Calculate Perihelion Distance of Mars Using Solar System Parameters

AI Thread Summary
To calculate the perihelion distance of Mars, the semi-major axis (1.5237 AU) and eccentricity (0.0934) are used in the formula r = a(1 - e^2) / (1 + e cos θ). The correct perihelion distance is 1.38 AU when θ is 0°. The user initially miscalculated, arriving at 16.17 AU, but later confirmed they obtained the correct answer. The discussion highlights the importance of careful calculation and verification in solving orbital mechanics problems. Accurate use of the formula is crucial for determining distances in the solar system.
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Homework Statement


Assuming that the sun lies at the principal focus of the solar system, and given that the semi-major axis and eccentricity of Mars is 1.5237 AU and 0.0934 respectively, calculate:

The distance (in AU) when Mars is closest to the Sun (known as perihelion). The angle θ=0°


Homework Equations



r = a(1 - e^2) / (1 +e cos θ)



The Attempt at a Solution



The correct solution is 1.38 AU

Though if I use the above eqn putting a=1.5237 and e=0.0934 I get an answer of 16.17.

Thanks for any help!
 
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Must be finger problems with the calculator :smile:

What values do you calculate for the numerator and denominator of the expression?
 
Sorry about that! I'm getting the correct answer now...!
 
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