Planet Motion: Calculate Star Mass

  • Thread starter Thread starter myoplex11
  • Start date Start date
  • Tags Tags
    Planetary
Click For Summary
SUMMARY

The discussion focuses on calculating the mass of a star based on the orbital characteristics of a planet. Given a planet with a mass of 9.9 x 1023 kg, an orbital distance of 5.6 AU, and an orbital velocity of 32 km/s, the equation used is Ms = v2 r / G. This formula effectively determines the mass of the star (Ms) using gravitational constant (G) and the provided parameters.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with orbital mechanics
  • Knowledge of astronomical units (AU) and their conversion to meters
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the gravitational constant (G) and its significance in astrophysics
  • Learn about circular orbital motion and its mathematical implications
  • Explore the conversion between astronomical units and meters for practical applications
  • Investigate the implications of mass calculations in celestial mechanics
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in celestial mechanics and gravitational calculations will benefit from this discussion.

myoplex11
Messages
45
Reaction score
0

Homework Statement


a 9.9*10^23 kg planet orbits a star in a circular orbit. The planet is 5.6 AU away from the star and has an orbital velocity of 32 km/s. What is the mass of the star. (1AU = 1.496*10^11m)


Homework Equations


G Mp Ms / r^2 = Mp V^2/r



The Attempt at a Solution


Ms = v^2 r /G
is my solution correct
 
Physics news on Phys.org
Looks good to me.
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 13 ·
Replies
13
Views
8K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
3
Views
10K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 1 ·
Replies
1
Views
10K