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I Calculating semi-major axis and minimum mass of an exoplanet

  1. Jun 6, 2016 #1
    Hello guys,

    I'm doing my physics coursework on kepler's third law and I'm finding the minimum mass and semi-major axis of a unknown planet. I have the following data:

    Stellar mass Mstar = 1.31 ± 0.05 Msun

    Orbital period P = 2.243752 ± 0.00005 days

    Radial velocity semi-amplitude: V = 993.0 ± 3 m/s

    Inclination i = 84.32º ± 0.67

    We assume eccentricity e=0

    Gravitational constant, G=6.67408 × 10-11 m3 kg-1 s-2

    Jupiter mass: Mj=1,898 × 10^27 kg

    From this I found that,
    semi-major axis = 5.49042 x 10^9 m = 0.037 AU
    Minimum mass = 1.46082 x 10^28 kg = 7.696 Mjupiter

    The results are correct. However, I am not able to find the uncertainties of these two values. I would appreciate some help with this matter.

    Thank you,

    Mauro
     
  2. jcsd
  3. Jun 7, 2016 #2
    Hi Mauro:

    If you show the actual calculations that you used to derive semi-major axis and Minimum mass, I think that I can show you how to calculate the uncertainties.

    Regards,
    Buzz
     
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