Question on delta-v and escape velocity?

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SUMMARY

The discussion centers on the relationship between escape velocity and delta-v in the context of rocket propulsion. Specifically, the escape velocity of Earth, approximately 11.2 km/s, can be utilized as delta-v in the ideal rocket equation to determine the necessary mass ratio for missions to the Moon and Mars. The conversation also touches on the need to consider both the main engine and any boosters when calculating the equivalent nozzle exit velocity. Understanding the law of conservation of energy is crucial for deriving escape velocity.

PREREQUISITES
  • Understanding of escape velocity, specifically for Earth at 11.2 km/s.
  • Familiarity with the ideal rocket equation and its components.
  • Knowledge of rocket propulsion systems, including main engines and boosters.
  • Basic principles of the law of conservation of energy.
NEXT STEPS
  • Research the ideal rocket equation and its applications in space missions.
  • Study the concept of delta-v and its significance in orbital mechanics.
  • Learn about the calculations involved in determining escape velocity for various celestial bodies.
  • Explore the impact of different propulsion systems on nozzle exit velocity.
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Aerospace engineers, rocket scientists, students in astrophysics, and anyone interested in the physics of space travel and propulsion systems.

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I apologise if this isn't the right place to post this.

If I was to calculate the escape velocity of a body, e.g. the Earth which is approx. 11.2km/s, could this then be used as the delta-v in the ideal rocket equation to calculate the mass ratio needed?

This would be for both a trip to the moon and to Mars so it's not just LEO. That's why I presume the escape velocity is the delta-v in this case?

Also, If this was so and I could use it, for the equivalent nozzle exit velocity, would I have to add up the main engine and any boosters?

Thanks in advance
 
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To derive the escape velocity of any object, remember to apply the law of conservation of energy.On your latter part of the post , I am not sure of the ideal rocket equation.
 

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