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What is the maximum distance between the Earth and Mercury in kilometers?

The maximum distance between the Sun and Mercury is 7.0 × 10 7 7.0 × 10 7 km while the maximum distance between the Sun and the Earth is 1.5 × 10 8 1.5 × 10 8 km.

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David W. | Experienced ProfExperienced Prof
4.4 4.4 (44 lesson ratings) (44)
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First, information about the orbits:
 
    Mercury is closer to the Sun than the Earth; its orbit is elliptical;
                 maximum distance from the Sun = 7*107km
 
    Earth also has an elliptical orbit;      
                  maximum distance from the Sun = 1.5*1011 km
 
The "maximum distance between the Earth and Mercury" is"
  )max distance from Earth and Sun) + (diameter of Sun) + (maximum distance from Sun to Mercury)
 
Note: this assumes that distance from the Sun in measured from the centers.
 
So.   1.5*1011 + 7*107          [leave out diameter of um]
      150,000,000,000 + 70.000.000 = 150.070.000,000   =    1.507*1011 km
 
This also assumes that the apogee or the Earth and of Mercury can occur opposite sides of the Sun.
Andy C. | Math/Physics TutorMath/Physics Tutor
5.0 5.0 (4 lesson ratings) (4)
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Mercury between Earth and Sun.
 
1.5 x 10^8 km  -  7.0 x 10^7 km
 
10^7 (   1.5 * 10 - 7.0) <--- factors out 10^7
 
10^7 ( 15 - 7) =
 
8 x 10^7
 
 
Alternatively, you can do 150000000 - 70000000 = 80000000