THE ELLIPSE
An ellipse and a hyperbola are the locus of a point, which moves such that its distance from a fixed point (called the focus) is always e times its distance from a fixed line ( called the directrix). For an ellipse e<1 and for a hyperbola e1.
THE ELLIPSE
The equation of an ellipse in the […]
THE HYPERBOLA
The equation of a hyperbola in the standard form is given by
x2/a2 - y2/b2 = 1
The relation between a and b is given by
b2 = a2(1-e2)
PROPERTIES OF A HYPERBOLA
The points A and A’ are called the vertices of the hyperbola. The coordinates of A and A’ are given by (a,0) and […]
MOTION OF PLANETS AND SATELLITES
KEPPLER’S LAWS
All planets in the solar system move in elliptical orbits with the sun at its focus.
The radius vector from the sun to the planet sweeps equal area in equal time.
The square of the time period of a planet is proportional to the […]
SYSTEMS OF PARTICLES
What is center of Mass?
The terms “center of mass” and “center of gravity” are used synonymously in a uniform gravity field to represent the unique point in an object or system which can be used to describe the system’s response to external forces and torques. […]