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Answer:
Explanation:
From the information given, by applying Kepler's 3rd law,
where;
T = period
a = semi major axis
T = 356 days (for earth)
a = 1 AU = 1.496
Therefore,
c = 3.9791
However, if the body in the solar system has a period of 10.759.22 days, then, a =?
∴
a = 1.4275
However, the velocity for a perihelion = 10.18 km/s
Using the formula
to calculate the radius, we have:
G =
M =
r = perihelion
Similarly, the perihelion is expressed by the equation,
r = a(1 - e)
where ;
e= eccentricity
∴
e ( eccentricity) = 0.0533
Aphelion radius in natural miles, r = a( 1+ e)
to nautical miles, we have:
radius of aphelion nautical miles
In respect to the value of a( i.e
the body of the solar system is Saturn