Professor Mechanical Engineering Department IIT Delhi A Universal Similarity Law ……
Hirophysics.com PATRICK ABLES. Hirophysics.com PART 1 TIME DILATION: GPS, Relativity, and other applications.
Ch 8 : Conservation of Linear Momentum 1.Linear momentum and conservation 2.Kinetic Energy 3.Collision 1 dim inelastic and elastic nut for 2 dim only inellastic.
DIMENSIONAL ANALYSIS SECTION 5.
Application of Perturbation Theory in Classical Mechanics
Robot Formations Motion Dynamics Based on Scalar Fields 1.Introduction to non-holonomic physical problem 2.New Interaction definition as a computational.
Lecture 39 Numerical Analysis. Chapter 7 Ordinary Differential Equations.
Celestial Mechanics I Introduction Kepler’s Laws.
Consequences of Impacts based on Atmospheric Trajectory Analysis Maria Gritsevich, Esko Lyytinen, Jouni Peltoniemi, Josep Trigo-Rodríguez,
Current progress in the understanding of the physics of large bodies recorded by photographic and digital fireball networks Manuel Moreno-Ibáñez, Maria.
Introduction.
Introduction to Symmetry Analysis Chapter 2 - Dimensional Analysis
Chapter 2 Theoretical statement:
Meteor Research in the Research and Scientific Support Department (RSSD) of ESA D. Koschny, F. Bettonvil, H. Svedhem, J. Mc Auliffe, M. Gritsevich, H.
INTRODUCTION : Convection: Heat transfer between a solid surface and a moving fluid is governed by the Newton’s cooling law: q = hA(Ts-Tɷ), where Ts is.
Point and interval estimations of parameters of the normally up-diffused sign. Concept of statistical evaluation.
Similarity theory 1. Buckingham Pi Theorem and examples
Annual occurrence of meteorite-dropping fireballs N. A. Konovalova1, T
Nodal Methods for Core Neutron Diffusion Calculations
Margaret Campbell-Brown University of Western Ontario
CJT 765: Structural Equation Modeling
Effects of Dipole Tilt Angle on Geomagnetic Activities
CE 102 Statics Chapter 1 Introduction.
Introduction.
Welcome to engr 2301 ENGINEERING STATICS Your Instructor:
Paulina Wolkenberg1, Marek Banaszkiewicz1
Universal Gravitation
Inference for Geostatistical Data: Kriging for Spatial Interpolation
Emma Taila & Nicolas Petruzzelli
The application of an atmospheric boundary layer to evaluate truck aerodynamics in CFD “A solution for a real-world engineering problem” Ir. Niek van.
Introduction.
Objective of This Course
Introduction.
Introduction.
Experimentation and numerical simulation of meteoroid ablation
Introduction.
Coronal Loop Oscillations observed by TRACE
Modeling Approaches Chapter 2 Physical/chemical (fundamental, global)
Cosmological Scaling Solutions
PHYS 1443 – Section 001 Lecture #8
Introduction.
The structure and evolution of stars
Presentation transcript:

A reliable methodology to determine fireball terminal heights Manuel Moreno-Ibáñez1,2, Maria Gritsevich2 & Josep M. Trigo-Rodríguez1 1Institute of Space Sciences (CSIC-IEEC), Barcelona, Spain 2Finnish Geospatial Research Institute (FGI), Masala, Finland

Scaling laws and dimensionless variables: Equations of motion The equations of motion for a meteoroid entering the atmosphere projected onto the tangent and to the normal to the trajectory 1 2 Variation of the mass 3 Extra equations 4 Use of dimensionless parameters Where index e indicates values at the entry of the atmosphere. h0 is the scale height (7.16 km) (See: Stulov et al.,1995; Stulov, 1997; and Gritsevich, 2007)

Scaling laws and dimensionless variables: final equations In this methodology we gather all the unknown values of the meteoroid’s atmosphere flight motion equations into two new variables (Gritsevich, 2009): Ballistic Coefficient Mass loss parameter Already tested in: Gritsevich, 2008; Gritsevich, 2009; Gritsevich and Koschny, 2011; Bouquet et al., 2014; and Moreno-Ibáñez et al., 2015.

Introduction: terminal heights in the literature. Definition: it is the point during the meteoroid atmospheric flight where its kinetic energy is no longer sufficient to produce luminosity. Ceplecha and McCrosky (1976) Wetherill and Revelle (1981) Focus : to distinguish between ordinary and carbonaceous chondrites within the PN. The end height as the principal discriminating observational parameter in their discussion (photometric mass). Empirical criterion based on the terminal height (dynamic): Second criterion based on fireball physics: Both criteria are complementary. Focus: to find ordinary chondrites within the PN data. Criterion: any ordinary chondrite shall show similar flight properties that the Lost City ordinary chondrite meteorite. They used four criteria: agreement of the observed and theoretical single-body end heights (using dynamic mass). Similar results than Ceplecha and McCrosky (1976).

Simplifications of the exact solution For quick meteors, a strong evaporation process takes place so β becomes high (β >> 1), the deceleration can be neglected and the velocity thus assumed constant. Stulov (1998, 2004) developed the following asymptotic solution: II However, the meteor velocity begins to decrease in a certain vicinity of m=0. In order to account for this change in velocity we combine the Eq.[1] (valid for arbitrary β values) with the Eq. [3] suitable for high β values:

We compare our derived terminal heights with the fireball terminal heights registered by the Meteorite Observation and Recovery Project operated in Canada between 1970 and 1985 (MORP) (Halliday et al. 1996). We use previous α and β values derived by Gritsevich (2009).

Improvement using approximated functions Problem: terminal height hII shows certain discrepancies at low values. Solution: we suggest to improve the performance of the simplification adopted compared to the analytical solution of the problem. vs. We use the mathematical analysis carried out in Gritsevich et al. (2016), which considers the possibility of including an approximation function which slightly modified this equation. This approximation function is thought to improve accuracy in those cases where β > 3, which is not completely our current scenario. We want to improve accuracy for those cases with moderated β values showing low terminal heights.

Future Work Atmospheric correction: the amount of air that a fireball encounters depends on the atmosphere conditions. Thus, it should be considered particularly for large mass, slow, low penetrating fireballs which usually indicate meteorite-droppers. (see Lyytinen and Gritsevich, 2016 ) Annama (2014) Meteor observation: we foresee a calculation of terminal height to be useful when the lower part of the trajectory is not instrumentally registered. New types of studies to be scoped: Meteor height as a function of time: - Determination of luminous efficiency based on meteor duration. - Critical Kinetic Energy to produce luminosity. Analysis of the inverse problem: possible for non decelerated bodies if the terminal height is known  constraints in α and β.

Conclusions We have accurately derived the terminal heights for MORP fireballs using a new developed methodology based on scaling laws and dimensionless variables. This methodology had only been tested on several fully ablated fireballs with large β values (Gritsevich and Popelnskaya, 2008). Now, we have proved it works equally for fully ablated fireballs and meteorite-producing ones. The study of terminal height of large FN datasets could provide interesting knowledge about the recorded fireballs (e.g. works by Ceplecha and McCrosky, 1976; and Wetherill and Revelle, 1981), or show unexpected inaccuracies in the FN recordings. Future work could scope new research based on terminal height analysis. E.g. we can highly recommend the use of equation [7] also to solve inverse problem when heights and velocities are available from the observations, and parameters α and β need to be derived.

mmoreno@ice.csic.es, gritsevich@list.ru , trigo@ice.csic.es, References M. Moreno-Ibáñez, et al., Icarus 250, 544-552 (2015). mmoreno@ice.csic.es, gritsevich@list.ru , trigo@ice.csic.es, Z. Ceplecha and R.E. McCrosky, J.Geophys. Res. 81, 6257-6275 (1976). Bouquet et al. Planetary Space Science 103:238-249 (2014). M. Gritsevich, Solar Syst. Res. 41 (6), 509-514 (2007). M. Gritsevich, Solar Syst. Res. 42, 372-390 (2008). M. Gritsevich and N.V. Popelenskaya, Doklady Phys. 53, 88-92 (2008). M. Gritsevich, Adv. Space Res. 44. 323-334 (2009). M. Gritsevich, and D. Koschny, Icarus 212 (2), 877-884 (2011). M. Gritsevich et al., Mat. Model. Comp. Simul. 8 (1) 1-6 (2016). I. Halliday et al., Meteorit. Planet. Sci. 31, 185-217 (1996). E. Lyytinen and M. Gritsevich, Planet. Space Sci. 120, 35-42(2016). V.P. Stulov et al., Aerodinamika bolidov, Nauka (1995). V.P. Stulov, Appl. Mech. Rev. 50, 671-688 (1997). V.P. Stulov, Planet. Space Sci. 46, 253-260 (1998). V.P. Stulov, Planet. Space Sci. 52 (56), 459-463 (2004). G.W. Wetherill and D.O. Revelle, Icarus 48, 308-328 (1981). F. L. Whipple and L. Jacchia , Smithson. Contrib. Astrophys. 1, 183–206 (1957)