Question

We know that most of the mass (>99%) of the solar system is in the Sun....

  1. We know that most of the mass (>99%) of the solar system is in the Sun. Is this consistent with the masses you calculated in the first table, and the solar system rotation curve? Explain your answer.

Planet

Distance from Sun (AU)

Orbital Velocity (km/s)

Mass inside orbit = v2r/887

(solar masses)

Mercury

0.4

47.4

1.013195

Venus

0.7

35.0

0.966741

Earth

1.0

29.8

1.001172

Mars

1.5

24.1

0.982204

Jupiter

5.2

13.1

1.006056

Saturn

9.6

9.7

1.018335

Uranus

19.2

6.8

1.000910

Neptune

30.1

5.4

0.989533

Homework Answers

Answer #1

Yes, within a limit of 2% the calculated mass (Mass inside orbit) is consistent .As the distance from solar center (Sun) increase the orbital speed should decrease.

Force equation => Gravitational pull balancing centrifugal force.

V ^2/R = G M/R^2 ,

Which gives Mass distribution M(R) = V^2*R/G ( which should be constant as Sun has a share of over 99.8%).

( Comparison to rotation curve of spiral galaxies this will be different as there is no evidence of "dark matter" in solar system)

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