Angular separation between moons

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SUMMARY

The discussion focuses on calculating the angular separation between the moons Styx and Nix of Pluto 28 days after they align on the same side. Given that the mass of Nix is 5 x 10^16 Kg and its orbital radius is 48,675 Km, while Styx has an orbital period of 20 Earth days, the angle traveled by Styx in 28 days can be determined using its orbital period. The calculation for Nix's angle involves understanding its orbital dynamics relative to Styx's position.

PREREQUISITES
  • Understanding of orbital mechanics and angular motion
  • Knowledge of Kepler's laws of planetary motion
  • Familiarity with basic trigonometry and angular calculations
  • Ability to perform calculations involving mass and orbital radius
NEXT STEPS
  • Calculate the angular displacement of Styx over 28 days based on its orbital period
  • Determine the angular velocity of Nix using its orbital radius and mass
  • Explore the relationship between orbital radius and angular separation
  • Research the dynamics of multiple moon systems in astrophysics
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in the dynamics of celestial bodies, particularly those studying the moons of Pluto.

Scott Yuill
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Please help I am not sure of how to work this out

The angular separation between Styx and Nix 28 days after they are in line with each other on the same side of Pluto.

Mass of Nix = 5*10^16 Kg
Orbital Radius of Nix = 48675 Km
Orbital period of Styx = 20 Earth days
 
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Through what angle about Pluto will Styx have gone in 28 days?
How will you calculate the angle for Nix?
 

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