What is Saturn's Escape Velocity and How Do I Calculate It?

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Discussion Overview

The discussion centers around calculating Saturn's escape velocity, exploring the methods and formulas used in the calculation. Participants share their approaches and troubleshoot issues related to unit conversions and formula application.

Discussion Character

  • Technical explanation, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant seeks assistance in calculating Saturn's escape velocity and expresses concern over an unexpectedly high result.
  • Another participant asks for clarification on the method being used and the reasoning behind the perceived error.
  • A participant shares the formula for escape velocity, Ve = √(2GM/R), and mentions comparing their results to NASA's data.
  • Questions arise regarding the specific values and units being used in the calculation.
  • A participant identifies a problem related to the units of the radius, noting the need to convert kilometers to meters for accurate results.
  • After correcting the unit issue, the participant claims to have found the escape velocity of Saturn to be 35.546 km/s.
  • Another participant emphasizes the importance of including units in calculations to avoid similar issues in the future.

Areas of Agreement / Disagreement

Participants generally agree on the importance of unit consistency in calculations, but there is no consensus on the initial methods used or the accuracy of the escape velocity value prior to the correction.

Contextual Notes

Limitations include the initial lack of clarity on the units used for the radius and gravitational constant, which may have contributed to the confusion in the calculations.

Who May Find This Useful

Students and enthusiasts interested in astrophysics, planetary science, or those learning about gravitational physics and escape velocity calculations.

Zack Davis
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Hey guys and girls. I've been trying to calculate Saturn's Escape Velocity but my answer is coming out way to high. Could someone demonstrate how I would go about finding Saturn's Escape Velocity?
 
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What method have you been trying to use, and how do you know it's wrong?
 
cjl said:
What method have you been trying to use, and how do you know it's wrong?
I've been using the formula:
Ve= the square root of 2GM/R

I've been comparing my answer to Nasa's data tables on the planets.
 
What values are you plugging into that equation and what are their units?
 
G= 6.67x10^-11
M= 568.3x10^24 Kg
R= 60000 Km
 
Last edited:
I found the problem! I needed to convert the radius of Saturn to meters for the formula to work! My final answer with this fix, the escape velocity of Saturn is 35.546 km per sec.
Thanks everyone!
 
Glad you figured it out. I noticed that when you listed the values you didn't specify the units for G. In the future, you can almost certainly avoid the problem you ran into by including units in your calculations. In this case, you would have run into different "km" and "m" units and you would have realized that you needed to covert one to the other.
 

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