1. Elliptical Orbit perigee moon The moon travels about Earth in an elliptical orbit with Earth at one focus. Find the greatest and smallest distances (the apogee and perigee) from Earth to the moon. earth apogee 768,800 km 767,640 km

2. Elliptical Orbit perigee Sputnik I The first artificial satellite to orbit earth was Sputnik I. Its orbit was elliptical with the center of Earth at one focus. Find the apogee and perigee from Earth’s center to the satellite. Find the least distance and the greatest distance of the satellite to Earth’s surface in this orbit. Earth has a radius of 6378 km. earth apogee 13,906 km 13,887 km

3. Find the standard form of the equation of the ellipse with center at the origin. 28. Foci: (±2,0); major axis of length 6 36. Center: (2, –1) vertex: (2,1/2); minor axis of length 2

8. Center (0,6) Vertices: Foci: Major Axis: Minor Axis: Co-Vertices:

9. Circles Standard Form