Level:
Project ID:
9000106902
Accepted:
1
Clonable:
0
Easy:
0
Consider a planet traveling around the Sun on an elliptic trajectory. In the perihelion (the
point where the planet is nearest to the Sun) is the distance from the planet to the Sun
\(4.5\, \mathrm{AU}\). The excentricity
of the ellipse is \(0.5\, \mathrm{AU}\).
Find the equation for the trajectory of the planet. Use the coordinate system with center in the
Sun and \(x\)-axis
along the major axis of the ellipse.
\(\frac{(x-0.5)^{2}}
{25} + \frac{y^{2}}
{24.75} = 1\)
\(\frac{x^{2}}
{25} + \frac{(y-0.5)^{2}}
{24.75} = 1\)
\(\frac{x^{2}}
{25} + \frac{y^{2}}
{24.75} = 1\)
\(\frac{(x-0.5)^{2}}
{24.75} + \frac{y^{2}}
{25} = 1\)