Gravitational Orbits: True Statements about Circular & Elliptical Orbits

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SUMMARY

The discussion focuses on the true statements regarding circular and elliptical orbits in gravitational physics. For circular orbits, statements a, b, d, and e are true, while statement c is false. In elliptical orbits, statements a, d, and e are also true, but statements b and c are false. Understanding these principles is crucial for grasping the dynamics of celestial mechanics.

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  • Understanding of Newton's laws of motion
  • Basic knowledge of gravitational forces
  • Familiarity with momentum concepts
  • Knowledge of orbital mechanics
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  • Study the principles of Newtonian gravity and its applications in orbital mechanics
  • Learn about the conservation of momentum in celestial systems
  • Explore the mathematical descriptions of circular and elliptical orbits
  • Investigate the role of gravitational forces in orbital stability
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Astronomy students, physics enthusiasts, educators, and anyone interested in understanding the mechanics of planetary motion and gravitational interactions.

Fredley_Banyo
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1. Which of the following statements about a circular orbit are true? (The planet is orbiting around the star.)a. At any instant the momentum of the planet is tangent to the planet's trajectory.

b. The magnitude of the planet's momentum is constant.

c. At every instant, dvector p/dt points from the planet to the star.

d. The direction of the planet's momentum is changing at every instant.

e.The gravitational force on the planet due to the star always acts at a right angle to the planet's momentum.

2. Which of the following statements about an elliptical orbit are true? (The planet is orbiting around the star.)a. At any instant the momentum of the planet is tangent to the planet's trajectory.

b. The magnitude of the planet's momentum is constant.

c. At every instant, dvector p/dt points from the planet to the star.

d. The direction of the planet's momentum is changing at every instant.

e.The gravitational force on the planet due to the star always acts at a right angle to the planet's momentum.I missed this problem on my homework and i would like to know what the correct statements are for each so that i can understand the concepts.
 
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Welcome to PF, Fredley!
The purpose of the forum is to help you work out the answers yourself, so we are not supposed to just give you answers. If you share your thinking or work, we'll be very glad to point out any errors or omissions and aim you in the right direction.
 

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