Determining the orbital radius of extrasolar planets

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Homework Help Overview

The discussion revolves around determining the orbital radius of extrasolar planets, with participants expressing confusion about the methods to find this radius. The subject area includes concepts from orbital mechanics and gravitational forces.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss a formula that relates the orbital period to the radius, noting the challenge of observing the mass of the star involved in the calculation. There is mention of the need for estimation or guessing regarding the star's mass based on its characteristics.

Discussion Status

The conversation is ongoing, with some participants seeking specific formulas while others provide insights into the relationships between forces acting on the planet. There is a recognition of the complexity involved in determining the necessary parameters.

Contextual Notes

Participants highlight the difficulty in obtaining certain measurements, particularly the mass of the star, which complicates the calculation of the orbital radius. The original poster expresses a need for clarity in understanding the underlying formulas.

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Homework Statement


Basically I don't understand how you do this - the course I'm doing keeps mentioning the orbital radius of extrasolar planets but doesn't tell you HOW to find it?
Can anyone please help - in plain English, please, I'm not a natural scientist!


Homework Equations





The Attempt at a Solution

 
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We have a formula relating the period of the orbit to its radius. It is easy to observe the period, so the radius can then be calculated. The longer answer is that the formula has the mass of the star in it and that mass is not easy to observe. I think some guessing is involved but I don't really know. Stars are very interesting and a lot is known about how they work, so perhaps there is a way to guess the mass fairly well from observations of the star's characteristics.
 
Delphi51 said:
We have a formula relating the period of the orbit to its radius. It is easy to observe the period, so the radius can then be calculated. The longer answer is that the formula has the mass of the star in it and that mass is not easy to observe. I think some guessing is involved but I don't really know. Stars are very interesting and a lot is known about how they work, so perhaps there is a way to guess the mass fairly well from observations of the star's characteristics.

Hi Delphi
Yes, it's actually the formula I'm trying to find
Best wishes
AggieG
 
There is a lovely way to find the satellite formula for circular motion. You begin by saying Fc = Fg
meaning that the centripetal force required to hold the planet in circular motion is provided by the gravitational force between planet and star. Then fill in the detailed formulas for Fg and Fc (choosing the one with the period T in it rather than the one with velocity).
 

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