# How do you calculate the aphelion and perihelion of a comet's orbit if it has an orbital period of 83 years and an eccentricity of .875?

Using Kepler's 3rd law the perihelion distance is about 2.375AU and the aphelion distance is about 35.625AU.

The comet's orbit can be roughly calculated using Kepler's third law; the gravitational pull of other bodies in the solar system prevents the comet's actual orbit from being a perfect ellipse.

By signing up, you agree to our Terms of Service and Privacy Policy

The semi-major axis, ( a ) can be calculated using Kepler's third law as follows: [ T^2 = a^3 ] [ a = \left(\frac{T^2}{P^2}\right)^{\frac{1}{3}} ]

The perihelion distance, ( q ), can be calculated using the following formulas: [ q = a \times (1 - e) ] Finally, by substituting the values into the formulas for ( Q ) and ( q ), we can determine the aphelion and perihelion distances.

By signing up, you agree to our Terms of Service and Privacy Policy

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7