A Monte Carlo type simulation toolbox for solar system small body dynamics

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1 A Monte Carlo type simulation toolbox for solar system small body dynamics D. Kastinen 1,2 and J. Kero 2 1 Department of Computer Science, Electrical and Space Engineering Luleå University of Technology (LTU), Sweden 2 Swedish Institute of Space Physics (IRF), Kiruna, Sweden June 7, 2016

2 Outline 1 Introduction Motivation 2 Software Overview Module overview 3 Input state 21P/Giacobini-Zinner 4 Some results October Draconids validation

3 Motivation Outline 1 Introduction Motivation 2 Software Overview Module overview 3 Input state 21P/Giacobini-Zinner 4 Some results October Draconids validation

4 Motivation Statistical Motivation for the statistical approach: Chaos expand orbital uncertainties when systems are propagated Many orbital uncertainties are non-gaussian It is useful to find the distribution of possible scenarios...

5 Motivation Motivation for the module approach: Minimize the amount of re-inventing the wheel Make the toolbox as versatile as possible Create a laboratory for models and meteoroid streams Eventually make the code open-source and easy to adapt...

6 Motivation Module based toolbox To set up a testing platform for the statistical approach I needed: A set of programs to handle Initial distribution Propagation Association Ejection Monte Carlo iteration Data flow

7 Overview Outline 1 Introduction Motivation 2 Software Overview Module overview 3 Input state 21P/Giacobini-Zinner 4 Some results October Draconids validation

8 Overview Module based toolbox Monte Carlo Module: rows Parent Body Ejector: rows Orbital Association Module: rows For comparison: the N-body integrator mercury6: rows

9 Overview Module based toolbox Most of the code is infrastructure File I/O, formatting, data transformation, log systems, ect C++: balance computational speed and ease of modification

10 Module overview Outline 1 Introduction Motivation 2 Software Overview Module overview 3 Input state 21P/Giacobini-Zinner 4 Some results October Draconids validation

11 Module overview Module based toolbox

12 Module overview Module based toolbox Statistical Uncertainty Orbital Clones: Object data (e.g. observations) Orbital element distributions

13 Module overview Module based toolbox

14 Module overview Module based toolbox Parent Body Ejector: Initial parent body data (e.g. orbit and comet type) Set of ejected particles

15 Module overview Module based toolbox

16 Module overview Module based toolbox

17 Module overview Module based toolbox Monte Carlo Association Statistics: Connecting everything, handles the total simulation

18 Module overview Module based toolbox So far: 4 cometary ejection models (3 sublimation, 1 user function) 2 integrators (Symplectic, electromagnetic effects,...) 4 orbital similarity functions (e.g D-criteria) And so on...

19 21P/Giacobini-Zinner Outline 1 Introduction Motivation 2 Software Overview Module overview 3 Input state 21P/Giacobini-Zinner 4 Some results October Draconids validation

20 21P/Giacobini-Zinner The case study Purpose of 21P/Giacobini-Zinner case study: Proof of concept Implementation validation Investigation of mass power law deviations Temporal development of orbital associations

21 21P/Giacobini-Zinner Input state Ejected material between 1866 and 1972 Ejection model by (Hughes 2000) Each of the 17 perihelion passages sampled with 50 clones test particles propagated Particles within Earth Hill Sphere considered meteors ( total) Execution time on 2 personal computers: 1 week

22 October Draconids validation Outline 1 Introduction Motivation 2 Software Overview Module overview 3 Input state 21P/Giacobini-Zinner 4 Some results October Draconids validation

23 October Draconids validation 2011 October Draconids

24 October Draconids validation 2011 October Draconids

25 Outline 1 Introduction Motivation 2 Software Overview Module overview 3 Input state 21P/Giacobini-Zinner 4 Some results October Draconids validation

26 The case study Usually the mass ratio s (amplitude/duration) is considered a simple power law (mass index). By comparing radar and visual meteors (Ye et al., 2013b), (Fujiwara et al., 2016): 2011 October Draconids followed the power law 2012 did not Why? How? Observational bias or meteoroid stream physics?

27 2011 October Draconids mean encounter rates

28 2011 October Draconids probability distribution

29 2012 October Draconids mean encounter rates

30 2012 October Draconids probability distribution

31 Mass transfer functions

32 Mass transfer functions Thank you for listening!

33

34 2011 October Draconids Mass transfer functions

35 2012 October Draconids Mass transfer functions

36 Predictions

37 Statistical Uncertainty Orbital Clones Adopted from OpenOrb: Open-source asteroid orbit computation software including statistical ranging by GRANVIK et al.

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