A dynamic study of the post-impact transport of Lunar rocks to Earth and its application to the Sept. 11th, 2013 impact

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<p><strong>1. </strong><strong>Introduction</strong></p>
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<p>Lunar meteorites constitute direct, varied samples of the materials forming the lunar surface, allowing to study its bulk chemistry, mineralogy and even geological history. The study of these meteorites not only sheds light on the composition of the Moon but also on its formation and the origin of the Solar System itself. Nowadays we know that these Lunar rocks are delivered to Earth in relative short timescales after being ejected by the impact of an asteroid or a comet from the lunar surface. So far, no lunar meteorite has ever been associated with a crater, not even has been witnessed to fall on Earth [1].</p>
<p>The atmosphere of the Moon is extremely thin, being unable to decelerate particles that are either impacting or escaping from the Moon [2]. It is due to the impact of these high-velocity projectiles that some lunar rocks can be ejected with a velocity above the escape velocity of the Moon (2.38 km/s) [3]. When a projectile of a certain mass impacts the surface of the Moon excavates an impact crater and releases a mass between 3-4 orders of magnitude higher than the projectile mass [3, 4]. Most of the ejected mass falls near the crater and forms continuous ejecta blankets, while the rest follows an impact trajectory far away from the initial impact, while a small part of the ejecta achieves enough velocity to escape the Moon [3, 4]. Our study focuses on the dynamic evolution of these Lunar rocks once they left our satellite, and their ability to reach the Earth as meteorites.</p>
<p>2.&#160;<strong>Methodology</strong></p>
<p>This study simulates trajectories of lunar ejecta to explore which parameters influence on their fate (impactor/survivor) and their transfer time using the Mercury 6 software [5]. It has been built upon the results and possible time limitations of a previous study [6]. Ejecta trajectories are calculated with a simplified&#160;&#160; Solar System model (Earth-Moon-Sun) when time scales are below 1000 years (short transfers). Beyond this value (long transfers, up to 100,000 years), secular perturbations caused by near-by planets are no longer negligible [7] and an 8-planet Solar System model needs to be implemented. Particles found in the vicinity of Earth, at a maximum of 10 Earth's Hill radii, are considered to be in geocentric orbit while those beyond belong to heliocentric orbits. The parameters changed in each simulation were: the local azimuth angle and elevation, launch velocity and the date of the launch. Additionally, the orbital parameters compiled and studied to understand the ejecta evolution and delivery time to our planet.</p>
<p>We have also analyzed a case study corresponding with the impact flare recorded on Sept. 11<sup>th</sup>, 2013 at 20<sup>h</sup>07<sup>m</sup>28<sup>s</sup>.68 UTC by two telescopes in Seville, Spain (37.34611&#186;N, 5.98055&#186;W) provoked by the impact of a meteoroid on the surface of the Moon [8]. The impact was located in the west region of the Mare Nubium, at 17.2&#186;S 20.5&#186; W (selenographic coordinates). We performed a simulation with 360 particles launched across an arc of 360&#186; from the Mare Nubium impact point, ejected at 45&#186; with respect to the local vertical and with a launch velocity 2.6 km/s. The particle's evolution was then propagated until 10<sup>4</sup> years to get information about the delivery efficiency, and common timescale.</p>
<p>3.&#160;<strong>Results</strong></p>
<p>In general we noticed that most ejecta are reaching the Earth in particularly short timescales, between a few days and 10 years. For this fast transfers, predicting if the ejecta will become a future impactor depends only on the launch angle and ejection velocity. Parameters at launch have less and less influence on the fate of the ejecta as time increases. For delivery timescales larger than 1000 years any particle may collide with Earth regardless of its launch angle. The evolution of the main orbital elements for a typical long case is described in Fig. 1. The peak of accumulated collisions shifts to a lower launch velocity at 2.4 km/s.&#160;</p>
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" alt="" /></p>
<p>Figure 1. Evolution of a lunar ejecta impacting with Earth in 7500 years. Stability periods correspond to heliocentric stages (yellow), perturbations occur in geocentric stage (blue).</p>
<p>In general, the orbital elements (a, e, i) present higher oscillations during geocentric orbits than during the heliocentric orbit stages. However, the orbital elements of survivor particles and those of the impactors remain indistinguishable before the impact event.</p>
<p>Concerning the impact event occurred on Sept. 11<sup>th</sup>, 2013 our simulation shows that most rocks reach Earth is relatively short timescales (Fig. 2). A significant number of rocks reach our planet during the first decade after the impact. As a future work we wish to quantify the geometric entry circumstances and the geocentric velocity for selected cases to get clues to better identify these rare fireballs among the heliocentric population.</p>
<p><img src="data:image/jpeg;base64, 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alt="" /></p>
<p>Figure 2. Sept. 11th, 2013 simulation: number of collisions with Earth over time.</p>
<p><strong>Conclusions</strong></p>
<p>The parameters that influence on the fate of the Lunar ejecta (short transfers) are:</p>
<ul>
<li>Launch velocity: accumulated collisions with Earth reach a peak for velocities between 2.6 and 2.7 km/s. For these values nearly 20% of the original ejecta population has impacted with Earth in the first 100 years.</li>
<li>Launch angle (relative angle between launch velocity and lunar velocity): This angle results from the combination of local azimuth, local elevation and particular launch site. When its value is &#8776;120&#186; or above ejecta escape the Moon's gravity with barely any velocity left and eventually &#8220;fall&#8221; due to Earth's pull.</li>
<li>Ejection angle: default is considered at 45&#186;. Its variation only influences Earth collisions for peak collision velocities (between 2.6 and 2.7 km/s) when launches are towards the East or the West (in selenographic coordinates).</li>
</ul>
<p>&#160;</p>
<p><strong>Acknowledgements</strong></p>
<p>The authors acknowledge financial support from the Spanish Ministry (PGC2018-097374-B-I00, PI: JMTR).</p>
<p><strong>&#160;</strong><strong>References</strong></p>
<p>[1] Korotev R. L. (2005) Chemie der Erde 65, 297&#8211;346.</p>
<p>[2] Fritz, J. (2012) Icarus. 221, 1183&#8211;1186.</p>
<p>[3] Artemieva, N. A. and Shuvalov, V. V., (2008) Solar System Res. 42, 329&#8211;334.</p>
<p>[4] Melosh, H. J.,, Oxford University Press, 1989.</p>
<p>[5] Chambers, J. E. (1999), MNRAS 304, 793&#8211;799.</p>
<p>[6] Gladman, B. J., PhD thesis, 1996.</p>
<p>[7] Galibina, I. V. and Terenteva (1982), A. K., AVest , 15, 132&#8211;137</p>
<p>[8] Madiedo, J. M. et al. (2015) MNRAS 439, 2364&#8211; 2369.</p>
<p>&#160;</p>


Introduction
Lunar meteorites constitute direct, varied samples of the materials forming the lunar surface, allowing to study its bulk chemistry, mineralogy and even geological history. The study of these meteorites not only sheds light on the composition of the Moon but also on its formation and the origin of the Solar System itself. Nowadays we know that these Lunar rocks are delivered to Earth in relative short timescales after being ejected by the impact of an asteroid or a comet from the lunar surface. So far, no lunar meteorite has ever been associated with a crater, not even has been witnessed to fall on Earth [1].
The atmosphere of the Moon is extremely thin, being unable to decelerate particles that are either impacting or escaping from the Moon [2]. It is due to the impact of these high-velocity projectiles that some lunar rocks can be ejected with a velocity above the escape velocity of the Moon (2.38 km/s) [3]. When a projectile of a certain mass impacts the surface of the Moon excavates an impact crater and releases a mass between 3-4 orders of magnitude higher than the projectile mass [3,4]. Most of the ejected mass falls near the crater and forms continuous ejecta blankets, while the rest follows an impact trajectory far away from the initial impact, while a small part of the ejecta achieves enough velocity to escape the Moon [3,4]. Our study focuses on the dynamic evolution of these Lunar rocks once they left our satellite, and their ability to reach the Earth as meteorites.

Methodology
This study simulates trajectories of lunar ejecta to explore which parameters influence on their fate (impactor/survivor) and their transfer time using the Mercury 6 software [5]. It has been built upon the results and possible time limitations of a previous study [6]. Ejecta trajectories are calculated with a simplified Solar System model (Earth-Moon-Sun) when time scales are below 1000 years (short transfers). Beyond this value (long transfers, up to 100,000 years), secular perturbations caused by near-by planets are no longer negligible [7] and an 8-planet Solar System model needs to be implemented. Particles found in the vicinity of Earth, at a maximum of 10 Earth's Hill radii, are considered to be in geocentric orbit while those beyond belong to heliocentric orbits. The parameters changed in each simulation were: the local azimuth angle and elevation, launch velocity and the date of the launch. Additionally, the orbital parameters compiled and studied to understand the ejecta evolution and delivery time to our planet.
We have also analyzed a case study corresponding with the impact flare recorded on Sept. 11 th , 2013 at 20 h 07 m 28 s .68 UTC by two telescopes in Seville, Spain (37.34611ºN, 5.98055ºW) provoked by the impact of a meteoroid on the surface of the Moon [8]. The impact was located in the west region of the Mare Nubium, at 17.2ºS 20.5º W (selenographic coordinates). We performed a simulation with 360 particles launched across an arc of 360º from the Mare Nubium impact point, ejected at 45º with respect to the local vertical and with a launch velocity 2.6 km/s. The particle's evolution was then propagated until 10 4 years to get information about the delivery efficiency, and common timescale.

Results
In general we noticed that most ejecta are reaching the Earth in particularly short timescales, between a few days and 10 years. For this fast transfers, predicting if the ejecta will become a future impactor depends only on the launch angle and ejection velocity. Parameters at launch have less and less influence on the fate of the ejecta as time increases. For delivery timescales larger than 1000 years any particle may collide with Earth regardless of its launch angle. The evolution of the main orbital elements for a typical long case is described in Fig. 1. The peak of accumulated collisions shifts to a lower launch velocity at 2.4 km/s. In general, the orbital elements (a, e, i) present higher oscillations during geocentric orbits than during the heliocentric orbit stages. However, the orbital elements of survivor particles and those of the impactors remain indistinguishable before the impact event.
Concerning the impact event occurred on Sept. 11 th , 2013 our simulation shows that most rocks reach Earth is relatively short timescales (Fig. 2). A significant number of rocks reach our planet during the first decade after the impact. As a future work we wish to quantify the geometric entry circumstances and the geocentric velocity for selected cases to get clues to better identify these rare fireballs among the heliocentric population.

Conclusions
The parameters that influence on the fate of the Lunar ejecta (short transfers) are: Launch velocity: accumulated collisions with Earth reach a peak for velocities between 2.6 and 2.7 km/s. For these values nearly 20% of the original ejecta population has impacted with Earth in the first 100 years. Launch angle (relative angle between launch velocity and lunar velocity): This angle results from the combination of local azimuth, local elevation and particular launch site. When its value is ≈120º or above ejecta escape the Moon's gravity with barely any velocity left and eventually "fall" due to Earth's pull. Ejection angle: default is considered at 45º. Its variation only influences Earth collisions for peak collision velocities (between 2.6 and 2.7 km/s) when launches are towards the East or the West (in selenographic coordinates).