Question

• What is a conic section? What are parametric curve?
• What are Keplers Laws of planetary motion? How many of these laws are there? What do they say/mean?

Answer 1

In mathematics, a conic section is a curve obtained by the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse.

parametric equation defines a group of quantities as functions of one or more independent variables called parameters. Parametric equations are commonly used to express the coordinates of the points that make up a geometric object such as a curve. this curve is known as parametric curve.

laws defined by the scientist kepler ,which tell us about the motion of planets with respect to each other and withe respect to sun are known as Keplers Laws of planetary motion.

there are three Keplers Laws of planetary motion:

1. The orbit of a planet is an ellipse with the Sun at one of the two foci.
2. A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.
3. The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit .