A uniform distribution of dust in the solar system adds to the gravitational attraction of the Sun on a planet an additional force F = −m C r where m is the mass of the planet, C is a constant proportional to the gravitational constant and the density of the dust, and r is the radius vector from the Sun to the planet (both considered as points). This additional force is very small compared to the direct Sun-planet gravitational force. Calculate the period for a circular orbit of radius r0 of the planet in this combined field.
A uniform distribution of dust in the solar system adds to the gravitational attraction of the Sun on a planet an additional force
F = −m C r
where m is the mass of the planet, C is a constant proportional to the gravitational constant and the density of the dust, and r is the radius vector from the Sun to the planet (both considered as points). This additional force is very small compared to the direct Sun-planet gravitational force.
Calculate the period for a circular orbit of radius r0 of the planet in this
combined field.
Given that, A uniform distribution of dust in the solar system adds to the gravitational attraction of the Sun on a planet an additional force
F = −m C r
Then We have to calculate the period for a circular orbit of radius of the planet in this combined field.
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