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The Planet Mercury Travels in an Elliptical Orbit with Eccentricity 0.7030.703

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The planet Mercury travels in an elliptical orbit with eccentricity 0.7030.703 . Its minimum distance from the Sun is 8×107 km8 \times 10 ^ { 7 } \mathrm {~km} . If the perihelion distance from a planet to the Sun is a(1e)a ( 1 - e ) and the aphelion distance is a(1+e)a ( 1 + e ) , find the maximum distance (in km) from Mercury to the Sun.


Definitions:

Marginal Costs

The additional cost of producing one more unit of a product or service.

External Cost

Costs that are not borne by the individuals or entities responsible for producing or consuming a good or service, often affecting third parties.

Marginal Cost

The increase in total production costs resulting from the production of one additional unit of a product or service.

Artificially Scarce Good

A product or service that is made scarce through artificial means such as monopoly control or government regulations, rather than limited by natural resources.

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