Third Cosmic Velocity: Will Voyagers Leave Solar System?

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SUMMARY

The Voyager probes, currently traveling at speeds of 38,000 mph (17 km/s), are significantly below the third cosmic velocity of 42 km/s required to escape the Sun's gravity well at Earth's orbit distance. Voyager 2 is even slower than its counterpart. The escape velocity is contingent upon the spacecraft's position within the gravitational field, and at their current locations, the Voyagers will not achieve escape velocity but may enter large elliptical orbits. A graph illustrating Voyager 2's velocity compared to escape velocity is available on its Wikipedia page, alongside a simulation tool for visualizing hyperbolic trajectories.

PREREQUISITES
  • Understanding of cosmic velocities and their significance in space travel
  • Familiarity with gravitational wells and escape velocity concepts
  • Basic knowledge of the Voyager spacecraft missions
  • Experience with orbital mechanics and trajectory simulations
NEXT STEPS
  • Explore the concept of escape velocity in different gravitational fields
  • Learn about the trajectory calculations for interstellar missions
  • Investigate the Voyager spacecraft's mission data and performance metrics
  • Utilize the gravity simulation tool to visualize spacecraft trajectories
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Aerospace engineers, astrophysicists, educators in space science, and anyone interested in the dynamics of spacecraft navigation beyond the solar system.

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The cosmic velocities are dependent on position in the gravity well. The 42 km/s is the escape velocity in the Sun's gravity well at the distance of Earth's orbit. It's much lower where the Voyagers are currently.

There's a nice graph of Voyager 2's velocity vs escape velocity on its Wikipedia page:
512px-Voyager_2_velocity_vs_distance_from_sun.svg.png

The spikes are flyby manoeuvres.
 

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