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The Long-Term Orbital Dynamics of Material Ejected from the Earth and Moon


Core Concepts
This research uses n-body simulations to model the long-term trajectories and collision probabilities of material ejected from the Earth and Moon, providing insights into the early Solar System and planetary formation.
Abstract
  • Bibliographic Information: Ipatov, S.I. Migration of bodies ejected from the Earth and the Moon. Planetary Science and Exoplanets in the Era of the James Webb Space Telescope, Proceedings IAU Symposium No. 393. (2024).
  • Research Objective: To investigate the long-term dynamical behavior and collision probabilities of material ejected from the Earth and Moon due to impacts.
  • Methodology: The study employs n-body simulations using the SWIFT integration package to track the trajectories of ejected bodies over hundreds of millions of years, considering the gravitational influence of the Sun and all eight planets.
  • Key Findings:
    • The probability of ejected material returning to Earth is high for velocities slightly above the escape velocity.
    • A significant portion of ejected material likely reached Venus, suggesting potential similarities in their upper layers.
    • The probability of material transfer from Earth to the Moon is relatively low, supporting the theory of a Moon formed close to Earth.
    • Material ejected from the Moon in its current orbit has a significant chance of colliding with Earth, particularly at lower ejection velocities.
  • Main Conclusions:
    • The study provides insights into the exchange of material between the inner Solar System bodies during the Late Heavy Bombardment.
    • The findings have implications for understanding the composition of planetary surfaces and the potential for transferring life-bearing material between planets.
  • Significance: This research contributes to our understanding of the dynamical evolution of the early Solar System and the processes that shaped the terrestrial planets.
  • Limitations and Future Research: The study does not consider the effects of the Moon's gravity on ejected material before it leaves Earth's Hill sphere. Future research could incorporate this aspect and explore the influence of different impact scenarios and ejection mechanisms.
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Stats
The dynamical lifetimes of ejected bodies reached a few hundred million years. At an ejection velocity of 11.5 km/s, the probability of collision with Earth was approximately 0.3. At an ejection velocity of 12 km/s, the probability of collision with Earth was approximately 0.2. At an ejection velocity of 14 km/s, the probability of collision with Earth was approximately 0.15-0.2. The probability of collision with Venus was often about 0.2-0.35 at ejection velocities between 11.5 and 16.4 km/s. The probability of collision with Mercury was about 0.02-0.08 at ejection velocities between 11.3 and 11.5 km/s. The probability of collision with Mars did not exceed 0.025. The probability of collision with the Moon was about 15-35 times less than that with Earth for ejection velocities greater than 11.5 km/s.
Quotes

Key Insights Distilled From

by S.I. Ipatov at arxiv.org 11-12-2024

https://arxiv.org/pdf/2411.05962.pdf
Migration of bodies ejected from the Earth and the Moon

Deeper Inquiries

How might the presence of a protoplanetary disk in the early Solar System have affected the trajectories of ejected material?

The presence of a protoplanetary disk in the early Solar System would have significantly affected the trajectories of material ejected from Earth and the Moon. Here's how: Drag Forces: The protoplanetary disk, primarily composed of gas and dust, would exert a drag force on the ejected bodies. This drag would cause them to lose energy and spiral inwards towards the Sun. The magnitude of this effect would depend on the density of the disk and the size and velocity of the ejected material. Resonances: Gravitational interactions with larger bodies in the disk, like planetesimals or protoplanets, could capture the ejected material into resonance orbits. These resonances could either stabilize the orbits of the ejected material or lead to their eventual ejection from the system. Scattering: Close encounters with massive objects in the disk could scatter the ejected material, significantly altering their trajectories. This scattering could lead to either collisions with other bodies or ejection into the outer Solar System or interstellar space. Planetary Migration: The protoplanetary disk also played a role in the migration of planets, particularly gas giants. This migration would have disrupted the orbits of smaller bodies, including material ejected from Earth and the Moon, potentially scattering them or accreting them onto the migrating planets. In essence, the protoplanetary disk would have acted as a chaotic environment, making it difficult for ejected material to remain in stable orbits. The ultimate fate of these bodies would depend on a complex interplay of factors, including their initial ejection velocity and angle, the density and structure of the disk, and the distribution of other objects within the early Solar System.

Could the impact events that ejected material from Earth and the Moon have also significantly altered their rotation or orbital characteristics?

Yes, large impact events during the Late Heavy Bombardment could have significantly altered the rotation and orbital characteristics of both the Earth and the Moon. Impact effects on Earth: Rotation Axis and Speed: A sufficiently large impact could have tilted Earth's rotational axis, potentially explaining the current obliquity of 23.5 degrees. Such impacts could also have altered Earth's rotational speed, either slowing it down or speeding it up depending on the impact angle and momentum. Orbital Parameters: While less dramatic than changes to rotation, large impacts could have slightly modified Earth's orbital eccentricity, inclination, and even its semi-major axis. These changes would have been relatively small due to Earth's larger mass compared to the impactors. Impact effects on the Moon: Formation of the Lunar Highlands: The Late Heavy Bombardment is believed to be responsible for the heavily cratered lunar highlands. These impacts would have significantly altered the Moon's early surface and potentially its overall shape. Orbital Evolution: Impacts on the Moon, while smaller than Earth, could have had a more noticeable effect on its orbit due to its lower mass. These impacts could have contributed to the Moon's current orbital inclination and eccentricity. It's important to note that the exact effects of these impacts are difficult to model precisely. Factors like the impactor's size, velocity, angle, and composition all play a role in determining the overall effect on Earth and the Moon. However, it is widely accepted that large impacts during the Late Heavy Bombardment played a significant role in shaping the Earth-Moon system we see today.

If life did exist on Earth during the Late Heavy Bombardment, what is the likelihood that it could have survived the ejection and transfer process to another celestial body?

While the idea of life being transferred between planets via impact ejecta, known as lithopanspermia, is intriguing, the likelihood of survival during the Late Heavy Bombardment presents numerous challenges: Extreme Conditions of Ejection: The initial impact event itself would generate immense heat and pressure, likely sterilizing the immediate impact zone. Material ejected from the surface would need to be launched with enough force to escape Earth's gravity but not be completely vaporized in the process. Harsh Space Environment: Once ejected, the material containing potential life would be exposed to the harsh conditions of space, including: Radiation: High levels of solar and cosmic radiation could damage or destroy any organic molecules or microorganisms. Vacuum: The vacuum of space would cause rapid dehydration and potentially rupture cell walls. Temperature Extremes: The lack of an atmosphere would expose the ejected material to extreme temperature fluctuations between the intense cold of space and the heat of direct sunlight. Re-entry and Impact: Assuming some organisms survived the journey, they would then face the challenge of re-entry and impact on another celestial body. The intense heat generated during atmospheric entry and the force of impact could prove fatal. Considering these challenges, the likelihood of life surviving the entire ejection, transfer, and re-entry process during the Late Heavy Bombardment seems quite low. However, it is not entirely impossible. Some extremophile organisms on Earth exhibit remarkable resilience to extreme conditions. Furthermore, the possibility of life originating on another celestial body and being transferred to Earth (exogenesis) cannot be entirely ruled out. Further research and exploration are needed to better understand the potential for life transfer during the early Solar System's chaotic period.
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