First, by changing the time scale, the period of the periodic orbit of a nonlinear system is drawn into the governing equation of this system explicitly. Then, the period is used as a parameter in the iteration procedure of the shooting method. The periodic orbit of the system and the ...
The equation is- f=1/2π√g/L. Period (T) of a simple pendulum is T=2π√L/g. A simple pendulum consists of a mass (m) hanging from a string of length (L) and fixed at a pivot point (P). When it is displaced to an initial angle and then it is released, the pendulum ...
period: An interval of time characterized by the occurrence of a certain condition, event, or phenomenon.
A sidereal period is the time it takes a celestial body such as a planet to complete an orbit, as measured against the background of the fixed stars. Sidereal months (the time it takes the Moon to complete an orbit) and sidereal years (the time it takes Earth to complete an orbit) ar...
systems are not only physical laboratories that reveal the interesting results of exposing a close companion star to the relativistic energy output of a pulsar, but are also believed to harbour some of the most massive neutron stars4, allowing for robust tests of the neutron star equation of ...
Using the equation P2 = (4 * pi2 * a3)/(G(M+m)) to find the orbital period of Earth where: P = orbital period a = semi-major axis = 1.50e11 m G = 6.67e-11 m3 kg-1 s-2 M = mass of sun (in this case) = 1.989e30 kg m = mass of Earth = 5.972e24 kg I have bee...
To solve the problem, we will follow these steps:Step 1: Understand the relationship The time period \( T \) of a pendulum is given by the formula: \( T \propto \frac{\sqrt{L}}{\sqrt{g}} \) This means that \( T \) is directly p
The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years. The period of orbit for the Earth around the Sun is approximately 365 days; it takes 365 ...
Most planets' rotation is to the east, as for the Earth. Some planets (Venus, Uranus and Pluto) rotate to the west if the North Pole is defined as the one 'on top' of the planet (above the plane of our orbit). For those planets we can say they are upside down (tilt greater tha...
By using second-order averaging method,this paper analyzes the primary resonance bifurca- tion and period-doubling bifurcation in a single-machine infinite-bus power system disturbed by a periodic load,which changes the problems of periodic orbit bifurcations into those of equilibrium bifurcations. 文...