algebra - Follow Me Maths
... Form and solve linear simultaneous equations to
solve problems. For example:
• In five years’ time, Ravi’s father will be twice as
old as Ravi. In 13 years’ time, the sum of their ages
will be 100. How old is Ravi now?
• A nursery was asked to plant a number of trees in
a number of days. If the nurs ...
Schwarzschild geodesics
In general relativity, the geodesics of the Schwarzschild metric describe the motion of particles of infinitesimal mass in the gravitational field of a central fixed mass M. The Schwarzschild geodesics have been pivotal in the validation of the Einstein's theory of general relativity. For example, they provide quite accurate predictions of the anomalous precession of the planets in the Solar System, and of the deflection of light by gravity.The Schwarzschild geodesics pertain only to the motion of particles of infinitesimal mass m, i.e., particles that do not themselves contribute to the gravitational field. However, they are highly accurate provided that m is many-fold smaller than the central mass M, e.g., for planets orbiting their sun. The Schwarzschild geodesics are also a good approximation to the relative motion of two bodies of arbitrary mass, provided that the Schwarzschild mass M is set equal to the sum of the two individual masses m1 and m2. This is important in predicting the motion of binary stars in general relativity.
