Sun's gravitational pull problem

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SUMMARY

The discussion focuses on calculating the distance from Pluto at which a space probe experiences balanced gravitational forces from both the Sun and Pluto. The gravitational force equation, F = G M m / r^2, is utilized to derive the relationship between the distances from the Sun and Pluto. The masses of Pluto (1.3e22 kg) and the Sun (1.99e30 kg) are confirmed, with an incorrect initial calculation of 4.8e8 km being noted. The correct approach involves setting the gravitational forces equal and solving for the distance ratio.

PREREQUISITES
  • Understanding of gravitational force equations, specifically F = G M m / r^2
  • Knowledge of mass values for celestial bodies, particularly Pluto and the Sun
  • Familiarity with algebraic manipulation of equations
  • Basic concepts of astrophysics related to gravitational interactions
NEXT STEPS
  • Study the derivation of gravitational force equations in astrophysics
  • Learn about the concept of gravitational equilibrium in celestial mechanics
  • Research the application of ratios in gravitational calculations
  • Explore the effects of distance on gravitational force in multi-body systems
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in gravitational interactions between celestial bodies.

jperk980
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How far from Pluto must a space probe be along a line toward the Sun so that the Sun's gravitational pull on the probe balances Pluto's pull?

I know that Fs=Fsp and that when i elminate terms i get ((Rsp-x)/x)^2=(Ms/Mp) i uncderstand the mass of pluto to be 1.3e22 kg and the mass of the sun to be 1.99e30 kg and the radius to be 5.91e15 m. I get 4.8e8 to be my answer in km. That is not correct however. Can you help me?
 
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The force of gravity is F = G M m / r^2
So simply set Msun / dsun^2 = Mpluto / dpluto^2, Cancelling G and the mass of you.
Then you can work out a ratio between dsun and dpluto. You know dsun / dpluto so you can work out the position.
 

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