If you know that the period is 76 years and the semi major axis is 17.94 AU, how do you calculate the distances of the perihelion and aphelion?
There is not enough information to calculate the apses distances.
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To calculate the distances of the perihelion and aphelion for an orbit with a known period and semimajor axis:

Use Kepler's third law to find the orbit's major axis length ( a ). [ T^2 = \frac{{4\pi^2}}{{GM}} a^3 ] Where: ( T ) = period in seconds ( G ) = gravitational constant (approximately ( 6.674 \times 10^{11} , \text{m}^3 , \text{kg}^{1} , \text{s}^{2} )) ( M ) = mass of the central body (usually the Sun)

Calculate the eccentricity ( e ) of the orbit using the formula: [ e = \sqrt{1  \frac{{b^2}}{{a^2}}} ] Where: ( b ) = semiminor axis length

Determine the distance of the perihelion (( r_p )) and aphelion (( r_a )) using the formulas: [ r_p = a(1  e) ] [ r_a = a(1 + e) ]
Substitute the values of ( a ) and ( e ) calculated from steps 1 and 2 into the respective formulas to find ( r_p ) and ( r_a ).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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